# Hypothesis illustration

Another example might be that there is no relationship between anxiety and athletic performance (i.e., the slope is zero). The alternative hypothesis states the opposite and is usually the hypothesis you are trying to prove (e.g., the two different teaching methods did result in different exam performances). Initially, you can state these hypotheses in more general terms (e.g., using terms like "effect "relationship etc. as shown below for the teaching methods example: Null Hypotheses (H0 Undertaking seminar classes has no effect on students' performance. Alternative, hypothesis (ha undertaking seminar class has a positive effect on students' performance. Depending on how you want to "summarize" the exam performances will determine how you might want to write a more specific null and alternative hypothesis. For example, you could compare the mean exam performance of each group (i.e., the "seminar" group and the "lectures-only" group).

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Note that the quality control specialist obtains the same scientific conclusion regardless of the approach used. In closing In our review of hypothesis tests, we have focused on just one particular hypothesis test, namely that concerning the population mean (mu). The important thing to recognize is short that the topics discussed here — the general idea of hypothesis tests, errors in hypothesis testing, the critical value approach, and the p -value approach — generally extend to all of the hypothesis tests you will encounter. Hypothesis, testing, the null and alternative hypothesis, in order to undertake hypothesis testing you need to express your research hypothesis as a null and alternative hypothesis. The null hypothesis and alternative hypothesis are statements regarding the differences or effects that occur in the population. You will use your sample to test which statement (i.e., the null hypothesis or alternative hypothesis ) is most likely (although technically, you test the evidence against the null hypothesis ). So, with respect to our teaching example, the null and alternative hypothesis will reflect statements about all statistics students on graduate management courses. The null hypothesis is essentially the "devil's advocate" position. That is, it assumes that whatever you are trying to prove did not happen ( hint: it usually states that something equals zero). For example, the two different teaching methods did not result in different exam performances (i.e., zero difference).

(The standard summary error of the mean "se mean calculated by dividing the standard deviation.1027 by the square root of n 10,.0325). The test statistic t *.54, and the p -value.158. If the quality control specialist sets his significance level α.05 and used the critical value approach to conduct his hypothesis test, he would reject the null hypothesis if his test statistic t * were less than -2.2622 or greater than.2622 (determined using. That is, the test statistic does not fall in the "critical region." There is insufficient evidence, at the.05 level, to conclude that the mean thickness of all of the manufacturer's spearmint gum differs from.5 one-hundredths of an inch. If the quality control specialist used the p -value approach to conduct his hypothesis test, he would determine the area under a t n - 1 t 9 curve, to the right.54 and to the left of -1.54: In the output above, minitab. Since the p -value,.158, is greater than.05, the quality control specialist fails to reject the null hypothesis. There is insufficient evidence, at the.05 level, to conclude that the mean thickness of all pieces of spearmint gum differs from.5 one-hundredths of an inch.

If the biologist used the p -value approach to conduct her hypothesis test, she would determine the area under a t n - 1 t 32 curve and to the left of the test statistic t * -4.60: In the output above, minitab reports that. Since the p -value is less than.001, it is clearly less than.05, and the biologist rejects the null hypothesis. There is sufficient evidence, at the.05 level, to conclude that the mean height of all such sunflower seedlings is less than.7. Note again that the biologist obtains the same scientific conclusion regardless of the approach used. Example: Two-tailed test A manufacturer claims that the thickness of the spearmint gum it produces.5 one-hundredths of an inch. A quality control revelation specialist regularly checks this claim. On one production run, he took a random sample of n 10 pieces of gum and measured their thickness. He obtained:.65.60.65.70.55.55.40.40.50.50 The quality control specialist's hypotheses are: H 0 :.5 h a :.5 The quality control specialist entered his data into minitab and requested that the "one-sample t -test". He obtained the following output: The output tells us that the average thickness of the n 10 pieces of gums was.55 one-hundredths of an inch with a standard deviation.1027.

The biologist treated a random sample of n 33 seedlings with the extract and subsequently obtained the following heights:.5.8.7.1.1.5.2.0.8.4.2.5.5.5.4.7.9.0.1.1.3.4.5.3.9.1. She obtained the following output: The output tells us that the average height of the n 33 sunflower seedlings was.664 with a standard deviation.544. (The standard error of the mean "se mean calculated by dividing the standard deviation.664 by the square root of n 33,.443). The test statistic t * is -4.60, and the p -value,.000, is to three decimal places. Minitab will always report p -values to only 3 decimal places. If Minitab reports the p -value.000, it really means that the p -value is mething. Throughout this course (and your future research! when you see that Minitab reports the p -value.000, you should report the p -value as being ".001." If the biologist set her significance level α.05 and used the critical value approach to conduct her hypothesis test, she would reject. That is, the test statistic falls in the "critical region." There is sufficient evidence, at the.05 level, to conclude that the mean height of all such sunflower seedlings is less than.7.

### Image gallery hypothesis clip art

(The standard error of the mean "se mean calculated by dividing the standard deviation.31 by the square root of n 25,.06). The test statistic t *.22, and the, p -value.117. If the engineer set his significance level α.05 and used the critical value approach to conduct his hypothesis test, he would reject the null hypothesis if his test statistic t * were greater than.7109 (determined using statistical software or a t -table. That is, the test statistic does not fall in the "critical region." There is insufficient evidence, at the.05 level, to conclude that the mean Brinell hardness of all such ductile iron pieces is greater than 170. If the engineer used the p -value approach to conduct his hypothesis test, he would determine the area under a t n - 1 t 24 curve and to the right of the test statistic t *.22: In the output above, minitab reports that.

Since the p -value,.117, is greater than.05, statement the engineer fails to reject the null hypothesis. There is insufficient evidence, at the.05 level, to conclude that the mean Brinell hardness of all such ductile iron pieces is greater than 170. Note that the engineer obtains the same scientific conclusion regardless of the approach used. This will always be the case. Example: Left-tailed test A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings than the standard height.7.

Albert Einstein's theory of relativity, for example, consists of statements that were originally considered to be hypotheses (and daring at that). But all the hypotheses of relativity have now achieved the authority of scientific laws, and Einstein's theory has supplanted Newton's laws of motion. In some cases, such as the germ theory of infectious disease, a theory becomes so completely accepted, it stops being referred to as a theory. The American Heritage Science dictionary copyright 2011. Published by houghton Mifflin Harcourt Publishing Company.

Hypothesis in Culture (heye-poth-uh-sis) plur. Hypotheses (heye-poth-uh-seez) In science, a statement of a possible explanation for some natural phenomenon. A hypothesis is tested by drawing conclusions from it; if observation and experimentation show a conclusion to be false, the hypothesis must be false. (see scientific method and theory.) Show More The new Dictionary of Cultural Literacy, third Edition Copyright 2005 by houghton Mifflin Harcourt Publishing Company. Printer-friendly version, example: Right-tailed test, an engineer measured the Brinell hardness of 25 pieces of ductile iron that were subcritically annealed. The resulting data were:, the engineer hypothesized that the mean Brinell hardness of all such ductile iron pieces is greater than 170. Therefore, he was interested in testing the hypotheses: H 0 : μ 170. H a : μ 170, the engineer entered his data into minitab and requested that the "one-sample t -test" be conducted for the above hypotheses. He obtained the following output: The output tells us that the average Brinell hardness of the n 25 pieces of ductile iron was 172.52 with a standard deviation.31.

### Writing guide: Narrow Themes

A scientific law is a hypothesis that is assumed to friend be online universally true. A law has good predictive power, allowing a scientist (or engineer) to model a physical system and predict what will happen under various conditions. New hypotheses inconsistent with well-established laws are generally rejected, barring major changes to the approach. An example is the law of conservation of energy, which was firmly established but had to be qualified with the revolutionary advent of quantum mechanics and the uncertainty principle. A theory is a set of statements, including laws and hypotheses, that explains a group of observations or phenomena in terms of those laws and hypotheses. A theory thus accounts for a wider variety of events than a law does. Broad acceptance of a theory comes when it has been tested repeatedly on new data and been used to make accurate predictions. Although a theory generally contains hypotheses that are still open to revision, sometimes it is hard to know where the hypothesis ends and the law or theory begins.

Show More related formshypothetical (hīpə-thĕtĭ-kəl) adj. The American Heritage Stedman's Medical Dictionary copyright 2002, 2001, 1995 by houghton Mifflin Company. Published by houghton Mifflin Company. Hypothesis in Science hī-pŏthĭ-sĭs Plural hypotheses (hī-pŏthĭ-sēz) A statement that explains or makes generalizations about a set of facts or principles, usually forming a basis for possible experiments to confirm its viability. Show More Usage: The words hypothesis, law, and theory refer to different kinds of statements, or sets of statements, that scientists make about natural phenomena. A hypothesis is a proposition that attempts to explain a set of facts in a unified way. It generally forms the basis of experiments designed love to establish its plausibility. Simplicity, elegance, and consistency with previously established hypotheses or laws are also major factors in determining the acceptance of a hypothesis. Though a hypothesis can never be proven true (in fact, hypotheses generally leave some facts unexplained it can sometimes be verified beyond reasonable doubt in the context of a particular theoretical approach.

plural -ses (-siz) a suggested explanation for a group of facts or phenomena, either accepted as a basis for further verification (working hypothesis) or accepted as likely to be truecompare theory (def. 5) an assumption used in an argument without its being endorsed; a supposition an unproved theory; a conjecture, show More derived Formshypothesist, noun Word Origin C16: from Greek, from hupotithenai to propose, suppose, literally: put under; see hypo-, thesis Collins English Dictionary - complete unabridged. 1979, 1986 harperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012 Word Origin and History for hypothesis. 1590s, from Middle French hypothese and directly from Late latin hypothesis, from Greek hypothesis "base, basis of an argument, supposition literally "a placing under from hypo- "under" (see sub- ) thesis "a placing, proposition" (see thesis ). A term in logic; narrower scientific sense is from 1640s. Show More Online Etymology dictionary, 2010 douglas Harper hypothesis in Medicine (hī-pŏthĭ-sĭs). Hypotheses (-sēz) A tentative explanation that accounts for a set of facts and can be tested by further investigation.

Examples from the web for hypothesis. Contemporary Examples, though researchers have struggled to understand exactly what contributes to this gender difference,. Rohan has one hypothesis. In 1996, john paul ii called the big Bang theory more than a hypothesis. This hypothesis was the work of pre-world War ii german and Austrian researchers and came of age about in the. Archeologists call this report the final shovelful of dirt on the european hypothesis. He talks with doctors and scientists who study cognition, and cites a raft of research that bolsters his hypothesis. Historical Examples, every one must admit, i think, that what Tolstoi has said of the hypothesis of the play is justified. Either view of the matter will serve one in immediate need of an hypothesis.

### Narrowing a topic Idea - organizing your Social Sciences

Hahy-poth-uh-sis, hi-, see more synonyms on m noun, plural hypotheses hahy-poth-uh-seez, hi- /haɪpɒθ əsiz, hɪ-/. A proposition, or set of propositions, set forth as an explanation for the occurrence of some business specified group of phenomena, either asserted merely as a provisional conjecture to guide investigation (working hypothesis) or accepted as highly probable in the light of established facts. A proposition assumed as a premise in an argument. The antecedent of a conditional proposition. A mere assumption or guess. Show More, origin of hypothesis, first recorded in 15901600, hypothesis is from the Greek word hypóthesis basis, supposition. Related formshypothesist, nouncounterhypothesis, noun, plural bhypothesis, noun, plural subhypotheses. Can be confusedhypothesis law theory (see synonym study at theory ) deduction extrapolation induction generalization hypothesis, synonym study. M Unabridged, based on the random house Unabridged Dictionary, random house, inc.

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4. These example sentences are selected automatically from various online news sources to reflect current usage of the word hypothesis. Hypothesis, testing - signifinance levels and rejecting or accepting the null hypothesis. It is also called the alternative hypothesis - because it is an alternative to the null hypothesis. Technically, the claim of the. For example, the claim that. Albert Einstein s theory of relativity, for example, consists of statements that were originally considered to be hypotheses.

5. Follow along with this worked out example of a hypothesis test so that you can understand the process and procedure. Hypotheses developers and testers usually hope that the null hypothesis is rejected and their. So heres a more immediate example of an alternative hypothesis. Printer-friendly version, example : Right-tailed test. An engineer measured the Brinell hardness of 25 pieces of ductile iron that were subcritically annealed.