a. Testing a Hypothesis: In Unit 5 you began to study the use of hypothesis testing to answer research questions. Rewrite your research question, null hypothesis, and alternative hypothesis from Unit 5 here. Make any needed improvements to create an appropriate hypothesis test that can be tested using the t or z test statistic to compare means. Write your hypothesis here. My hypothesis is whether there is a difference in the mean scores on the MCAT for men and women. Write your null hypothesis here.
H0: Men MCAT score = Women MCAT score
Write your research (alternative) hypothesis here
Ha: Men MCAT score ≠ Women MCAT score
What two means are you comparing? The two means I would be comparing are the mean MCAT score for men vs. the mean MCAT score for women.
Is your test one-tailed or two-tailed? My test is a two-tailed test because the alternative hypothesis is looking at where the MCAT score for men and women are not equal.
b. Samples and Populations: Given your research question and hypothesis above, what would your population of interest be? Describe your population.
My population of interest is: men and women between the ages of 22 and 30 that have taken the MCAT one time. Describe the population – what does it contain? The population contains men and women ages 22 to 30. To test your research hypothesis, describe the sample you might collect, including sampling method and size.
How big is the sample? The sample size is 30 people, 15 women and 15 men. How might you collect this sample (using what method)? The method could to collect this data would be to do a survey of medical students who have already taken the MCAT. Using your hypothesis test, sample size, and alpha as .05, use the appropriate table in the Appendix of the textbook to determine the cut-off critical value(s) for your rejection region. Since our degrees of freedom is n-1, we use 29, instead of 30 on our t-distribution table. Using degrees of freedom and our...
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