Sketch the standard Normal curve for the Z test statistic and mark off areas und

Question

Sketch the standard Normal curve for the Z test statistic and mark off areas under the curve to show why a value of z that is statically significant at the 1% level in a one sided test is always statistically significant at the 5% level/If z is statistically significant at the 5% level, what can you say about its significance at the 1% level? The wrong alternative. A graduate student is comparing final-exam test scores of male and female students in an introductory physics class. She starts with no expectations as to which sex will score more highly. After seeing that men did better than women on the first quiz, she tests a one-sided alternative about the mean final-exam scores, H_0: mu_M = mu_F H_a: mu_M > mu_F She finds z = 1.9 with one-sided P-value P = 0.0287. (a) Explain why she should have used the two-sided alternative hypothesis. (b) What is the correct P-value for z = 1.9? The wrong P. The report of a study of seat belt use by drivers says, "Hispanic drivers were not statistically significantly more likely than White/non-Hispanic drivers to overreport safety belt use (27.4 vs. 21.1%, respectively: z = 1.33, P > 1.0)."^10 How do you know that the P-value given is incorrect. What is the correct one-sided P-value for test statistic z = 1.33?

Explanation / Answer

17.38)

Since the main is to see if there is any difference in score of Male and Female

we should have used two-sided alternate hypothesis

b) for 2-sided test

p-value = 2 P(Z > 1.9) = 2 * 0.0287 = 0.0574

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