A researcher wishes to see if there is a difference between men and women in the number of cases of mental disorders. She selects a sample of 30 males and 26 females and classifies them according to their mental disorder. The results are shown. At α = 0.10, can the researcher conclude that there is a difference in the types of disorders according to gender? Gender Anxiety Depression Schizophrenia Male 8 12 10 Female 12 9 5

Two researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…

A sample is obtained from a population with u = 100 and o = 20. Which of the following samples would produce the most extreme z-score? O A sample of n = 25 scores with M = 102 O A sample of n = 100 scores with M = 102 A sample ofn=25 scores with M = 104 A sample of n = 100 scores with M= 104

Assume the assumptions for the tests are met and conduct both the sign test and Wilcoxon Signed-Rank test. State your conclusion for the two tests (sign and Wilcoxon) in terms of the problems. If a new process for mining copper is to be put into a full-time operation, it must produce an average of more than 50 tons of ore per day. A 15-day trial period gave the results shown in the accompanying table. Is there significant evidence that on a typical day the mine produces more than 50 tons of ore? Test by using a = .05.

You wish to test the following claim (HaHa) at a significance level of α=0.10      Ho:p1=p2      Ha:p1≠p2You obtain 53.3% successes in a sample of size n1=771 from the first population. You obtain 55.8% successes in a sample of size n2=599n2=599 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the…

. It is known 35% of women with long hair have split ends. A hair stylist believes this proportion is smaller for her clients using her salon. A sample of 178 women with long hair using her salon, showed 33.96% have split ends. Is there enough evidence to support her claim at α = .03 (by hand)

Find the critical value F0 for a one-tailed test using α = 0.01, d.f.N = 3, and d.f.D = 20.

1,000 students at college level were graded according to their 1.Q. and ine Leconomic conditions of their homes. Use x? test to find out whether there is any association between economic condition at home and I.Q. Economic I.Q. Condition High Low Total Rich 460 140 600 Poor 240 160 400 Total 700 300 1000 [Given for v = 1, Xó.05 = 3.84.]

In a study of obesity the following results were obtained from samples of males and females between the ages of 20 and 75: n Males 150 Females 200 Number Overweight 21 48 Can we conclude from these data that in the sampled populations there is a difference in the proportions who are overweight? Let α = .05.