Question

Part I. All questions are required from this section. 1. Juan is doing research on a power pose (a pose that makes someone feel more powerful) can affect their chances of getting a second interview. He asks 125 students to sit in a slouch position before doing a mock job interview and 150 students to sit with their shoulders back (power position) before doing the mock job interview. Of the 125 studen asked to sit in the slouched position, 30 were selected for a second interview. Of the 150 students asked to sit in the power pose position, 50 were selected for the second interview. Use the p-value approach and a-0.05 to test the hypothesis that way you sit before an interview does not matter. What should Juan advise students to do before a job interview, if anything. 2. The percentage of Asian voters who turned out in the 2008 elections was 45%. In the 2016 elections, of a sample of 1 100 Asian voters, 49.3% turned out. Using a 90% confidence interval, test the hypothesis that the proportion of Asian voters who turned out to vote is the same for 2008 and 2016. 3. The Center for Disease control advises that adults exercise 4 hours every week on average. Emily is interested in knowing whether students exercise about the recommended amount. She surveys a random sample of 31 CSI students and finds that they exercise 3.5 hours per week on average with a standard deviation of 17 minutes. Using a t-test and α=1%, are students different the general adult population?

Answer 1

1:

Here we have x1-30, nı-125, pl = X1/n,=0.24 r2-50, n2-150,p, /n,-0.3333 Hypotheses are Level of significance α 0.05 Test is two tailed The pooled proportion is (30+50)/(125+150)-0.2909 The standard error is: p(l-p) 0.055 i ni Test Statistics: SE Critical value: CV = 1.96 Rejection Region: If z < - 1.96 or z > 1.96, Reject HO Decision: Since test statistics does not lie in rejection region so we fail to reject the null hypothesis P-value-0.0891 Decision: Since p-value is not less than level of significance so we fail to reject the null hypothesis Excel function for critical value NORMSINV(1-(0.05/2)) Excel function for p-value =2*(1-NORMSDIST(17)

Conclusion: We can conclude that way you sit before an interview does not matter.