Question

For a large supermarket chain in a particulate a women's groue dained a female employees were passed over for management training in favor of their male colleagues. The company denied is dan, saying picked the employees from the ele pool at random to receive this training Side, the large pool of more than 1000 eligible employees who can be tapped for management training 48% female and 58% male. Since this program began, 23 de 46 cmployees chosen for management training were male and 16 were formate Complete parts a through Click the icon to view the rest of using technology (Type an integer or decimal. Do not round) c. The table given in the problem shows of using technology to do a sample way. Explain why the large-sample notified. Choose the correct answer below O A The large-sangle analysis is justified because the preced successes and failure we both at the under OB. The large-sangle analysis is justified because the second coses and failures we both no more than to under Ho d. To what ateral ve hypothesis does the Prime in the hole refer? Use a to find the Presignificance test you spected in part, and interprett To what temaliverypothesis does the value in the refer? Type an Integer or a doma Dorot round) Use it to find the be for the ignificance test you specified in portband interpret Select the corect choice the answer box to complete your choice (Round to the decimal places as needed) O A The the probability that the test statistic equals the observed value or a value even more extreme Technology Output OB. The in the probability that the proportion of female trainees is greater than 0.45 OC The is the probably the proportion of female trainees is equal to 0.45 Test of p0.45 va 046 OD Thes is the probably that the proportion of female ass less than 0.45 Sample p95% CI 16 0.356556 10.214.0.495) What decision would you make for 0.05 lance level? Using the normal approximation X 45 Z-Value -1 27 P.Value 0203 Print Done O A There is a water proportion of female Vines than would be expected based on the sigble pool On There is a free proportion of female tries that would be expected based on the elg ble pool OC. There is not a tres proportion of female tries that would be expected based on the eligible pool OD. There is a greater proportion of female tries than would be expected based on the little pool

Answer 1

a) A. p = probability of company to select female employee

Claim:

Ha : p ≠ 0.45

A. The company's claim of a lack of gender bias is a "no effect" hypothesis because they predict that the proportion of females chosen for management training is the same as in the eligible pool.

b)

Null and Alternative hypothesis:  

Ho : p = 0.45

Ha : p ≠ 0.45

c)

A. The large-sample analysis is justified because the expected successes and failures are both at least fifteen under Ho.

d)

Ha : p ≠ 0.45

A. The P-value is 0.203. It is the probability that the test statistic equals the observed value or a value even more extreme.

e)

C. There is not a different proportion of females trainees than would be expected based on the eligible pool.