Assume that a population standard deviation of 12 is a reasonable assumption for both retailers. Conduct the hypothesis test and report the p-value. At a .05 level of significance what is your conclusion?

1)
Read the following case and test the hypothesis:
Sample satisfaction scores about the two retailers by the customers are shown below. In the report, 100 means the respondent is completely satisfied. Assume that a population standard deviation of 12 is a reasonable assumption for both retailers. Conduct the hypothesis test and report the p-value. At a .05 level of significance what is your conclusion?
Retailer A
Retailer B
Sample size = 25
Sample size = 30
Sample mean = 79
Sample mean = 71

2)
The Harris Poll reported that professional football is the favorite sport at 33% of Americans followed by baseball at 15%, men’s college football at 10%, auto racing at 6%, men’s professional basketball at 5%, and ice hockey at 5%, with other sports at 26%. Consider a survey in which 344 college undergraduates were asked to identify their favorite sport produced the following results:

Professional Football
Baseball
Men’s College Football
Auto Racing
Men’s Professional Basketball
Ice Hockey
Other Sports
111
39
46
14
6
20
108

Do college undergraduate students differ from the general public with regard to their favorite sports? Use α =.05