Assignment:
Q1. In city D, 141 of the 300 randomly selected customers were aware of product; whereas in city O, 125 of 250 randomly selected consumers were aware of the product. Based on these data, the 95% margin of error is .084 or 8.4%.
a. Form the 95% confidence interval of the difference in the two population proportions.
b. The alternative hypothesis is that there is a difference in the effectiveness of the two types of advertising campaigns; that is the levels of effectiveness are not equal. Based on these results, would you recommend or fail to reject the null hypothesis? Why
Q2. Nike administers an "aptitude test for production managers" at one of its productioil facilities to aid in the selectioil of new production manager trainees. Prior experience suggests 40% of all applicaiants for production management trainee positions would be successful if they were hired. Furthennore, past experience with the aptitude test indicates that 80% of applicants who turn out to be successful production managers pass the test and 90% of applicaicants who turn out not to be successful production managers fail the test. If an applicant passes the test, what is the probability that the applicant will succeed in a production management position?
Q3. As a market researcher for Nike, you have distributed a questionnaire asking companies to indicate whether they would be receptive to a Nike sales representative coming to their business. Of the 250 responses you received, 100 indicated they would be receptive, while 150 indicated they would not be receptive. Calculate the 95% confidence interval for the proportion of businesses that would be receptive to having a Nike sales representative come to their business.