Question

In marketing, response modeling is a method for identifying customers most likely to respond to an advertisement. Suppose that in past campaigns 68.4% of customers identified as likely respondents responded to a nationwide direct marketing campaign. After making improvements to their model, a team of marketing analysts hoped that the proportion of customers identified as likely respondents who responded to a new campaign would increase. The analysts selected a random sample of 1500 customers and found that 1059 responded to the marketing campaign. The marketing analysts want to use a one‑sample ‑test to see if the proportion of customers who responded to the advertising campaign, , has increased since they updated their model.

Determine the P-Value for this test. Give your answer precise to at least three decimal places.

Answer 1

Date: solutions Given that n=1500 x=1059 8 = x = 1059 -0.706 1500 Po=68.4 % = 0.684 Houp = 0.684 Haip > 0.684 This is right -tailed test Test statistic, 1 z = PPO Ipol l-pol 0.706 -0.684 10.68411-0.684 1500 z 31.833 The test statistic is 1.833 P-value = 0.0334