Question

Question 5 (1 point) Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 134 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 99% confidence interval of (0.3886 , 0.6114). You need to present these findings next departmental meeting. What is the correct interpretation of this interval? 1) We cannot determine the proper interpretation of this interval. 2) We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.3886 and 0.6114. 3) We are 99% confident that of the 134 respondents, between 0.3886 and 0.6114 responded positively to our new ad. 4) We are 99% confident that the proportion of those surveyed who respond positively to our new ad is between 0.3886 and 0.6114. W We are certain that 99% of Americans will respond positively to our new ad.

Answer 1

5 option (2): We are 99% confident that the proportion of Americans who will respond positively to our new ad is between 0.3886 and 0.6114 © option (4): (8.345, 9.883) n=14, X = 9.114, S = 1.3327 significance level, a = 1-0.95 = 0.05 degrees of freedom = n-1 = 14-1 = 13 critical value, tal = 2.1604 : The 95% confidence interval for the true average wait time = * I tala in 1.3327 = 9.114 € 2.1604 - J14 = (8.34451, 9.88348) ~ (8.345, 9.883) Ô option (1): The average number of hands played per hour is not significantly different from 178.3 ® Option (2): We are 951. confident that the average boot time of all computers with an HDD is greater than the average of all computers with an SSD.