Question

16 multiple choice 1 point state your conclusion to the following hypothesis test. consumer data reports that 50% of shoppers who enter a store on black friday end up making a purchase. in order to receive a bonus for their efforts, the marketing department of an electronics retailer must show that their stores have exceeded this proportion using a 5% significance level. the resulting hypothesis test resulted in a p - value of 0.07. assume that all conditions for testing have been met and choose the statement that contains the correct conclusion. there is not sufficient sample evidence, at the 5% significance level, to conclude that more than 50% of shoppers made a purchase. there is sufficient sample evidence, at the 5% significance level, to conclude that more than 50% of shoppers made a purchase. there is not sufficient sample evidence, at the 5% significance level, to conclude that 50% of shoppers made a purchase. there is sufficient sample evidence, at the 5% significance level, to conclude that less than 50% of shoppers made a purchase.

Explanation:

To determine the conclusion of the hypothesis test, we compare the p - value with the significance level ($\alpha = 0.05$). The p - value is 0.07. Since $0.07>0.05$, we fail to reject the null hypothesis. The null hypothesis in this case is that the proportion of shoppers who make a purchase is 50% (or less, depending on the alternative hypothesis), and the alternative hypothesis is that the proportion is more than 50%. Failing to reject the null hypothesis means that there is not sufficient sample evidence at the 5% significance level to conclude that more than 50% of shoppers made a purchase.

Answer:

There is not sufficient sample evidence, at the 5% significance level, to conclude that more than 50% of shoppers made a purchase.