Question

Market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. At Supermarket X, a new product was placed on the top shelf, and at Supermarket Y, the product was placed one shelf below the top shelf. To observe buying habits, the researchers selected a random sample of 364 shoppers at X and another random sample of 327 shoppers at Y. Of the selected shoppers at X, 15 bought the product, and of the selected shoppers at Y, 19 bought the product. Which of the following is the most appropriate method for analyzing the results?
a. A two-sample z-test for a difference in sample proportions.
b. A two-sample z-test for a difference in population proportions
c. A one-sample z-test for a sample proportion
d. A one-sample z-test for a population proportion
e. A one-sample z-test for a difference in sample proportions

Answer 1

Answer:

a. A two-sample z-test for a difference in sample proportions

Step-by-step explanation:

We are told that there are two supermarkets in the research named X and Y.

That a random number of shoppers were selected in each supermarket.

Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.

Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.

In addition, the position of the product was different in both supermarkets.

Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.