The manager of a department store wants to determine the proportion of customers who use the store's credit card when making a purchase. What sample size should he select so that at 96% confidence the error will not be more than 10%?

a. 106.

b. 76.

c. 1.

d. There is not enough information given to determine the sample size.

Question

Jaydin Cline

Mathematics

13 October, 04:15

The manager of a department store wants to determine the proportion of customers who use the store's credit card when making a purchase. What sample size should he select so that at 96% confidence the error will not be more than 10%?

a. 106.

b. 76.

c. 1.

d. There is not enough information given to determine the sample size.

+3

Answers (1)

Know the Answer?

Denise · Answer 1

Step-by-step explanation:

There is no information about proportion estimate, so p = 0.50

Sample size formula is Z^2 * p (1 - p) / E^2

E - margin of error = 10%

Sample size = 2.0537^2 * 0.50 * 0.50 / 0.10^2

= 105.44

Sample size is approximately 106