Question
Dillard's Promotion: Dillard's is a national chain of stores specializing on clothing's and household utensils. The chain is considering launching a promotion of a new
Dillard's Promotion: Dillard's is a national chain of stores specializing on clothing's and household utensils. The chain is considering launching a promotion of a new women's outfit and would like to send out discount coupons to all the Dillard's card customers. This promotion will be considered a success if more than 10% of those receiving the coupons use them. Before going national with the discount, a sample of 100 Dillard's card customers who received the coupon were asked whether they used the coupon. The data below summarizes the results from the sample study.
No | No | No | No | No | No | No | No | No | Yes |
No | No | No | No | No | Yes | No | No | No | No |
No | No | No | No | No | No | No | Yes | No | Yes |
Yes | No | No | No | No | No | No | No | No | Yes |
No | No | Yes | No | No | No | No | No | No | No |
No | No | No | No | No | No | No | No | No | No |
Yes | No | No | Yes | No | No | No | No | No | No |
No | No | Yes | No | No | No | Yes | No | No | No |
No | No | No | No | Yes | No | No | No | No | No |
No | No | No | No | Yes | No | No | No | No | No |
a) (2) Find the estimate of the population proportion of those that used the coupon.
b) (2) Develop a 95% confidence level of the proportion of Dillard's customers that used the coupon.
c) (2) The management feels that the promotion will be successful if more than 10% of the customers use the coupon. Develop a hypothesis test that confirms the managementassertion that more than 10% of the customers who receive the promotion coupons will use them.
d) (2) Conduct an analysis of the hypothesis s and make a decision
e) (2) Draw a conclusion based on your test results.
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