Question
Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to
Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit 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 promotion, coupons were sent to a sample of 100 credit card customers. Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. Use =.05 to conduct your hypothesis test. Should Eagle go national with the promotion?
Used Coupon |
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 |
No |
No |
No |
No |
No |
No |
No |
No |
No |
Yes |
Yes |
No |
Yes |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
Yes |
No |
No |
No |
No |
Yes |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
No |
Yes |
No |
Yes |
Yes |
No |
No |
No |
No |
No |
No |
1. State the null and alternative hypotheses.
Ho:
Ha:
2. Is this a right-tailed, left-tailed or two-tailed hypothesis test?
3. Compute the following statistics
n | ||
n for yes | ||
n for no | ||
p-hat | ||
standard error |
hypothesized proportion | ||||
Test z | ||||
Critical z | ||||
p-value |
4. Do you reject or fail to reject the null hypothesis? Tell me how you know.
5.State your conclusion in the context of the problem.
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