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 11% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers. (a) Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. H0: p ≤ 0.11 Ha: p > 0.11 H0: p < 0.11 Ha: p ≥ 0.11 H0: p > 0.11 Ha: p ≤ 0.11 H0: p = 0.11 Ha: p ≠ 0.11 H0: p ≥ 0.11 Ha: p < 0.11 (b) The file Eagle contains the sample data. 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 Develop a point estimate of the population proportion. (c) Use α = 0.05 to conduct your hypothesis test. Should Eagle go national with the promotion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =
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 11% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers. (a) Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. H0: p ≤ 0.11 Ha: p > 0.11 H0: p < 0.11 Ha: p ≥ 0.11 H0: p > 0.11 Ha: p ≤ 0.11 H0: p = 0.11 Ha: p ≠ 0.11 H0: p ≥ 0.11 Ha: p < 0.11 (b) The file Eagle contains the sample data. 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 Develop a point estimate of the population proportion. (c) Use α = 0.05 to conduct your hypothesis test. Should Eagle go national with the promotion? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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 11% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers.
(a)
Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national.
H0: p ≤ 0.11
Ha: p > 0.11
H0: p < 0.11
Ha: p ≥ 0.11
H0: p > 0.11
Ha: p ≤ 0.11
H0: p = 0.11
Ha: p ≠ 0.11
H0: p ≥ 0.11
Ha: p < 0.11
(b)
The file Eagle contains the sample data.
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 |
Develop a point estimate of the population proportion.
(c)
Use
α = 0.05
to conduct your hypothesis test. Should Eagle go national with the promotion?Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
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