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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Description: 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 th

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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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

H_a: p > 0.11

H₀: p < 0.11

H_a: p ≥ 0.11

H₀: p > 0.11

H_a: p ≤ 0.11

H₀: p = 0.11

H_a: p ≠ 0.11

H₀: p ≥ 0.11

H_a: 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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