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. Ho: P < 0.11 H:p20.11 Ho: P = 0.11 H: P = 0.11 Ho:p> 0.11 H: ps 0.11 Ho: P ≤ 0.11 H:p> 0.11 Ho: p2 0.11 H: P<0.11 (b) The file Eagle contains the sample data. Used Coupon? No No No Yes No No No No No No No No No No No No No No No No No No Yes No No No No No No No No No No No Yes No Yes No No No No No No No No No No No No No No Yes No No No No No No Yes No No No No No No No No Yes No No No No No Yes No T. 2 222 No No No Yes Yes No No 2 No

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### Statistical Analysis of Coupon Usage

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.

#### Hypothesis Development

(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.

Hypotheses:
- \( H_0 \): \( p < 0.11 \)
- \( H_0 \): \( p \geq 0.11 \)
- \( H_0 \): \( p = 0.11 \)
- \( H_0 \): \( p \neq 0.11 \)
- \(H_0\): \( p \leq 0.11 \)
- \( H_0 \): \( p = 0.11 \)
- \( H_0 \): \( p > 0.11 \)
- \( H_0 \): \( p \neq 0.11 \)
- \( H_0 \): \( p \leq 0.11 \)
- \( H_0 \): \( p > 0.11 \)

From these options, the correct hypotheses to test whether the population proportion is enough to go national should be:

- \( H_0: p \leq 0.11 \)
- \( H_0: p > 0.11 \)

(b) The file Eagle contains the sample data.

#### Sample Data

The table below shows the sample data from a file named "Eagle," indicating whether each of the 100 customers used the coupon:

| Used Coupon? |     |     |     |     |     |     |     |     |     |     |
|--------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| No           | No  | No  | No  | No  | No  | No  | No  | No  | No  | No  |
| No           | No  | No  | No  | No  | No  | No  | No  | No  | No  | No  |
| No           | No
Transcribed Image Text:### Statistical Analysis of Coupon Usage 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. #### Hypothesis Development (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. Hypotheses: - \( H_0 \): \( p < 0.11 \) - \( H_0 \): \( p \geq 0.11 \) - \( H_0 \): \( p = 0.11 \) - \( H_0 \): \( p \neq 0.11 \) - \(H_0\): \( p \leq 0.11 \) - \( H_0 \): \( p = 0.11 \) - \( H_0 \): \( p > 0.11 \) - \( H_0 \): \( p \neq 0.11 \) - \( H_0 \): \( p \leq 0.11 \) - \( H_0 \): \( p > 0.11 \) From these options, the correct hypotheses to test whether the population proportion is enough to go national should be: - \( H_0: p \leq 0.11 \) - \( H_0: p > 0.11 \) (b) The file Eagle contains the sample data. #### Sample Data The table below shows the sample data from a file named "Eagle," indicating whether each of the 100 customers used the coupon: | Used Coupon? | | | | | | | | | | | |--------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | No | No | No | No | No | No | No | No | No | No | No | | No | No | No | No | No | No | No | No | No | No | No | | No | No
### Hypothesis Testing on Eagle's Promotion Plan

#### Data Table:

|   |   |   |   |   |   |   |   |
|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|
| No | No | No | Yes | No | No | No | No |
| No | No | No | Yes | No | No | No | No |
| No | No | No | No  | No | No | No | No |
| No | No | No | No  | No | Yes | Yes | Yes |
| Yes | Yes | Yes | No | No | No | No | No |

Develop a point estimate of the population proportion:
\[ \__ \]

#### Hypothesis Test
Use \(\alpha = 0.05\) 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):**
\[ \text{p-value} = \__ \]

### Conclusion:
What is your conclusion?

- \( \square \) Reject \( H_0 \): There is insufficient evidence to conclude that Eagle should go national with the promotion.
- \( \square \) Reject \( H_0 \): There is sufficient evidence to conclude that Eagle should go national with the promotion.
- \( \square \) Do not reject \( H_0 \): There is sufficient evidence to conclude that Eagle should go national with the promotion.
- \( \square \) Do not reject \( H_0 \): There is insufficient evidence to conclude that Eagle should go national with the promotion.

[Need Help?](#)

### Description of Table:
The data table above represents responses (Yes or No) from a sample regarding a promotional plan by Eagle. Each entry indicates whether the respondent is in favor of (Yes) or against (No) the proposal.

### Instruction:
- Calculate the point estimate for the population proportion.
- Use the given \(\alpha\) value for conducting a hypothesis test.
- Determine the test statistic and p-value based on the collected data.
- Make a conclusion about the promotional plan based on the hypothesis test results and the p-value.
Transcribed Image Text:### Hypothesis Testing on Eagle's Promotion Plan #### Data Table: | | | | | | | | | |:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:| | No | No | No | Yes | No | No | No | No | | No | No | No | Yes | No | No | No | No | | No | No | No | No | No | No | No | No | | No | No | No | No | No | Yes | Yes | Yes | | Yes | Yes | Yes | No | No | No | No | No | Develop a point estimate of the population proportion: \[ \__ \] #### Hypothesis Test Use \(\alpha = 0.05\) 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):** \[ \text{p-value} = \__ \] ### Conclusion: What is your conclusion? - \( \square \) Reject \( H_0 \): There is insufficient evidence to conclude that Eagle should go national with the promotion. - \( \square \) Reject \( H_0 \): There is sufficient evidence to conclude that Eagle should go national with the promotion. - \( \square \) Do not reject \( H_0 \): There is sufficient evidence to conclude that Eagle should go national with the promotion. - \( \square \) Do not reject \( H_0 \): There is insufficient evidence to conclude that Eagle should go national with the promotion. [Need Help?](#) ### Description of Table: The data table above represents responses (Yes or No) from a sample regarding a promotional plan by Eagle. Each entry indicates whether the respondent is in favor of (Yes) or against (No) the proposal. ### Instruction: - Calculate the point estimate for the population proportion. - Use the given \(\alpha\) value for conducting a hypothesis test. - Determine the test statistic and p-value based on the collected data. - Make a conclusion about the promotional plan based on the hypothesis test results and the p-value.
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