A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.56 with a standard deviation of 0.19. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. Use a 0.05 significance level. C State the null and alternative hypotheses. O A. Ho: μ=0.56 OB. Ho: μ = 0.56 Hg:μ <0.56 H₂: μ> 0.56 O C. Ho: μ*0.56 O D. Ho: μ = 0.56 Ha: μ0.56 H₂:μ=0.56 Find the z-score. Z= (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to four decimal places as needed.) State the conclusion. O A. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. O B. The P-value is greater than the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers

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### Hypothesis Testing: Compulsive Buyers Questionnaire Score

A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.56 with a standard deviation of 0.19. We will conduct a hypothesis test to determine if the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. The significance level for the test is 0.05.

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#### State the null and alternative hypotheses.

Choose the correct set of hypotheses:

**A.**
- \( H_0 \): \( \mu = 0.56 \)
- \( H_a \): \( \mu > 0.56 \)

**B.**
- \( H_0 \): \( \mu = 0.56 \)
- \( H_a \): \( \mu < 0.56 \)

**C.**
- \( H_0 \): \( \mu \neq 0.56 \)
- \( H_a \): \( \mu = 0.56 \)

**D.**
- \( H_0 \): \( \mu = 0.56 \)
- \( H_a \): \( \mu \neq 0.56 \)

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#### Find the z-score.

Calculate the z-score and round to two decimal places:

\[ z = \_\_\_\_ \]

---

#### Find the P-value.

Determine the P-value and round to four decimal places:

\[ \text{The P-value is } \_\_\_\_ \]

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#### State the conclusion.

Based on the P-value, choose the correct conclusion:

**A.**
- The P-value is less than or equal to the significance level.
- There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population.

**B.**
- The P-value is greater than the significance level.
- There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population.

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This example guides you through conducting a hypothesis test for a mean, interpreting results, and making conclusions based on statistical evidence.
Transcribed Image Text:### Hypothesis Testing: Compulsive Buyers Questionnaire Score A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.56 with a standard deviation of 0.19. We will conduct a hypothesis test to determine if the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. The significance level for the test is 0.05. --- #### State the null and alternative hypotheses. Choose the correct set of hypotheses: **A.** - \( H_0 \): \( \mu = 0.56 \) - \( H_a \): \( \mu > 0.56 \) **B.** - \( H_0 \): \( \mu = 0.56 \) - \( H_a \): \( \mu < 0.56 \) **C.** - \( H_0 \): \( \mu \neq 0.56 \) - \( H_a \): \( \mu = 0.56 \) **D.** - \( H_0 \): \( \mu = 0.56 \) - \( H_a \): \( \mu \neq 0.56 \) --- #### Find the z-score. Calculate the z-score and round to two decimal places: \[ z = \_\_\_\_ \] --- #### Find the P-value. Determine the P-value and round to four decimal places: \[ \text{The P-value is } \_\_\_\_ \] --- #### State the conclusion. Based on the P-value, choose the correct conclusion: **A.** - The P-value is less than or equal to the significance level. - There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. **B.** - The P-value is greater than the significance level. - There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. --- This example guides you through conducting a hypothesis test for a mean, interpreting results, and making conclusions based on statistical evidence.
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