These are the selections for the drop down boxes in parenthesis.  The hypothesis test will be (two-tailed, left-tailed, right-tailed) Reject the (alternative or null) hypothesis that the proportion of customers who have hair is (less than, not equal to, greater than, equal to) 0.93 in which case there is evidence (in support of, to reject) the claim that the proportion customers is greater than 0.93.

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These are the selections for the drop down boxes in parenthesis. 

The hypothesis test will be (two-tailed, left-tailed, right-tailed)

Reject the (alternative or null) hypothesis that the proportion of customers who have hair is (less than, not equal to, greater than, equal to) 0.93 in which case there is evidence (in support of, to reject) the claim that the proportion customers is greater than 0.93.

Do not reject the (alternative, null) hypothesis, in which case there is not enough evidence to (Support, reject) the claim that the proportion of customers who have hair is greater than 0.93.

### Hypothesis Testing for Proportion Greater than 0.93

In this exercise, we will state the null and alternative hypotheses for a hypothesis test, determine the type of test (left-tailed, right-tailed, or two-tailed), and clearly state the two possible conclusions that address the given claim regarding a product's effectiveness in preventing male pattern baldness.

**Scenario:**
An advertisement claims that their product prevents male pattern baldness and that the proportion of customers who have hair is greater than 0.93.

---

**Which of the following is the hypothesis test to be conducted?**

- **A.** \( H_0: p < 0.93 \)

  \( H_a: p = 0.93 \)

- **B.** \( H_0: p = 0.93 \)

  \( H_a: p < 0.93 \)

- **C.** \( H_0: p \neq 0.93 \)

  \( H_a: p = 0.93 \)

- **D.** \( H_0: p > 0.93 \)

  \( H_a: p = 0.93 \)

- **E.** \( H_0: p = 0.93 \)

  \( H_a: p > 0.93 \)

- **F.** \( H_0: p = 0.93 \)

  \( H_a: p \neq 0.93 \)

The correct hypothesis test will be:

\( H_0: p = 0.93 \)

\( H_a: p > 0.93 \)

This option is labeled as **E**.

---

**State clearly the two possible conclusions that address the given claim:**

1. **Reject the null hypothesis:**

   - **Conclusion:** Reject the null hypothesis that the proportion of customers who have hair is 0.93, in which case there is evidence **supporting** the claim that the proportion of customers is greater than 0.93.

2. **Do not reject the null hypothesis:**

   - **Conclusion:** Do not reject the null hypothesis, in which case there is not enough evidence to **support** the claim that the proportion of customers who have hair is greater than 0.93.
Transcribed Image Text:### Hypothesis Testing for Proportion Greater than 0.93 In this exercise, we will state the null and alternative hypotheses for a hypothesis test, determine the type of test (left-tailed, right-tailed, or two-tailed), and clearly state the two possible conclusions that address the given claim regarding a product's effectiveness in preventing male pattern baldness. **Scenario:** An advertisement claims that their product prevents male pattern baldness and that the proportion of customers who have hair is greater than 0.93. --- **Which of the following is the hypothesis test to be conducted?** - **A.** \( H_0: p < 0.93 \) \( H_a: p = 0.93 \) - **B.** \( H_0: p = 0.93 \) \( H_a: p < 0.93 \) - **C.** \( H_0: p \neq 0.93 \) \( H_a: p = 0.93 \) - **D.** \( H_0: p > 0.93 \) \( H_a: p = 0.93 \) - **E.** \( H_0: p = 0.93 \) \( H_a: p > 0.93 \) - **F.** \( H_0: p = 0.93 \) \( H_a: p \neq 0.93 \) The correct hypothesis test will be: \( H_0: p = 0.93 \) \( H_a: p > 0.93 \) This option is labeled as **E**. --- **State clearly the two possible conclusions that address the given claim:** 1. **Reject the null hypothesis:** - **Conclusion:** Reject the null hypothesis that the proportion of customers who have hair is 0.93, in which case there is evidence **supporting** the claim that the proportion of customers is greater than 0.93. 2. **Do not reject the null hypothesis:** - **Conclusion:** Do not reject the null hypothesis, in which case there is not enough evidence to **support** the claim that the proportion of customers who have hair is greater than 0.93.
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