An education researcher claims that 62% of college students work year-round. In a random sample of 300 college students, 186 say they work year-round. At a =0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. O A. At most % of college students work year-round. B. 62 % of college students work year-round. O C. The percentage of college students who work year-round is not %. O D. At least % of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State Ho and H, Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OC. Ho: p2 H, p< OA. Ho p> O'B. Ho P< H ps H p2 Ho: p= 0.62 H, p# 0 62 O D. Ho pt O E. Ho ps Ha:p= H3 p> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical yalue(s) for this test. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Clear all Check answer Get more help - 743 PM View an example Help me solve this 40 11/4/2021 52'F O Type here to search 立

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Answer the question B
**Hypothesis Testing on College Students Working Year-Round**

An education researcher claims that 62% of college students work year-round. In a random sample of 300 college students, 186 say they work year-round. At a significance level of α = 0.05, is there enough evidence to reject the researcher’s claim? Complete parts (a) through (e) below.

**Question (a) - Statement of Hypotheses:**

Select the correct hypothesis from the options given:

A. \( H_0: p > \) [ ]
   \( H_a: p \leq \) [ ]

B. \( H_0: p \leq \) [ ]
   \( H_a: p > \) [ ]

C. \( H_0: p = 0.62 \) ✓
   \( H_a: p \neq 0.62 \)

D. \( H_0: p \neq \) [ ]
   \( H_a: p = \) [ ]

E. \( H_0: p \leq \) [ ]
   \( H_a: p > \) [ ]

**Question (b) - Critical Values and Rejection Regions:**

Identify the critical value(s) for this test. Use a significance level of α = 0.05.

**\( z_0 = \) [ ]**

**Note:** Ensure to round your answers to two decimal places as needed, using a comma to separate answers if necessary.

**Additional Resources:**

- **Help me solve this**: Provides step-by-step guidance on solving similar problems.
- **View an example**: Offers an example problem with a detailed solution.
- **Get more help**: Access additional resources for further assistance.

These questions and responses guide students on formulating hypotheses and critical value assessment for hypothesis testing.
Transcribed Image Text:**Hypothesis Testing on College Students Working Year-Round** An education researcher claims that 62% of college students work year-round. In a random sample of 300 college students, 186 say they work year-round. At a significance level of α = 0.05, is there enough evidence to reject the researcher’s claim? Complete parts (a) through (e) below. **Question (a) - Statement of Hypotheses:** Select the correct hypothesis from the options given: A. \( H_0: p > \) [ ] \( H_a: p \leq \) [ ] B. \( H_0: p \leq \) [ ] \( H_a: p > \) [ ] C. \( H_0: p = 0.62 \) ✓ \( H_a: p \neq 0.62 \) D. \( H_0: p \neq \) [ ] \( H_a: p = \) [ ] E. \( H_0: p \leq \) [ ] \( H_a: p > \) [ ] **Question (b) - Critical Values and Rejection Regions:** Identify the critical value(s) for this test. Use a significance level of α = 0.05. **\( z_0 = \) [ ]** **Note:** Ensure to round your answers to two decimal places as needed, using a comma to separate answers if necessary. **Additional Resources:** - **Help me solve this**: Provides step-by-step guidance on solving similar problems. - **View an example**: Offers an example problem with a detailed solution. - **Get more help**: Access additional resources for further assistance. These questions and responses guide students on formulating hypotheses and critical value assessment for hypothesis testing.
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