(b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = (Round to two decimal places as needed. Use a comma to separate answers as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A research center claims that more than 32% of employees in a certain country have changed jobs in the past four years. In a random sample of 280 people from that country, 98 have changed jobs in the past four years. At \(\alpha = 0.01\), is there enough evidence to support the center's claim? Complete parts (a) through (b) below.

**a) State \(H_0\) and \(H_a\):**

Let \(p\) be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State \(H_0\) and \(H_a\).

Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed)

- A. \(H_0: p =\)
   
  \(H_a: p \neq\)

- B. \(H_0: p \leq\)
   
  \(H_a: p >\)

- C. \(H_0: p \neq\)
   
  \(H_a: p =\)

- D. \(\checkmark\) \(H_0: p \leq 0.32\)

  \(H_a: p > 0.32\)

- E. \(H_0: p <\)

  \(H_a: p \geq\)

- F. \(H_0: p >\)

  \(H_a: p \leq\)

**b) Find the critical value(s) and identify the rejection region(s):**

Identify the critical value(s) for this test.

\(z_0 =\)

(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:A research center claims that more than 32% of employees in a certain country have changed jobs in the past four years. In a random sample of 280 people from that country, 98 have changed jobs in the past four years. At \(\alpha = 0.01\), is there enough evidence to support the center's claim? Complete parts (a) through (b) below. **a) State \(H_0\) and \(H_a\):** Let \(p\) be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State \(H_0\) and \(H_a\). Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed) - A. \(H_0: p =\) \(H_a: p \neq\) - B. \(H_0: p \leq\) \(H_a: p >\) - C. \(H_0: p \neq\) \(H_a: p =\) - D. \(\checkmark\) \(H_0: p \leq 0.32\) \(H_a: p > 0.32\) - E. \(H_0: p <\) \(H_a: p \geq\) - F. \(H_0: p >\) \(H_a: p \leq\) **b) Find the critical value(s) and identify the rejection region(s):** Identify the critical value(s) for this test. \(z_0 =\) (Round to two decimal places as needed. Use a comma to separate answers as needed.)
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