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Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance a using the given sample statistics. Claim: p+0.22; a= 0.01; Sample statistics: p=0.19, n 100 State the null and alternative hypotheses. O A. Ho ps0.22 H p>0.22 O B. Ho: p20.22 H p<0.22 C. Ho p 0.22 H p 0.22 O D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical value(s) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. Clear all Check answer View an example Get more help - Help me solve this 47°F iQ OK earch

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance a using the given sample statistics. Claim: p+0.22; a= 0.01; Sample statistics: p=0.19, n 100 State the null and alternative hypotheses. O A. Ho ps0.22 H p>0.22 O B. Ho: p20.22 H p<0.22 C. Ho p 0.22 H p 0.22 O D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical value(s) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. Clear all Check answer View an example Get more help - Help me solve this 47°F iQ OK earch

A First Course in Probability (10th Edition)
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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**Title: Testing Claims About Population Proportions** **Introduction:** In this exercise, we aim to decide whether the normal sampling distribution can be used. If applicable, we'll test the claim about the population proportion \( p \) at the given level of significance \( \alpha \). **Given Parameters:** - Claim: \( p \neq 0.22 \) - Significance level: \( \alpha = 0.01 \) - Sample statistics: \( \hat{p} = 0.19 \) - Sample size: \( n = 100 \) **Task:** 1. **State the Null and Alternative Hypotheses:** - Option A: - \( H_0: p \leq 0.22 \) - \( H_a: p > 0.22 \) - Option B: - \( H_0: p \geq 0.22 \) - \( H_a: p < 0.22 \) - **Option C (Correct):** - \( H_0: p = 0.22 \) - \( H_a: p \neq 0.22 \) - Option D: - The test cannot be performed. 2. **Determine the Critical Value(s):** - Option A: - The critical value(s) is/are _______ (Round to two decimal places as needed. Use a comma to separate answers as needed.) - Option B: - The test cannot be performed. **Instructions:** - Select the correct answers and fill in the answer box if necessary. - Use the provided tools, such as "Help me solve this" or "View an example," for assistance. - Once complete, click "Check answer" to evaluate your responses. **Note:** This task requires an understanding of hypothesis testing, particularly testing a proportion, and the ability to compute critical values given a specific significance level.
Transcribed Image Text:**Title: Testing Claims About Population Proportions** **Introduction:** In this exercise, we aim to decide whether the normal sampling distribution can be used. If applicable, we'll test the claim about the population proportion \( p \) at the given level of significance \( \alpha \). **Given Parameters:** - Claim: \( p \neq 0.22 \) - Significance level: \( \alpha = 0.01 \) - Sample statistics: \( \hat{p} = 0.19 \) - Sample size: \( n = 100 \) **Task:** 1. **State the Null and Alternative Hypotheses:** - Option A: - \( H_0: p \leq 0.22 \) - \( H_a: p > 0.22 \) - Option B: - \( H_0: p \geq 0.22 \) - \( H_a: p < 0.22 \) - **Option C (Correct):** - \( H_0: p = 0.22 \) - \( H_a: p \neq 0.22 \) - Option D: - The test cannot be performed. 2. **Determine the Critical Value(s):** - Option A: - The critical value(s) is/are _______ (Round to two decimal places as needed. Use a comma to separate answers as needed.) - Option B: - The test cannot be performed. **Instructions:** - Select the correct answers and fill in the answer box if necessary. - Use the provided tools, such as "Help me solve this" or "View an example," for assistance. - Once complete, click "Check answer" to evaluate your responses. **Note:** This task requires an understanding of hypothesis testing, particularly testing a proportion, and the ability to compute critical values given a specific significance level.
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