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Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30% Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p *0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 OC. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O D. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%

Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30% Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p *0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 OC. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O D. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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# Hypothesis Testing with Proportions: A Practical Example **Scenario:** Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. --- ## Steps to Conduct a Hypothesis Test ### 1. State the Hypotheses Identify the null and alternative hypotheses for this test. Choose the correct answer below: - **Option A:** \( H_0: p \neq 0.3 \) and \( H_1: p = 0.3 \) - **Option B:** \( H_0: p = 0.3 \) and \( H_1: p \neq 0.3 \) - **Option C:** \( H_0: p = 0.3 \) and \( H_1: p > 0.3 \) - **Option D:** \( H_0: p = 0.3 \) and \( H_1: p < 0.3 \) ### 2. Identify the Test Statistic The test statistic for this hypothesis test is ___. *(Round to two decimal places as needed.)* ### 3. Identify the P-Value The P-value for this hypothesis test is ___. *(Round to three decimal places as needed.)* ### 4. State the Conclusion Identify the conclusion for this hypothesis test. - **Option A:** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. - **Option B:** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. - **Option C:** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. - **Option D:** Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. --- By following these steps, you can conduct a hypothesis test to evaluate the validity of the candy company's claim about the proportion of blue candies.
Transcribed Image Text:# Hypothesis Testing with Proportions: A Practical Example **Scenario:** Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. --- ## Steps to Conduct a Hypothesis Test ### 1. State the Hypotheses Identify the null and alternative hypotheses for this test. Choose the correct answer below: - **Option A:** \( H_0: p \neq 0.3 \) and \( H_1: p = 0.3 \) - **Option B:** \( H_0: p = 0.3 \) and \( H_1: p \neq 0.3 \) - **Option C:** \( H_0: p = 0.3 \) and \( H_1: p > 0.3 \) - **Option D:** \( H_0: p = 0.3 \) and \( H_1: p < 0.3 \) ### 2. Identify the Test Statistic The test statistic for this hypothesis test is ___. *(Round to two decimal places as needed.)* ### 3. Identify the P-Value The P-value for this hypothesis test is ___. *(Round to three decimal places as needed.)* ### 4. State the Conclusion Identify the conclusion for this hypothesis test. - **Option A:** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. - **Option B:** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. - **Option C:** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. - **Option D:** Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30%. --- By following these steps, you can conduct a hypothesis test to evaluate the validity of the candy company's claim about the proportion of blue candies.
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