Suppose that in a random selection of 100 colored candies, 30% of them are blue. The candy company claims that the percentage of blue candies is equal to 23%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p#0.23 H1: p = 0.23 ОВ. На р30.23 H1: p#0.23 OC. Ho: p= 0.23 Hi:p<0.23 O D. Ho: p=0.23 H: p>0.23 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 23% O B. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23% OC. Reject Ho- There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23% O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%
Suppose that in a random selection of 100 colored candies, 30% of them are blue. The candy company claims that the percentage of blue candies is equal to 23%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p#0.23 H1: p = 0.23 ОВ. На р30.23 H1: p#0.23 OC. Ho: p= 0.23 Hi:p<0.23 O D. Ho: p=0.23 H: p>0.23 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 23% O B. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23% OC. Reject Ho- There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23% O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%
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 of Candy Colors
#### Scenario:
In a random selection of 100 colored candies, 30% of them are blue. A candy company claims that the percentage of blue candies is equal to 23%. We will use a 0.05 significance level to test this claim.
#### Step 1: Identify Hypotheses
Choose the correct null and alternative hypotheses from the options below:
- **A.** \( H_0: p \neq 0.23 \)
\( H_1: p = 0.23 \)
- **B.** \( H_0: p = 0.23 \)
\( H_1: p \neq 0.23 \)
- **C.** \( H_0: p = 0.23 \)
\( H_1: p < 0.23 \)
- **D.** \( H_0: p = 0.23 \)
\( H_1: p > 0.23 \)
*(Correct Choice)*
#### Step 2: Test Statistic
Identify the test statistic for this hypothesis test:
\[ \text{Test statistic} = \boxed{} \]
*(Round to two decimal places)*
#### Step 3: P-Value
Identify the P-value for this hypothesis test:
\[ \text{P-value} = \boxed{} \]
*(Round to three decimal places)*
#### Step 4: Conclusion
Based on the hypotheses, determine the conclusion:
- **A.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%.
- **B.** 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 23%.
- **C.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%.
- **D.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%.
By following these steps and selecting the appropriate options, you can determine if the evidence supports the candy company's claim.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea1b3038-96e6-41c5-a68e-86a6d322f782%2F852c3db2-828a-4f5f-9a83-5f1747ab4295%2Fk0iln3_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing of Candy Colors
#### Scenario:
In a random selection of 100 colored candies, 30% of them are blue. A candy company claims that the percentage of blue candies is equal to 23%. We will use a 0.05 significance level to test this claim.
#### Step 1: Identify Hypotheses
Choose the correct null and alternative hypotheses from the options below:
- **A.** \( H_0: p \neq 0.23 \)
\( H_1: p = 0.23 \)
- **B.** \( H_0: p = 0.23 \)
\( H_1: p \neq 0.23 \)
- **C.** \( H_0: p = 0.23 \)
\( H_1: p < 0.23 \)
- **D.** \( H_0: p = 0.23 \)
\( H_1: p > 0.23 \)
*(Correct Choice)*
#### Step 2: Test Statistic
Identify the test statistic for this hypothesis test:
\[ \text{Test statistic} = \boxed{} \]
*(Round to two decimal places)*
#### Step 3: P-Value
Identify the P-value for this hypothesis test:
\[ \text{P-value} = \boxed{} \]
*(Round to three decimal places)*
#### Step 4: Conclusion
Based on the hypotheses, determine the conclusion:
- **A.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%.
- **B.** 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 23%.
- **C.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%.
- **D.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 23%.
By following these steps and selecting the appropriate options, you can determine if the evidence supports the candy company's claim.
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