MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 27%. Use a 0.10 significance level to test that claim.
**Identify the null and alternative hypotheses for this test. Choose the correct answer below.**
- **A.** \( H_0: p = 0.27 \)
\( H_1: p > 0.27 \)
- **B.** \( H_0: p = 0.27 \)
\( H_1: p \neq 0.27 \)
- **C.** \( H_0: p = 0.27 \)
\( H_1: p < 0.27 \)
- **D.** \( H_0: p \neq 0.27 \)
\( H_1: p = 0.27 \)
**Identify the test statistic for this hypothesis test.**
The test statistic for this hypothesis test is \[ \underline{\hspace{3cm}} \] (Round to two decimal places as needed.)
**Identify the P-value for this hypothesis test.**
The P-value for this hypothesis test is \[ \underline{\hspace{3cm}} \] (Round to three decimal places as needed.)
**Identify the conclusion for this hypothesis test.**
- **A.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27%
- **B.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27%
- **C.** 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 27%
- **D.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27%](https://content.bartleby.com/qna-images/question/81b0e6b6-ec7a-4eb0-91f9-72fff94e773d/4c2c8284-18f6-4566-bb54-7d54a7cfca5c/nk6tds7_processed.jpeg)
Transcribed Image Text:Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 27%. Use a 0.10 significance level to test that claim.
**Identify the null and alternative hypotheses for this test. Choose the correct answer below.**
- **A.** \( H_0: p = 0.27 \)
\( H_1: p > 0.27 \)
- **B.** \( H_0: p = 0.27 \)
\( H_1: p \neq 0.27 \)
- **C.** \( H_0: p = 0.27 \)
\( H_1: p < 0.27 \)
- **D.** \( H_0: p \neq 0.27 \)
\( H_1: p = 0.27 \)
**Identify the test statistic for this hypothesis test.**
The test statistic for this hypothesis test is \[ \underline{\hspace{3cm}} \] (Round to two decimal places as needed.)
**Identify the P-value for this hypothesis test.**
The P-value for this hypothesis test is \[ \underline{\hspace{3cm}} \] (Round to three decimal places as needed.)
**Identify the conclusion for this hypothesis test.**
- **A.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27%
- **B.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27%
- **C.** 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 27%
- **D.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27%
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