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. O A. Ho p= 0.27 H p>0.27 O B. Ho p=0.27 H p#0.27 O C. Ho p=0.27 H p<0.27 O D. Ho p+0.27 H p=0.27 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. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27% O B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27% O C. Fail to reject Ho. There is not sufficient evidence to warant rejection of the claim that the percentage of blue candles is egual to 27% O D. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 27% of

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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%
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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