MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![**Hypothesis Testing: Example Problem**
In a random selection of 100 colored candies, it was found that 23% of them are blue. A candy company claims that the percentage of blue candies is equal to 21%. Using a significance level of 0.05, we will test this claim.
**Question: Identify the null and alternative hypotheses for this test. Choose the correct answer below.**
- **A.** \( H_0: p = 0.21 \)
\( H_1: p \neq 0.21 \) *(Correct Answer)*
- **B.** \( H_0: p = 0.21 \)
\( H_1: p > 0.21 \)
- **C.** \( H_0: p \neq 0.21 \)
\( H_1: p = 0.21 \)
- **D.** \( H_0: p = 0.21 \)
\( H_1: p < 0.21 \)
**Next Step: Identify the test statistic for this hypothesis test.**
The test statistic for this hypothesis test is [ ].
(Round to two decimal places as needed.)
**Explanation:**
This exercise involves hypothesis testing to verify a claim about the population proportion. The null hypothesis (\(H_0\)) assumes that the percentage of blue candies is 21% while the alternative hypothesis (\(H_1\)) tests whether this percentage is different from 21%. In this case, we choose option A, indicating a two-tailed test.](https://content.bartleby.com/qna-images/question/b556e622-78c6-48b0-b28c-ee91e5ff6758/081e7e69-c572-4ce0-ada4-ea2205f5acc5/z48nwe_processed.jpeg)
Transcribed Image Text:**Hypothesis Testing: Example Problem**
In a random selection of 100 colored candies, it was found that 23% of them are blue. A candy company claims that the percentage of blue candies is equal to 21%. Using a significance level of 0.05, we will test this claim.
**Question: Identify the null and alternative hypotheses for this test. Choose the correct answer below.**
- **A.** \( H_0: p = 0.21 \)
\( H_1: p \neq 0.21 \) *(Correct Answer)*
- **B.** \( H_0: p = 0.21 \)
\( H_1: p > 0.21 \)
- **C.** \( H_0: p \neq 0.21 \)
\( H_1: p = 0.21 \)
- **D.** \( H_0: p = 0.21 \)
\( H_1: p < 0.21 \)
**Next Step: Identify the test statistic for this hypothesis test.**
The test statistic for this hypothesis test is [ ].
(Round to two decimal places as needed.)
**Explanation:**
This exercise involves hypothesis testing to verify a claim about the population proportion. The null hypothesis (\(H_0\)) assumes that the percentage of blue candies is 21% while the alternative hypothesis (\(H_1\)) tests whether this percentage is different from 21%. In this case, we choose option A, indicating a two-tailed test.
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