**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.

given data, n=100blue candies of blue candies =p claim:p=0.21p^=0.23 α=0.05

Answered: Suppose that in a random selection of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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2. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). decision a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is for this test of hypothesis? your b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…
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 28%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p≠0.28 H1: p=0.28 B. H0: p=0.28 H1: p>0.28 C. H0: p=0.28 H1: p<0.28 D. H0: p=0.28 H1: p≠0.28 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is nothing. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28% B. Reject H0.…
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The table shows the number of households burglarized in a sample of households with dogs and in a sample of households without dogs. Assume that you plan to use a significance level of a=0.01 to test the claim that a smaller portion of households with pet dogs are burglarized? Household with dog household without dog Number of households in sample 206 140 Number of households burglarized 20 11
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The table to the right includes results from polygraph experiments. In each case, it was known if the subject lied or not, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truths and lies? State the null and the alternative hypotheses. Choose the correct answer below. O A. Ho: The row and column variables are independent. H₂: The row and column variables are dependent. OB. Ho: At least one of the values is different from the others. Ha: All values in the table are equal. OC. Ho: All values in the table are equal. Ha: At least one of the values is different from the others. Polygraph indicated that subject lied Polygraph indicated that subject did not lie O D. Ho: The row and column variables are dependent. H₂: The row and column variables are independent. Did the subject…
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