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 21%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. А. Но: р30.21 H1:p<0.21 В. Но: Р3D0.21 H4:p>0.21 С. Но: р#0.21 H1:p= 0.21 D. Ho: p= 0.21 H1:p#0.21
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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 28%. 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.H0:p=0.28 H1:p>0.28 B. H0:p≠0.28H1:p=0.28 C. H0:p=0.28H1:p<0.28 D.H0:p=0.28H1:p≠0.28 -Identify the test statistic for this hypothesis test. -Identify the P-value for this hypothesis test. -Identify the conclusion for this hypothesis test. A. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28% B. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28% C. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue…Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. 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=0.24 H1: p<0.24 B. H0: p=0.24 H1: p≠0.24 C. H0: p=0.24 H1: p>0.24 D. H0: p≠0.24 H1: p=A machine in a factory must be repaired if it produces more than 10% defectives in a day. A random sample of 100 produced items contains 15 defectives, and the supervisor says that the machine must be repaired. Given the aforementioned information and the hypotheses H0: p ≤ 0.1 and H1: p > 0.1, does the sample support the supervisor's decision at the 0.01 significance level?
- Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage of blue candies is equal to 28%. Use a 0.05 significance level to test that claim. A.dentify the null and alternative hypotheses for this test. B.Identify the test statistic for this hypothesis test. C.Identify the P-value for this hypothesis test. D.Identify the conclusion for this hypothesis test.(reject or fail to reject and why?)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 25%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test.A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decision
- Suppose that in a random selection of 100100 colored candies, 2323% of them are blue. The candy company claims that the percentage of blue candies is equal to 2222%. Use a 0.100.10 significance level to test that claim. What is the P-value for this hypothesis test is?Suppose that in a random selection of 100colored candies, 29% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Identify the test statistic for this hypothesis test. Identify the P-value for this hypothesis test. Identify the conclusion for this hypothesis test.A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 75% state they would support starting the school year earlier. The P-value for the test of the hypotheses, and , is 0.04. What is the correct conclusion given ? Because the P-value is less than , the school board should reject H0. Because the P-value is less than , the school board should fail to reject H0. Because the P-value is greater than , the school board should reject H0. Because the P-value is greater than , the school board should fail to reject H0.