If the null hypothesis is not rejected at the 5% level of significance, it Select one: O a. may be rejected or not rejected at the 1% level. O b. will always be rejected at the 1% level O C. will also not be rejected at the 1% level. O d. will sometimes be rejected at the 1% level.
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A: Solution
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- Suppose that in a random selection of 100 colored candies, 29% 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. OA. Ho: P 0.28 H₁ p=0.28 OB. Ho p=0,28 H₁ p0.28 O D. Ho p=0.28 H₁ p 0.28 Identify the test statistic for this hypothesis test hAre freshmen psychology majors less likely to change their major before they graduate compared to freshmen business majors? 355 of the 641 freshmen psychology majors from a recent study changed their major before they graduated and 404 of the 674 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer H1: Select an answer Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (Please enter a decimal) b. The test statistic ? C c. The p-value = d. The p-value is ? Q e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) > Next Question (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.05, so there is statistically…b. Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test.
- Suppose that in random selection of 100 colored candies, 20% 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. Choose the correct answer below. OA. Ho: P# 0.26 H₁: p= 0.26 B. Ho: p=0.26 H₁:p # 0.26 OC. Ho: p= 0.26 H₁: p > 0.26 O D. Ho: p= 0.26 H₁: p<0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) ←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 30%. 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. Upper H 0: pequals0.3 Upper H 1: pgreater than0.3 B. Upper H 0: pequals0.3 Upper H 1: pnot equals0.3 C. Upper H 0: pequals0.3 Upper H 1: pless than0.3 D. Upper H 0: pnot equals0.3 Upper H 1: pequals0.3 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. Fail to reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is…Suppose that in a random selection of 100 colored candies, 25% 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. Choose the correct answer below. O A. Ho: p=0.26 H₁: p0.26 O C. Ho: p=0.26 H₁: p=0.26 O D. Ho: p=0.26 H₁: p=0.26 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. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% C. Fail to reject Hỏ. There is…
- If you use a 0.03 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 650 if you use the Z test? Which of the following decision rules is correct? A. Reject H0 if −1.88<ZSTAT<+1.88. B. Reject H0 if ZSTAT<−1.88 or ZSTAT>+1.88. C. Reject H0 if ZSTAT<−2.17 or ZSTAT>+2.17. D. Reject H0 if −2.17<ZSTAT<+2.17.A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level.a) The null and alternative hypothesis would be: �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010<�2011 �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010<�2011 b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. There is sufficient evidence to support the claim that the…Suppose that in a random selection of 100 colored candies, 24% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. H,: p>0.29 OC. H, p=0.29 H, p#0.29 O D. Ho p+0.29 H, p=0.29 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 not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject H. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to…
- Suppose that in a random selection of 100 colored candies, 20% 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. Choose the correct answer below. O A. Ho: p +0.26 H₁: p=0.26 O B. Ho: p=0.26 H₁: p=0.26 O C. Ho: p = 0.26 H₁: p>0.26 O D. Ho: p=0.26 H₁: p<0.26Suppose 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 30%. 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=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 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. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…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 20%. Use a 0.10 significance level to test that claim. H, p#0.2 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)