If a hypothesis is rejected at the 0.025 level of significance, it may or may not be rejected at the 0.01 level. must be rejected at any level. must be rejected at the 0.01 level. must not be rejected at the 0.01 level
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- When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. A. The chance that the null hypothesis is true changes from 0.10 to 0.05. B. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). C. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis). D. It becomes easier to prove that the null hypothesis is true. E. The chance of committing a Type l error changes from 0.10 to 0.05. F. The chance of committing a Type Il error changes from 0.10 to 0.05. G. It becomes harder to prove that the null hypothesis is true.The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a = 0.05, and (c) a = 0.10 P=0.0067 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? OA. Fail to reject Ho because the P-value, 0.0067, is greater than a = 0.01. OB. Reject Ho because the P-value, 0.0067, is greater than a = 0.01. OC. Fail to reject Ho because the P-value, 0.0067, is less than a = 0.01. OD. Reject Ho because the P-value, 0.0067, is less than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? OA. Fail to reject Ho because the P-value, 0.0067, is greater than a = 0.05. OB. Reject Ho because the P-value, 0.0067, is greater than a = 0.05. OC. Fail to reject Ho because the P-value, 0.0067, is less than a = 0.05. OD. Reject Ho because the P-value, 0.0067, is less than a = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance?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 28%. Use a 0.05 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: p>0.28 N S an example Get more help. C. Ho: p=0.28 H₁: p*0.28 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) D nd X H D. Ho: p=0.28 H₁: p ; { + [ I option = Check answer ? Show All F12 } 11 A 1 1 X deles
- Q4. Which of these statements are correct for a hypothesis test: I. The Significance Level is the Pr(Rejecting a correct Null). II. Falsely Not Rejecting the Null is a Type II error. Pr(Тype II error) %3D1- Pr(Туpe I error). III. A. I. & II. B. II. & III. C. I., II. & III. D. All incorrect. O A. A В. В С. С O D. DIf a hypothesis is rejected at the 1% level of significance, it а. will always be rejected at the 5% level O b. may be rejected or, may be accepted at the 5% level O c. will always be accepted at the 5% level O d. NoneSuppose 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=
- Perform the test of hypothesis on the following scenarios. A brand of powdered milk is advertised as having a net weight of 250 grams. A curious consumer obtained the net weight of 10 randomly selected cans. The values obtained are 256, 248, 242, 245, 246, 248, 250, 255, 243, and 249 grams. Is there reason to believe that the average net weight of the powdered milk cans is less than 250 grams at 10% level of significance? Assume the net weight is normally distributed with unknown population variance. Note: pls follow the given steps in the photo attachedp5wrong 0.0323 1.848Passed Failed O White 15 17 Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. candidates Minority candidates 10 25 Determine the null and alternative hypotheses. O A. Ho: A white candidate is more likely to pass the test than a minority candidate. H,: A white candidate is not more likely to pass the test than a minority candidate. O B. Ho: White and minority candidates do not have the same chance of passing the test. H1: White and minority candidates have the same chance of passing the test. OC. Ho: White and minority candidates have the same chance of passing the test. H,: White and minority candidates do not have the same chance of passing the test. O D. Ho: A white candidate is not more likely to pass the test than a minority candidate. H1: A white candidate is more likely to pass the test than a minority candidate. Determine the…
- The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0158 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0158, is greater than a = 0.01. O B. Fail to reject H, because the P-value, 0.0158, is greater than a = 0.01. O C. Fail to reject Ho because the P-value, 0.0158, is less than a = 0.01. O D. Reject Ho because the P-value, 0.0158, is less than g = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance?If a hypothesis is NOT rejected at the 0.05 significance (0.95 confidence) level, Group of answer choices it must be rejected at the 0.01 significance (0.99 confidence) level. it must be rejected at the 0.10 significance (0.90 confidence) level. it may be rejected at the 0.01 significance (0.99 confidence) level. it will not be rejected at the 0.01 significance (0.99 confidence) level.The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) α = 0.01, (b) α = 0.05, and (c) α = 0.10. P = 0.0176 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? A. Reject Ho because the P-value, 0.0176, is less than α = 0.01. B. Reject Ho because the P-value, 0.0176, is greater than α = 0.01. C. Fail to reject Ho because the P-value, 0.0176, is greater than α = 0.01. D. Fail to reject Ho because the P-value, 0.0176, is less than α = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? A. Fail to reject Ho because the P-value, 0.0176, is less than α = 0.05. B. Reject Ho because the P-value, 0.0176, is greater than α = 0.05. C. Reject Ho because the P-value, 0.0176, is less than α = 0.05. D. Fail to reject Ho because the P-value, 0.0176, is greater than α = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? A. Fail to reject Ho because the…