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- In performing a hypothesis T-test, the p-value was 0.00046 and the significance level was 5%. What is the conclusion? Is it a,b,or c? a. Reject the null hypothesis and accept the alternate hypothesis b. Accept both the null hypothesis and alternate hypothesis c. Fail to reject the null hypothesisIs there a significant difference in the unemployment rates among Hispanic and white adults in the state of Texas? Based on data collected by the Texas Workforce Commission, 4.6% of 640 randomly selected Hispanic adults are unemployed while 2.8% of 780 randomly selected white adults are unemployed. Does this data provide statistically significant evidence that there is a difference in the unemployment rates between the two groups? a) State the null hypothesis (H0) and the alternative hypothesis (Ha ) for the significance test and the conditions b) assume the conditions are satisfied, identify the test statistic (z or t?) to be used, and show the formula for the test statistic, and enter the appropriate values in the formula. (don’t calculate the test statistic here.) c) Assume that the standard error of the differences in proportions is SE = 0.00995. Using this SE, calculate the value of the test statistic (which you set up in part (b) and find the p-value d) Using a significance…A university claims that their employment rate directly after graduation is 70%. In a sample of 300 graduates, 231 found to have gained employment directly after graduation. Test the claim that the university's employment rate after graduation is larger than 70% at the 0.005 significance level.The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 The test is: right-tailed two-tailed left-tailed The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
- A researcher finds that among 1000 people who said they attend a religious service at least once a week, 35 stopped to help a person with car trouble. Among 1200 people interviewed who had not attended a religious service at least once a month, 24 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different. Find each: a) Set up (including Null and Alternative Hypothesis) b) Test Statistic c) P-value d) Conclusion (reject or accept H0).AND THE P VALUE FOR THE TEST HYPOTHESISThe p-value for a hypothesis test turns out to be 0.00694. At a 9% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
- The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division. Eastern Western 9 9 3 8 4 7 3 6 4 5 4 3 Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level.a) The null and alternative hypothesis would be: �0:��=���1:��>�� �0:��=���1:��≠�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��<�� �0:��=���1:��≠�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p =The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division. Eastern Western 9 9 3 8 4 7 3 6 4 5 4 3 Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level.a) The null and alternative hypothesis would be: �0:��=���1:��>�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��≠�� �0:��=���1:��<�� �0:��=���1:��≠�� 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 sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. There is not sufficient evidence…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. Passed Failed White candidates: 20 13 Minority candidates: 11 22 (a) Determine the null and alternative hypotheses. A. H0: A white candidate is more likely to pass the test than a minority candidate. H1: A white candidate is not more likely to pass the test than a minority candidate. B. H0: 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. C. H0: White and minority candidates have the same chance of passing the test. H1: White and minority candidates do not have the same chance of passing the test. D. H0: A white candidate is not more likely to pass the test than a minority candidate. H1: A white candidate is more likely to…
- When is a researcher at risk of making a type 2 error? whenever H0 is rejected whenever H1 is rejected whenever H0 fails to reject the risk of a type 2 is independent of the decision from a hypothesis testIf the null hypothesis is rejected in ANOVA, you can use which Test to see where the difference in the means is found. A) Kruskal Wallis Test B) Sign Test C) Scheffé or Tukey Test D) t Test E) Z Test