In a sample of 178 students at an Australian university that introduced the use of plagiarism-detection software in a number of courses, 54 students indicated a belief that such software unfairly targets students. Does this suggest that a majority of students at the university do not share this belief? Test appropriate hypotheses at level 0.05. (Let p be the proportion of students at this university who do not share this belief.) n USE SALT State the appropriate hypotheses. O Ho: p = 0.50 H: p > 0.50 Ho: p = 0.50 H: p + 0.50 O Ho: p = 0.50 H: p < 0.50 O Ho: p > 0.50 Hạ:p = 0.50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value =
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- In a recent study, researchers found that 31 out of 150 boys aged 7-13 were overweight or obese. On the basis of this study can we conclude that more than 15% of the boys aged 7-13 in the sampled population are overweight or obese? Use a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUSTshow your work to receive full credit. Partial credit is availableIn a program designed to help patients stop smoking, 195 patients were given sustained care, and 81.0% of them were no longer smoking after one month. Use a 0.01 significance level to test the claim that 80% of patients stop smoking when given sustained care Identify the null and alterative hypotheses for this test Choose the correct answer below.A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2774 occupants not wearing seat belts, 29 were killed. Among 7811 occupants wearing seat belts, 10 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ = P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? OB. Ho: P₁ P2 H₁: P₁ P₂ the significance level of a = 0.05, so O E. Ho: P₁ SP2 H₁: P₁ P2 The P-value is wearing seat belts. b. Test the claim…
- 11. A local bank wants to evaluate the usage of its ATM. Currently the bank manager II assumes that the ATM is used consistently throughout the week, including weekends. She decides to use statistical inference with a 0.025 level of significance to test a customer's claim that the ATM is much busier on some days of the week than it is on other days. During a randomly selected week, the bank recorded the number of times the ATM was used on each day. The results are listed in the following table. ATM Usage Number of Times Used Monday 38 33 mdaay, Wednesday 41 Thursday 25 Friday 22 Saturday 38 Sunday 45A random sample of 845 births included 435 boys. Use a 0.10 significance level to test the claim that 50.5% of newborn babies are boys. Do the results support the belief that 50.5% of newborn babies are boys? O A. Ho: p=0.505 H₁: p > 0.505 B. Ho: p=0.505 H₁: p<0.505 OC. Ho: p *0.505 H₁: p=0.505 D. H₁: p=0.505 H₁: p *0.505 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.57. (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.)A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2807 occupant: not wearing seat belts, 33 were killed. Among 7718 occupants wearing seat belts, 19 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 sP2 H1: P1 P2 O B. Ho: P12 P2 O A. Ho: P1 = P2 H1: P1 > P2 H1: P1 P2 O F. Ho: P1 = P2 H1: P1 # P2 O D. Ho: P1 = P2 O E. Ho: P1+ P2 H1 P1A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2791 occupants not wearing seat belts, 39 were killed. Among 7644 occupants wearing seat belts, 19 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 2 P2 H1: P1 #P2 O B. Ho: P1 = P2 O A. Ho: P1 SP2 H: P1 #P2 H1: P1 P2 O F. Ho: P1 #P2 H: P1 = P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)Since an instant replay system for tennis was introduced at a major tournament, men challenged 1434 referee calls, with the result that 417 of the calls were overturned. Women challenged 743 referee calls, and 217 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. H1: P1 # P2 H1:P1 = P2 H1:P1To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Three hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.02 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Ticketed Not Ticketed Men 14 165 Women 22 99 Step 1 of 3: State the null and alternative hypotheses for the test Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.Since the instant replay system for tennis was introduced at a major tournament, men challenged 1427 referee calls, with the result that 415 of the calls were overturned. Women challenged 739 referee calls, and 229 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women.m have equal success in challenging calls. What is the conclusion based on the hypothesis test? 1) The P-value is ________ Less than or greater than ? 2) The significance level of a= 0.01, so _______ the null hypothesis. fail to reject or rejection? 3) There ______evidence to warrant rejection of the claim that women and men have equal success in challenging calls is sufficient or is not sufficient?A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 35, 26, 37, 38, 23, and 36. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? O Determine the null and alternative hypotheses. Choose the correct answer below. O A. H,: All outcomes are equally likely. H: At least one of the probabilities is different from the others. O B. Ho: At least one of the probabilities is different from the others. H: All outcomes are equally likely. O C. Ho: All frequencies are equal to 5. Ha: All frequencies are less than 5. O D. Ho All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, y. (Round to two decimal places as needed.) Identify the critical value. The critical value is (Round to two decimal places…A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2999 occupants not wearing seat belts, 31 were killed. Among 7626 occupants wearing seat belts, 14 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ ≤P2 H₁: P₁ P2 D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ = P2 H₁: P₁ P2 Z= (Round to two decimal places as needed.) C. Ho: P₁ H₁: P₁ P2 P2 F. Ho: P₁ = P2 H₁: P₁ P2SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. 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