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- #2.9 Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2026 passenger cars in a particular region, 218 had only rear license plates. Among 346 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis.Test the claim using a hypothesis test. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. Identify the test statistic. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.4. To find out the opinion about the use of ture, of which 195 use them, while irales, a random sample of 400 undergraduate students was chosen, of which 195 use them, while an independent sample of 200 high school students , 170 use them. Consider that population 1 is university students, while high school students are population 2. a)Carry out, with a significance level of 0.05, the hypothesis test that the population proportions that use video calling applications and virtual meetings are the same. b) Calculate the power of the test if P_1 - P_2 =- 0.10The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 713 employed persons and 613 unemployed persons are independently and randomly selected and that 338 of the employed persons and 244 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.…
- #6.9 Since an instant replay system for tennis was introduced at a major tournament, men challenged 1397 referee calls, with the result that 430 of the calls were overturned. Women challenged 743 referee calls, and 227 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Test the claim using a hypothesis test. Identify the test statistic z= What is the conclusion based on the hypothesis test?4. A barangay official claims that at least 95% of theresidents in his area have mobile phones. To test this claim, a researcherrandomly selected a sample of 150 residents and found that 145 of them do have mobile phones. At 1% level of significance, what can you conclude?Since an instant replay system for tennis was introduced at a major tournament, men challenged 1427 referee calls, with the result that 424 of the calls were overturned. Women challenged 756 referee calls, and 224of the calls were overturned. Use a 0,05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.
- Is there a difference between community college statistics students and university statistics students in what technology they use on their homework? Of the randomly selected community college students 55 used a computer, 88 used a calculator with built in statistics functions, and 20 used a table from the textbook. Of the randomly selected university students 47 used a computer, 85 used a calculator with built in statistics functions, and 36 used a table from the textbook. Conduct the appropriate hypothesis test using an αα = 0.10 level of significance. What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence What are the null and alternative hypotheses?H0:H0: Type of student and type of technology used for statistics homework are dependent. The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for…A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2913 occupants not wearing seat belts, 38 were killed. Among 7846 occupants wearing seat belts, 13 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? Identify the test statistic: Identify the P Value: What is the conclusion based on the hypothesis test? The P-value is (less than, greater than) the significance level of a=0.05, so (reject, fail to reject) the null hypothesis. There (is, is not) sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. b. Test the claim by constructing an…Since an instant replay system for tennis was introduced at a major tournament, men challenged 1431 referee calls, with the result that 412 of the calls were overturned. Women challenged 772 referee calls, and 210 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.