17) Do a hypothesis for the following, make sure to include and label all five steps: Test the claim that the treatment groups mean is smaller than the mean of the control group. Use a 0.01 significance level. Treatment Group Control Group n, = 78 n = 70 X, =179.1 X, = 213.7 %3D S = 35.7 S2 = 37.2
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- List the sample space of each experiment. Selecting a letter of the alphabetIn a study of the number of non-removable defects for each of n = 45 screens, x-bar = 2,667 and s = 3,057 non-removable defects were obtained. a. Perform a hypothesis test with the intention of showing that the mean number of non-removable defects is less than 3.6 with a significance level of 0.025.b. Based on the conclusion of the previous paragraph, what mistake could you make?Explain in the context of the problem.In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were from the New Model Army, and 226 were from the Royalist Army. Use a 0.05 significance level to test the claim that fewer than one quarter of the soldiers were Royalist.
- A pharmacist claims that more than 60% of all customers simply collect a prescription. One of her assistants notes that in a random sample of 12 customers, 10 simply collected a prescription. Does this provide sufficient evidence to support the pharmacist’s claim? Evaluated on a TI 83 calculator"At a certain college, it is estimated that about 37% of the students have cars on campus, and with this number, the parking lot is fully occupied. Would you suggest to increase the parking lot space if, in a random sample of 48 college students, 24 are found to have cars? Use 0.01 level of significance."A manufacturer claimed that at least 98% of the steel pipes which he supplied to a factoryconformed to specifications. An examination of a sample of 500 pieces of pipes revealedthat 30 were defective. Test this claim at a significance level of 0.05.
- To 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. Four 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. Speeding Tickets Ticketed Not Ticketed Men 28 152 Women 20 200 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: p1=p2 Ha: p1__p2 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.A marketing firm wants to know if there is a difference in the best marketing strategy for new customers compared to returning customers. In order to determine the relationship between marketing strategy and customer type, the following information on number of sales generated is obtained for each group. Is there sufficient evidence at the 0.025 level of significance to conclude that an association exists between marketing strategy and customer type? Observed Sample of Customers Paid search Social Media Web retargeting TotalNew customer 163 144 169 476Returning customer 149 165 141 455Total 312 309 310 931 Step 3 of 4 : Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If…According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random sample of 110 traffic fatalities in a certain region results in 49 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
- An online poll asked: "Do you believe the Loch Ness monster exists?" Among 20 comma 47820,478 responses, 6969% were "yes." Use a 0.050.05 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond?A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are equal.The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.33. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area. Use 0.05 significant level. Race Lake Tahoe Frequency Manhattan Frequency Asian Indian 131 174 Chinese 118 557 Filipino 1,045 518 Japanese 80 54 Korean 12 29 Vietnamese 9 21 Other 24 66 Write the null and alternate hypotheses.