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##### STAT-P5T5 Assignment-A medical doctor claims that the proportion of female patients with high blood-pressure

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Question;Question 1A medical doctor claims that the proportion of female patients with high blood-pressure is smaller than the proportion of male patients with high blood-pressure. The doctor conducted a survey in hispractise. Out of the 100 female patients only 13 had high bloodpressure and out of the 110 male patients, 33 had high bloodpressure.1.1 Test the doctors? claim at a 5% level of significance.Assume that the population proportions are equal.1.2 Construct a 90% confidence interval for the difference between the two population proportions.1.3 Compute the p-valueQuestion 2An experimenter is concerned that variability of responses using two different experimental procedures may not be the same. He randomly selects two samples of 16 and 14 responses from two normal populations and gets the statistics: S 12 = 55 and S22 = 118 respectively. Do the sample variances provide enough evidence at the 10% significance level to infer that the two population variancesdiffer?Question 11. TABLE 10-10The following EXCEL output contains the results of a test to determine if the proportions of satisfied guests at two restaurants are the same or different.Hypthesized DifferenceLevel of SignificanceGROUP 1Number of SuccessesSample SizeGROUP 2Number of SuccessesSample SizeGroup 1 ProportionGroup 2 ProportionDifference in Two ProportionsAverage ProportionTest StatisticTWO-TAIL TESTLower Critical ValueUpper Critical Valuep-Value00.051632271542620.7180616740.587786260.1302754140.6482617593.00875353-1.9599610821.9599610820.002623357Referring to Table 10-10, allowing for 0.75% probability of committing a Type I error, what are the decision and conclusion on testing whether there is any difference in the proportions of satisfied guests in the two restaurants?Do not reject the null hypothesis, there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two restaurants.Do not reject the null hypothesis, there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two restaurants. Reject the null hypothesis, there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two restaurants.Reject the null hypothesis, there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two restaurants.Question 21. TABLE10-12The dean of a college is interested in the proportion of graduates from his college who have a jobOFFER on graduation day. He is particularly interested in seeing if there is a difference in thisproportion for accounting and economics majors. In a random sample of 100 of each type of major at graduation, he found that 65 accounting majors and 52 economics majors had job OFFERS. Ifthe accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.Referring to Table 10-12, the hypotheses the dean should use are:H0:? 1 -? 2 = 0 versus H1:?1-?2?0H0:? 1 -? 2? 0 versus H1:? 1 -? 2 = 0H0:? 1 -? 2?0 versus H1:? 1 -? 2 > 0H0:? 1 -? 2?0 versus H1:? 1 -? 2 0H0:? 1 -? 2?0 versus H1:? 1 -? 2 0H0:? 1 -? 2?0 versus H1:? 1 -? 2 0H0:? 1 -? 2?0 versus H1:? 1 -? 2 < 0Question 52.TABLE 10-10The following EXCEL output contains the results of a test todetermine if the proportions of satisfied guests at two restaurantsare the same or different.Hypthesized DifferenceLevel of SignificanceGROUP 1Number of SuccessesSample SizeGROUP 2Number of SuccessesSample SizeGroup 1 ProportionGroup 2 ProportionDifference in Two ProportionsAverage ProportionTest StatisticTWO-TAIL TEST00.051632271542620.7180616740.587786260.1302754140.6482617593.00875353Lower Critical ValueUpper Critical Valuep-Value-1.9599610821.9599610820.002623357Referring to Table 10-10, if you want to test the claim that "Restaurant1 (Group 1) has a higher proportion of satisfied customers comparedto Restaurant 2 (Group 2)", the p-value of the test will be0.002620.00262/22*(0.00262)1-(0.00262/2)Question 61.TABLE 10-11A corporation randomly selects 150 salespeople and finds that66% who have never taken a self-improvement course would likesuch a course. The firm did a similar study 10 years ago in which60% of a random sample of 160 salespeople wanted a selfimprovement course. The groups are assumed to be independentrandom samples. Let? 1 and? 2 represent the true proportion ofworkers who would like to attend a self-improvement course in therecent study and the past study, respectively.Referring to Table 10-11, what is the estimated standard error ofthe difference between the two sample proportions?0.6290.5000.0550Question 71.TABLE 10-11A corporation randomly selects 150 salespeople and finds that66% who have never taken a self-improvement course would likesuch a course. The firm did a similar study 10 years ago in which60% of a random sample of 160 salespeople wanted a selfimprovement course. The groups are assumed to be independentrandom samples. Let? 1 and? 2 represent the true proportion ofworkers who would like to attend a self-improvement course in therecent study and the past study, respectively.Referring to Table 10-11, what is the value of the test statistic touse in evaluating the alternative hypothesis that there is adifference in the two population proportions?4.3351.961.0930Question 81.In testing for differences between the means of two relatedpopulations, the null hypothesis isH0:?D = 2.H0:?D = 0.H0:?D 0.Question 93.TABLE 10-10The following EXCEL output contains the results of a test todetermine if the proportions of satisfied guests at two restaurantsare the same or different.Hypthesized DifferenceLevel of SignificanceGROUP 1Number of SuccessesSample SizeGROUP 2Number of SuccessesSample SizeGroup 1 ProportionGroup 2 ProportionDifference in Two ProportionsAverage ProportionTest StatisticTWO-TAIL TESTLower Critical ValueUpper Critical Valuep-Value00.051632271542620.7180616740.587786260.1302754140.6482617593.00875353-1.9599610821.9599610820.002623357Referring to Table 10-10, if you want to test the claim that "Restaurant1 (Group 1) has a lower proportion of satisfied customers comparedto Restaurant 2 (Group 2)", you will usea t-test for the difference between two proportions.a z-test for the difference between two proportions.an F test for the difference between two proportions.a x2 test for the difference between two proportions.Question 101.TABLE 10-11A corporation randomly selects 150 salespeople and finds that66% who have never taken a self-improvement course would likesuch a course. The firm did a similar study 10 years ago in which60% of a random sample of 160 salespeople wanted a selfimprovement course. The groups are assumed to be independentrandom samples. Let? 1 and? 2 represent the true proportionof workers who would like to attend a self-improvement course inthe recent study and the past study, respectively.Referring to Table 10-11, what is/are the critical value(s) whentesting whether population proportions are different if? = 0.10?? 1.645? 1.96-1.96? 2.08

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