·all Verizon 12:48 PM * 72% webassign.net The result is significant at the 5% le
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·all Verizon 12:48 PM * 72% webassign.net The result is significant at the 5% level, so we reject Mo and conclude that a majority of people prefer instant The result is not significant at the 5% level, so we do not reject Ho and conclude that a majority of people prefer instant coffee. The result is significant at the 5% level, so we reject Ho and conclude that a majority of people prefer fresh. brewed coffee. 69 points MinboStat9 8E.S03 XP My Noles Ask Your Teacher In a study of the relationship between pet ownership and physical activity in older adults, 590 subjects reported that they owned a pet, while 1946 reported that they did not. Give a 95% confidence interval for the portion of older adults in this population who are pet owners (Round your answers to three decimal places) Lower limit Upper limit /0.63 points MinboStats 8E.040 My Notes Ask Your One of your employees has suggested that your company develop a new product. You decide to take a random sample of your customers and ask whether or not there is interest in the new product. The response is on a 1 to 5 scale with 1 indicating "definitely would not purchase", 2,-probably would not purchase", 3,-not sure", 4·"probably would purchase"; and 5, "definitely would purchase. For an initial analysis, you will record the responses 1, 2, and 3 as "No" and 4 and 5 as "Yes. What sample size would you use if you wanted the 95% margin of error to be 0.3 or less? (Round your answer up to the next whole number) participants My Notes Ask Your Teacher An automobile manufacturer would ike to kknow what proportion of its customers are dissatisfied with the service received fromm their local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied. From past studies, it believes that this proportion will be about 0.27. Find the sample size needed if the margin of error of the confidence interval is to be no more than 0.035. (Round your answer up to the .13/0. points 1 Previous Answers MintroStat9 8.6.093 In this exercise we examine the effect of the sample size on the significance test for comparing two proportions. In each case suppose that . 0.65 and P2·0.45, and take n to be the common value of n1 and n2. Use the z statistic to test M., p.-P2 versus the alternative H Ps Pz Compute the statistic and the associated P-value for the following values of n: 50, 60, 70,90 My Notes Ask YourExplanation / Answer
Solution:-
27) Given that n = 1946 , x = 590 ,
p = 590/1946 = 0.303 , q = 1 - p = 1 - 0.303 = 0.697
Z(0.025) = 1.96
95% confidence interval for the proportion of older adults in this population
= p +/- Z * sqrt(pq/n)
= 0.303 +/- 1.96 * sqrt(0.303*0.697/1946)
= (0.283 , 0.323)
lower limit : 0.283
upper limit : 0.323
28) Given that Z(0.025) = 1.96 , E = 0.3
Formula : n = (Z/E)^2*p(1-p)
There fore p = 0.5 (assume)
n = (1.96/0.3)^2*0.5*0.5
n = 10.671
n = 11
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