Question

step 2: find margin of error

step 3: find confidence interval

Save & Exit Certify Lesson: 9.4 Comparing Two Population Pr... DAGNY HEINSOH Question 4 of 10, Step 2 of 3 8/30 Correct A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Nort and the Midwest. The representative's belief is based on the results of a survey. The survey included a random sample of 740 northeastern residents and 860 midwestern residents. 35% of the northeastern residents and 46% of the midwestern residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions. Step 2 of 3 : Find the margin of error. Round your answer to six decimal places. Answer How to enter your answer T Tables Keyboards Previous Step Submit Answ

Answer 1

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solution given n = 740 - 860 n. h = 0.35 . = 0.46 Margin of error is given by h (1-B) P. (1-P) hi E 2211 + n. given C=98-1. a = 1-c =1-0.98 = 0.02 = 2.3 26 Zap= Zool Hence E = 2.326 0.35 C 1-0.35 0.46 (1-0.45) + 740 860 2.326 0.00030743 + 0.00028884 2.326 0.00059627 2.326 X 0.0244186 (6.05679 ^ interval مر 981. for biope confidence given by ((B-12) - E, (p. - P.) + E) = (0-35-0-40) - 0:0529.635-046) + 6056398) (-0.166798 -0.053202). 2