(a) Let på be the population proportion of all people who answer the voter registration question accuratelyduring a face-to-face interview. Let p₂ be the population proportion of all people who answer the questionaccurately during a telephone interview. Find a 95% confidence interval for p₁ - pz. (Round your answersto three decimal places.)lower limitupper limit(b) Does the interval contain numbers that are all positive? all negative? mixed? Comment on the meaningof the confidence interval in the context of this problem. At the 95% level, do you detect any difference inthe proportion of accurate responses from face-to-face interviews compared with the proportion ofaccurate responses from telephone interviews?Because the interval contains only positive numbers, we can say that there is a higher proportion ofaccurate responses in face-to-face interviews. Because the interval contains both positive andnegative numbers, we can not say that there is a higher proportion of accurate responses in face-to-faceinterviews. We can not make any conclusions using this confidence interval. Because theinterval contains only negative numbers, we can say that there is a higher proportion of accurateresponses in telephone interviews.(c) Test the claim that there is a difference in the proportion of accurate responses from face-to-faceinterviews compared with telephone interviews. Use α = 0.05.(i) What is the level of significance?State the null and alternate hypotheses.OHo: p₁ = pz; H₁: p₁ # p2 Ho: p₁ > pz; H₁: p₁=p² Ho: pi= pz; H₁: pi > pa Ho: p₁ = pz; H₁: p₁ A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by acheck of city voting records. Two methods of survey were used: a face-to-face interview and a telephoneinterview. A random sample of 92 people were asked the voter registration question face to face. Ofthose sampled, seventy-nine respondents gave accurate answers (as verified by city records). Anotherrandom sample of 82 people were asked the same question during a telephone interview. Of thosesampled, seventy-five respondents gave accurate answers. Assume the samples are representative ofthe general population.

The question is a hypo. testing and confidence interval Given : Randomly selected no. of people for…

A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 92 people were asked the voter registration question face to face. Of those sampled, seventy-nine respondents gave accurate answers (as verified by city records). Another random sample of 82 people were asked the same question during a telephone interview. Of those sampled, seventy-five respondents gave accurate answers. Assume the samples are representative of the general population.