Question

A random sample of 1021 adults in a certain large country was asked "Do you prosty much think televisions are a necessity or a luxury you could do wthout of the 1021 adults surveyed, 638 indicated that televisions are a ury they could do without Complete parts() through ( below Click here to view the standard formal distribution table lage 11 Cick here to view the standard normal distribution table page 21 (a) Obtain a point estimate for the population proportion of adults in the country who believe that elevisions are a luxury they could do without (Round to three decimal places as needed.) Verily that the requirements for constructing a confidence interval about pare satisfied The sample a simple random sample, the value 10 and the less than or equal to 5% of the Hound to three decimal places as needed (c) Construct and interpreta 95% concentral for the population proportion of adults in the country who believe that wevisions are a luxury they could do without Select the correct choice below and felinary answer bones within your choice Type Integer or decimal rounded to three decimales de Uscending order) OA There is probably the proportion of as in the country who believe that televisions are a lotury they could do without is between and OB. We recorderte proportion of as in the country who believe that wevisions are a luxury they could do without in between and () is it possible that a supermarty more than tos) of adults in the country believe that vision is a ury they could do without? is ty? w that a supermajority of adults in the country believe the vision is a luxury they could do without because the confidence interval (Type an integrada Do not round) # Use the results of part del conta 08% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity, Lower bound: upper bound Round to the decimales needed Click to select your new

Answer 1

stoties Given n - 1021 X = 536 9) 536 liore 0.525 value sample proportion p = xlo b) The sample can be assumed to be a simple vordon sample the of np (1-8) 1021 (o.sar ) (1–0.525) = 254.612 which is more than and the sample should be less than or equal to of Confidence Internal is lo 54 population 957. No 1-0.95 = 0.05 1.96 → The Critical value of 2/2 = 20.05/2 I for p 8 & 2 xl Cup 954. 0.505 196 0.525 X 0.75 1021 0.525 0.03063 CI - are Country who LS Card Cougu, 0.456) 95.), Confident the proportion of adult in the believe that televisions are luxury they blo o.ugu and 0.55 G. It is not possible that a sopernafanuity of adults that teleursions are luxury they could do Confidence Intence does not Contall do without the d) Country without believe because the 95'/. 0. CO The e) 95%. Cosfidence Internal is (1-0.556, 1-0.494) 0.444, 0.506