Question

o A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without of the 1015 adults surveyed, 512 indicated that televisions are a luxury they could do without Complete parts (a) through (0) below. Growth andardroge Click to view the standard normal distriton tablete (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without (Round to three decimal places as needed) (b) Verify that the requirements for constructing a confidence interval about pare satisfied The sample a simple random sample, the value of which is 10, and the V less than or equal to 5% of the (Round to three decimal places as needed) (c) Construct and interpreta 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without Select the correct choice below and fill in any answer boxes within your choice (Type integers or decimals rounded to three decimal places as needed. Use ascending order) OA We are % confident the proportion of adults in the country who believe that televisions are a lucury they could do without is between and OB. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and (d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is w that a supermajority of adults in the country believe that television is a luxury they could do wthout because the 95% confidence interval ? Click to select your answers

Answer 1

Here we have n = 1015 -10.504 1015 h = 512 (a) Ô = 70 512 n (b) The sample is a simple random sampie. the value of inp/ is 15.11.56 which is greater than 10, and the sample size cannot be assumed to be 1988 than or equal 10 5.7 of the population size). (CJ A7954. Confidence interval, dai-095=0.05 2/2 = 0.025 critical = 2a/2 = 710.025 1.96

951. confidence interval for the population Proportion E Ø + Zbritical */ Blico) n = 0.504 + 1.96 */10.504) ().-O. 504) 1015 = 0.504 + 0.03076 = 0.47324, 0.53476 10.473,0.535) Round to thru decimal places Al we are 195). confident the propertim of adults in the country who believe that television are luxury they could do without is between 10:473] and [0.5357

(d) It is possible that a super mojority of adults in the country believe that television e's a luxury they could do without be cause the 954 confidence interval does not contain it

les lower bound 0.473 Upper bound 0.535