Question

A random sample of 1011 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 1011 adults surveyed, 536 indicated that televisions are a luxury they could do without Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) (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 P = 0.530 (Round to three decimal places as needed) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. sample size can be assumed to be less than or equal to 5% of the population size. The sample is stated to be a simple random sample, the value of np 1-D) is 251.83, which is greater than or equal to 10, and the (Round to three decimal places as needed.) (c) Construct and interpret a 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 founded to three decimal places as needed. Use ascending order.) O A. We are confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and O B. There is a % chance the proportion of adults in the country who believe that televisions are a luxury they could do without is between and

Need help with part "C"

Answer 1

Here we have n=1011 X = 536 Ø = 8.360.630 1011 CJ At 95%. Confidence interval, .012: 0.025 Q : 110.95= 0.05 Zicritica = 20.025 = 6.96 95 y confidence interval for population proportion of adults who believe that televisions are a luxury they could do without = Ⓡ + Zbriticas *PL, )0.530 + 1.96*0.92/10.153) 1011 places : 0.530 E 0.01569 0.51431, 0.54569 = 10.514, 0.546) Round to 3 decimal Inter pretation A we are g5] » Confident that the population proportion of adults in the country who believe that tekvisions are a luxury they could do without is between 10.514 and 0.546)