Question

According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of 1,200 Americans results in 108 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has decreased. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. This is not necessarily evidence that the proportion of Americans who are afraid to fly has decreased below 0.10 because the sample size n is more than 5% of the population. OB. This is not necessarily evidence that the proportion of Americans who are afraid to fly has decreased below 0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is , which is not unusual. (Round to four decimal places as needed.) O C. This is not necessarily evidence that the proportion of Americans who are afraid to fly has decreased below 0.10 because the value of np(1-p) is less than 10. OD. This is not necessarily evidence that the proportion of Americans who are afraid to fly has decreased below 0.10 because the sample proportion, is very close to 0.10. (Type an integer or a decimal.)

Answer 1

Solution Given data is Sambole Size n = doo Number of afraid to fly = x= 108 Samlere endoortion = 6 x = 108 0.09 1200 If denote the estimated proportion in then samble upo? oo (1-10) 0.10(1-0/0) 1200 n Oo 00866 TP = ploc.0.09) PCB-rep 5.0.09-0-10 - Plz L-10155 ) 0.00866 up Since 01241 plo < 0.09) 30.10 So the event is not unwual. the corect answer is (B) This is not necessarily evidence that the predo rtion of Americans who are afraided to fly has decreased of obtaining a Hence value belau o 10 because the lorobability

to entreeme than the equal or more broportion is unusual Samble 0.1241 241 ), w which is
The solution to this problem is given by