Test: Exam 2, Spring 2018 This Question: 3 pts 4 of 12 (0 complete) According to

Question

Test: Exam 2, Spring 2018 This Question: 3 pts 4 of 12 (0 complete) According to a study conducted by an organization, the proportion of Americans who were afraid to fy in 2006 was 0.10. A random sample of 1,100 Ame proportion of Americans who are afraid to fly has increased 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 increased above 0 10 because the probability of obtaining O B. This is not necessarily evidence that the proportion of Americans who are atrad to fly has incroased above 0 10 because the sample proportion, O c This is not necessari y ev dence hat the proportion of Americans who are afraid to fy has increased above 0 0 because the sample size n is more t Round to four decimal places as needed) (Type an integer or a decimal.) O D. This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0. 10 because the value of np(1-p) is less Click to select and enter your answer(s).

Explanation / Answer

Solution:- By given p = 0.1 , q = 1-p = 0.9 n = 1100
  
p^ = 121/1100 = 0.11

=> P(p^ > 0.11) = P(Z > (p^ - p)/sqrt(pq/n))
= P(Z > (0.11 - 0.1)/sqrt(0.1*0.9/1100))
= P(Z > 1.1055)
= 0.1335

=> option A. This is not necessarily evidence that proportion of American who are afraid to fly has increased above 0.1 because the probability of obtaining a value equal to or more extreme than sample proportion is 0.1335 . which is not unusual

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.