Confidence Interval question/ proportions Why is this the answer? I understand t

Question

Confidence Interval question/ proportions Why is this the answer? I understand the values are greater than 0...but Why is P(A) bigger than P(B).

Do it have to do witht the margin of error and point estimate?

margin of error= .18-.11/2 = .0350

A survey asked residents in state A and state B whether marijuana should be made legal. Assume all the conditions are met. A 95% confidence interval for pA-pB is given by (0.11,0.18) where pA is the proportion of all residents who favor "legal" in state A and pB is the proportion of all residents who favor "legal" in state B nswer the following two questions 20) Find the point estimate that was used in computing the given confidence interval (0.11, 0.18) a) 0.035 b) 0.07 c) 0 d) 0.29 e) 0.145 21) Based on this 95% confidence interval, what can we conclude About the proportion of residents who favor legalization in state A versus state B? a) Since all of the values in the confidence interval are les n 1, we are unable to conclude that there is a significant difference between the proportion in favor oflegalization in state B and the proportion in favor of legalization in state A. b) Since all of the values in the confidence interval are greater than 0, we can conclude that the proportion in favor of legalization was greater in state A than it was in state B. c) Since all of the values in the confidence interval are greater than 0, we can conclude that the proportion in favor of legalization was greater in state B than it was in state A. d) Since all of the values in the confidence interval are an 1, we can conclude that there is a significant difference between the proportion in favof of alization in state B and the proportion in favor of legalization in state A.

Explanation / Answer

as from your interval estimate of pa-pb as it is greater then 0

hence pa-pb>0

or pa>pb

20) point estimate =(0.11+0.18)/2 =0.145 option e is correct

21)option B is correct

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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