Question Help A research poill showed that 1254 out of 2031 randomly polled peop

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Question Help A research poill showed that 1254 out of 2031 randomly polled people in a country favor the death penalty for this convicted of murder below Assuming the condisions for the CLT were met,complete parts (a) and (o Samplex Sample p 0.617430 95% 1254 2031 (0.596293, 0.638567) a Using the technology output given, write out the following sentence. ?am95% cont dont that the popu ton propor favoring the death penalty is between and Rund to three dea nal places as needed b. Is it plausible to claim that a majority favor the death penalty? Explain O A. Yes, Rt is a plausible claim because the confidence interval does not contain 50% OB No, R is not a plausible claim because the confidence interval does not contain values above 50 C. Yes, n-a pluisitie clar, because he corndence merval contam vales above 50%. 0 D. ho, a is not a plaustie claim because confidence interval coma ns 50

Explanation / Answer

(a) As we are given the 95% CI

I am 95% confident that the population proportion favoring the death penaly is between 0.596 and 0.639.

(b) If we look at the CI, we can see that it is greater than 0.5. This means we are 95% confident that the population proportion is greater than 0.5 (majority). Hence,

C.  Yes, it is a plausible claim because the confidence interval contains values above 50%.

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