According to a study done by the Pew Research Center, 39% of adult Americans bel

Question

According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is now obsolete.
(c) What is the probability that a random sample of 500 adult Americans would find that 210 or more believe marriage is obsolete? Enter your answer in decimal form rounded to the 4th decimal place. According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is now obsolete.
(c) What is the probability that a random sample of 500 adult Americans would find that 210 or more believe marriage is obsolete? Enter your answer in decimal form rounded to the 4th decimal place.
(c) What is the probability that a random sample of 500 adult Americans would find that 210 or more believe marriage is obsolete? Enter your answer in decimal form rounded to the 4th decimal place. (c) What is the probability that a random sample of 500 adult Americans would find that 210 or more believe marriage is obsolete? Enter your answer in decimal form rounded to the 4th decimal place.

Explanation / Answer

This problem can be solved using normal approximation to binomial distribution

p = 0.39
n = 500

mean = np = 500*0.39 = 195
std. dev. = sqrt(n*p*(1-p)) = 10.9064

P(X>210) = P(z>(210-195)/10.9064) = P(z>1.3753) = 0.0845

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