According to a poll of adults, about 47% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p = 0.47. Now consider a random sample of 500 adults. Complete parts a and b below. a. What is the probability that between 44% and 50% of the sampled adults work during summer vacation? The probability is (Round to three decimal places as needed.) b. What is the probability that over 64% of the sampled adults work during summer vacation? The probability is (Round to three decimal places as needed.)
Added by Linda C.
Step 1
Given: - p = 0.47 - N = 500 - variance = 124.55 Calculate the z-scores for 44% and 50%: z1 = (0.44 - 0.47) / sqrt(124.55) = -0.03 / 11.16 = -0.0027 z2 = (0.50 - 0.47) / sqrt(124.55) = 0.03 / 11.16 = 0.0027 Now, find the probability: P(0.44 < X < 0.50) = Show more…
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