on 2 of 7 The United States Centers for Disease Control and Prevention (CDC) fou

Question

on 2 of 7 The United States Centers for Disease Control and Prevention (CDC) found that (17.915El) of women ages (121)-1V59 ages (12W)-1V5ou test seropositive for HPV-16. Suppose that Tara, an infectious disease specialist, assays blood serum from a random sample of Wn = 1000) women in the United States agedW1ZWHI(59.11) Apply the central limit theorem for the distribution of a sample proportion to find the probability that the proportion. (hat p).l) of women in Tara's sample who test positive for HPV-16 is greater than 1V0.2001). Express the result as a decimal precise to three places. IV POhatlp/>0.206)=W) | .012 Apply the central limit theorem for the distribution of a sample proportion to find the probability that the proportion of women in Tara's sample who test positive for HP three places V-16 is less than I(o. 1691). Express the result as a decimal precise to iy Prhatbk 0.169)=11) |/824 Scroll

Explanation / Answer

Ans:

sampling distribution of sample proportions:

mean=p=0.179

standard deviation=sqrt(0.179*(1-0.179)/1000)=0.0121

a)

z=(0.206-0.179)/0.0121=2.23

P(z>2.23)=0.013

b)

z=(0.169-0.179)/0.0121=-0.825

P(z<-0.825)=0.205

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