The United States Centers for Disease Control and Prevention(CDC) found that 17.9%17.9% of women ages 1212–5959 testseropositive for HPV?16. Suppose that Tara, an infectious diseasespecialist, assays blood serum from a random sample of n=1000n=1000women in the United States aged 1212–59.59.
Apply the central limit theorem for the distribution of a sampleproportion to find the probability that the proportion, ^p,p^, ofwomen in Tara's sample who test positive for HPV?16 is greater than0.1990.199. Express the result as a decimal precise to threeplaces.
P(^p>0.199)=
Apply the central limit theorem for the distribution of a sampleproportion to find the probability that the proportion of women inTara's sample who test positive for HPV?16 is less than 0.1740.174.Express the result as a decimal precise to three places.
P(^p<0.174)=
