(i) Find a 95\% confidence interval for p, the true proportion of the Egyptian population infected with the Hepatitis C virus. (ii) Had we wanted to find a 95\% confidence interval for p, with width w being 1 percentage point, how large a sample size would be needed? Give your answer by using p = – and also by using p = . %3D

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Since the days of the Pharaohs, people in Egypt suffered the ravages of a parasite called schisosomaisis that is found
in the mud of Nile delta. To reduce the spread of infection, between 1918 to 1982, some western countries helped perform
inoculation in the general Egyptian population. However, with little care taken to disinfect the syringes and needles, a
large portion of the Egyptian population became infected with a deadly form of hepatitis virus -- the hepatitis C virus,
(HCV) which was not recognized at that time. The result of that debacle is that Egypt now has the highest prevalence of
hepatitis C in the world. In order to quantify the extent of its spread, a simple random sample of n = 3888 people showed
973 individuals exposed to the hepatitis C virus.
(i) Find a 95\% confidence interval for p, the true proportion of the Egyptian population infected with the Hepatitis C
virus.
(ii) Had we wanted to find a 95\% confidence interval for p, with width w being 1 percentage point, how large a sample
size would be needed? Give your answer by using p = and also by using p = p .
The following
(a) (i) p = 0.2502 z .25. An approximate 95% confidence interval is [0.236, 0.264].
(ii) A conservative value is n = 38416 if we use p = 1/2. A more realistic estimate is n z 28812 if we use p = p = 0.2502.
answers" have been proposed.
(b) (i) ô = 0.2502 z .25. An approximate 95% confidence interval is [0.236, 0.264].
(ii) A conservative value is n = 3888 if we use p = 1/2. A more realistic estimate is n = 1881 if we use p = p = 0.2502.
(c) (i) p = 0.3592 = .36. An approximate 95% confidence interval is [0.336, 0.384].
(ii) A conservative value is n = 3888 if we use p = 1/2. A more realistic estimate is n z 1881 if we use p = p = 0.2502.
(d) (i) p = 0.3592 = .36. An approximate 95% confidence interval is [0.336, 0.384].
(ii) A conservative value is n = 38416 if we use p = 1/2. A more realistic estimate is n z 28812 if we use p = p = 0.2502.
(e) None of the above.
The correct answer is
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)
Transcribed Image Text:Since the days of the Pharaohs, people in Egypt suffered the ravages of a parasite called schisosomaisis that is found in the mud of Nile delta. To reduce the spread of infection, between 1918 to 1982, some western countries helped perform inoculation in the general Egyptian population. However, with little care taken to disinfect the syringes and needles, a large portion of the Egyptian population became infected with a deadly form of hepatitis virus -- the hepatitis C virus, (HCV) which was not recognized at that time. The result of that debacle is that Egypt now has the highest prevalence of hepatitis C in the world. In order to quantify the extent of its spread, a simple random sample of n = 3888 people showed 973 individuals exposed to the hepatitis C virus. (i) Find a 95\% confidence interval for p, the true proportion of the Egyptian population infected with the Hepatitis C virus. (ii) Had we wanted to find a 95\% confidence interval for p, with width w being 1 percentage point, how large a sample size would be needed? Give your answer by using p = and also by using p = p . The following (a) (i) p = 0.2502 z .25. An approximate 95% confidence interval is [0.236, 0.264]. (ii) A conservative value is n = 38416 if we use p = 1/2. A more realistic estimate is n z 28812 if we use p = p = 0.2502. answers" have been proposed. (b) (i) ô = 0.2502 z .25. An approximate 95% confidence interval is [0.236, 0.264]. (ii) A conservative value is n = 3888 if we use p = 1/2. A more realistic estimate is n = 1881 if we use p = p = 0.2502. (c) (i) p = 0.3592 = .36. An approximate 95% confidence interval is [0.336, 0.384]. (ii) A conservative value is n = 3888 if we use p = 1/2. A more realistic estimate is n z 1881 if we use p = p = 0.2502. (d) (i) p = 0.3592 = .36. An approximate 95% confidence interval is [0.336, 0.384]. (ii) A conservative value is n = 38416 if we use p = 1/2. A more realistic estimate is n z 28812 if we use p = p = 0.2502. (e) None of the above. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)
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