Question

13. Confidence Interval: Suppose that the researchers studying the proportion of girl children born to women who experience severe morning sickness wanted a 95% confidence interval for $P$ with a margin of error of only $pm$ 0.02 (m). What sample size ($n$) would be required? Show all calculations. a. Do this calculation assuming that the researchers had no knowledge of the value of $P$. b. Re-do the calculation using the information $hat{p}$ = 0.56 as an estimate of $P$ that was obtained from a preliminary study. c. If these researchers wanted a 99% confidence interval with a margin of error of no larger than $pm$ 0.02, how large a sample size is needed? Assume no prior information. d. How does the desire for increased ""confidence"" affect the sample size required to attain the desired margin of error?

          13. Confidence Interval: Suppose that the researchers studying the proportion of girl children
born to women who experience severe morning sickness wanted a 95% confidence interval
for $P$ with a margin of error of only $pm$ 0.02 (m*). What sample size ($n*$) would be required?
Show all calculations.
a. Do this calculation assuming that the researchers had no knowledge of the value of $P$.
b. Re-do the calculation using the information $hat{p}$ = 0.56 as an estimate of $P$ that was
obtained from a preliminary study.
c. If these researchers wanted a 99% confidence interval with a margin of error of no
larger than $pm$ 0.02, how large a sample size is needed? Assume no prior information.
d. How does the desire for increased ""confidence"" affect the sample size required to attain
the desired margin of error?

13. Confidence Interval: Suppose that the researchers studying the proportion of girl children
born to women who experience severe morning sickness wanted a 95% confidence interval
for P with a margin of error of only pm 0.02 (m*). What sample size (n*) would be required?
Show all calculations.
a. Do this calculation assuming that the researchers had no knowledge of the value of P.
b. Re-do the calculation using the information hatp = 0.56 as an estimate of P that was
obtained from a preliminary study.
c. If these researchers wanted a 99% confidence interval with a margin of error of no
larger than pm 0.02, how large a sample size is needed? Assume no prior information.
d. How does the desire for increased ""confidence"" affect the sample size required to attain
the desired margin of error?

Added by David B.

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