Question

# Now the World Bank wants to examine the proportion of Tanzanian women who have access to...

Now the World Bank wants to examine the proportion of Tanzanian women who have access to a financial account. To do so, statisticians take a simple random sample of 600 Tanzanian women, out of a population of about 29 million and find that 43.5 percent of the sample have access to a financial account.

1. Calculate a 95 percent confidence interval for this proportion.
2. Calculate a 99 percent confidence interval for this proportion.

sample size: n= 600

sample proportion: a)

Confidence level: c = 95%

formula for confidence inteval is where Zc is the z critical value for c= 95%

Zc= 1.96 0.39533 < P < 0.47467

rounding to 3 decimals

0.395 < P < 0.475

Thus we get 95% confidence interval as ( 0.395 ,  0.475)

b)

Confidence level: c = 99%

formula for confidence inteval is where Zc is the z critical value for c= 99%

Zc= 2.576 0.38287 < P < 0.48713

rounding to 3 decimals

0.383 < P < 0.487

Thus we get 99% confidence interval as ( 0.383 ,  0.487 )

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