Posted by tanya on Thursday, April 3, 2008 at 11:23am.
Formula for 99% interval estimate of the population mean:
CI99 = mean + or - 2.575(sd/√n)
...where + or - 2.575 represents the 99% confidence interval using a z-table, sd = standard deviation, √ = square root, and n = sample size.
Substitute what you know into the formula:
CI99 = 1759 + or - 2.575(380/√70)
Finish the calculation.
Formula for 95% interval estimate of the population proportion:
CI95 = p + or - 1.96[√(pq/n]
...where + or - 1.96 represents the 95% confidence interval using a z-table, p = x/n, q = 1 - p, and n = sample size.
Substitute what you know into the formula:
CI95 = 42/70 + or - 1.96[√(42/70)(28/70)/70]
Convert the fractions to decimals and finish the calculation.
I hope this will help.
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