Answer with explanation:
Given : Sample size : n=425
The proportion of the population in Category A :
Significance level :
Critical value :
Since in normal distribution, the best estimate for proportion for population p is equals to the proportion for the sample.
Thus ,the best point estimate for p =0.27
Formula for margin of error :-
Hence, the margin of error = 0.0422
Now, the confidence interval for population proportion is given by :-
Hence, the 99% confidence interval for the proportion of the population in Category A given that 27% of a sample of 425 are in Category A =