Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. give the best point estimate for p, the margin of error, and the confidence interval. assume the results come from a random sample. a 99% confidence interval for the proportion of the population in category a given that 27% of a sample of 425 are in category a.

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 =

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step-by-step explanation: