Using the traditional formula, a 95% CI for p1 − p2 is to be constructed based on equal sample sizes from the two populations. For what value n (= m) will the resulting interval have width at most 0.4 irrespective of the results of the sampling? (Round your answer up to the nearest whole number.)

The minimum sample size required is 49.

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between two proportions is:

*The sample size is considered equal in this case.

The width of the interval is at most 0.40.

Then the margin of error of the interval will be:

MOE = Width ÷ 2 = 0.20

The formula of the margin of error is:

Assume that the two sample proportion values are 0.50.

The critical value of z for 95% confidence level is:

Compute the sample size required as follows:

Thus, the minimum sample size required is 49.

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step-by-step explanation: