# Random Samples from Two Binomials

This exercise is a "what if analysis" designed to determine what happens to the test statistics and interval estimates when elements of the statistical inference change. This can be solved manually or on Excel with Test statistics or Estimators workbook.

Random samples from two binomial populations produced the following statistics:

P hat 1 = .45 n1 = 100 p hat2 = .40 n2 = 100

a) Calculate the p-value of a test to determine whether we can infer that the population proportions differ.

b) Repeat part a increasing the sample sizes to 400.

c) Describe what happens to the p-value when the sample sizes increase.

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#### Solution Preview

Assuming alpha = 0.05 ...

(a) p- value = 0.4745 (Conclusion = ...

#### Solution Summary

Neat, step-by-step solution are provided. Solutions in Excel are also provided.