Chapter 9.3, Problem 9.51E

To determine

To explain about how many test results would be statistically significant.

Answer to Problem 9.51E

We expect about 50 tests to have statistically significant test results.

Explanation of Solution

Given:

n = 1000

a = 0.05.

The fixed significance level determines whether the sample proportion is significant or not significant, when the null hypothesis is true. That is, when null hypothesis is rejected then test result is statistically significant. Therefore, we expect about 5% of the tests to have test result that are statistically significant.

So, $0.05\times 1000=50$

Hence, we expect about 50 tests to have statistically significant test results.