Question

The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions. Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership at 0.025 level of significance. The sample results in a test statistic (z) of 1.31. We conclude that union membership increased in 2014. (Enter 1 if the conclusion is correct. Enter 0 otherwise.)

Answer 1

1 is the answer

Explanation:

Given that the U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions.

`H_0: p=0.113\\H_a: p >0.113`

(Right tailed test for testing of a sample proportion with population proportion)

Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership at 0.025 level of significance.

Test statistic Z = 1.31

p value for this right tailed test would be 0.095

This p value is greater than 0.025

Hence at 2.5% significance level the conclusion is correct

1 is the answer.