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