Answer:
Null Hypothesis, : p 11.3%
Alternate Hypothesis, : p > 11.3%
Step-by-step explanation:
We are given that 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.
<u><em>Let p = % of U.S. workers belonging to union membership</em></u>
So, Null Hypothesis, : p 11.3%
Alternate Hypothesis, : p > 11.3%
Here, <u>null hypothesis states that</u> the union membership has decreased or remained same in 2014.
On the other hand, <u>alternate hypothesis states that</u> the union membership has increased in 2014.
Also, The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics;</u>
T.S. = ~ N(0,1)
Hence, the above hypothesis is appropriate that can be used to determine whether union membership increased in 2014.