Answer:
The null hypothesis is [tex]H_0: p\leq 0.125[/tex]
Alternate hypothesis is [tex]H_a: p>0.125[/tex]
Step-by-step explanation:
Consider the provided information.
A study found that, in 2005, 12.5% of U.S. workers belonged to unions.
Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether union efforts to organize have increased union membership.
Here we just need to formulate the hypotheses.
It is given that:
n=400 and 12.5% of U.S. workers belonged to unions.
12.5% can be written as:
12.5/100=0.125
The Null hypothesis: The workers belonging to unions ≤ 0.125
Alternate hypothesis: The workers belonging to unions is > 0.125
This can be written as:
So, the null hypothesis is [tex]H_0: p\leq 0.125[/tex]
Alternate hypothesis is [tex]H_a: p>0.125[/tex]
