Question

A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether union efforts to organize have increased union membership. Formulate the hypotheses that can be used to determine whether union membership increased in 2006.

Answer 1

Answer:

The null hypothesis is $H_0: p\leq 0.125$

Alternate hypothesis is $H_a: p>0.125$

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 $H_0: p\leq 0.125$

Alternate hypothesis is $H_a: p>0.125$