An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased.
H0: p ≤ 0.115
Ha: p > 0.115
H0: p < 0.115
Ha: p ≥ 0.115
H0: p > 0.115
Ha: p ≤ 0.115
H0: p ≥ 0.115
Ha: p < 0.115
H0: p = 0.115
Ha: p ≠ 0.115
(b) If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test?
1. Find the value of the test statistic. (Round your answer to two decimal places.)
2. Find the p-value. (Round your answer to four decimal places.)
3. p-value =
(c) At α = 0.05,
what is your conclusion?
1. Reject H0. There is insufficient evidence to conclude that there has been an increase in union membership.
2. Do not reject H0. There is sufficient evidence to conclude that there has been an increase in union membership.
3. Reject H0. There is sufficient evidence to conclude that there has been an increase in union membership.
4. Do not reject H0. There is insufficient evidence to conclude that there has been an increase in union membership.