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...

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

H_a: p <>

H₀: p = 0.115

H_a: p ≠ 0.115

H₀: p ≤ 0.115

H_a: p > 0.115

H₀: p <>

H_a: p ≥ 0.115

H₀: p > 0.115

H_a: p ≤ 0.115

(b)

If the sample results show that 42 of the workers belonged to unions, what is thep-value for your hypothesis test?

Find the value of the test statistic. (Round your answer to two decimal places.)

( )

Find thep-value. (Round your answer to four decimal places.)

p-value = ( )

(c)

At ? = 0.05,
what is your conclusion?

Do not rejectH
₀. There is insufficient evidence to conclude that there has been an increase in union membership.

RejectH
₀. There is sufficient evidence to conclude that there has been an increase in union membership.

RejectH
₀. There is insufficient evidence to conclude that there has been an increase in union membership.

Do not rejectH
₀. There is sufficient evidence to conclude that there has been an increase in union membership.

Jun 03, 2022

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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...

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