Question

A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percentage is greater and runs a hypothesis test. What are the hypothesis statements for this situation?

A. H0: p < 0.35; Ha: p = 0.35

B. H0: p = 0.35; Ha: p < 0.35

C. H0: p > 0.35 ; Ha: p = 0.35

D. H0: p = 0.35; Ha: p > 0.35

Answer 1

`(d)`
`H_o: p = 0.35`
`H_a: p > 0.35`

Explanation:

Given

`\mu = 35\%`

Required

The hypothesis statements

First claim: 35% will support a strike.

This represents the null hypothesis

`H_o: p = 0.35`

Second claim: A greater percentage will support the strike.

This represents the alternate hypothesis

`H_a: p > 0.35`