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QUESTION 7 The trustee of a company's pension plan has solicited the opinions of a sample of the company's employees about a proposed revision of the plan. The breakdown of responses is shown in the accompanying table: | | blue-collar worker | white-collar worker | manager | total | | :--- | :--- | :--- | :--- | :--- | | For | 67 | 35 | 8 | 110 | | Against | 63 | 20 | 7 | 90 | | | 130 | 55 | 15 | 200 | The company would like to know if the responses (for or against the proposed revision) differ among the three groups of workers. What are the null and alternative hypotheses? Ho: P for - P against = 0 versus Ha: Pfor - P against > 0 Ho: ?for - ?against = 0 versus Ha: ?for - ?against ? 0 Ho: P for - P against = 0 versus Ha: Pfor - P against ? 0 Ho: the workers' response is independent of what type of worker they are. versus Ha: the workers' response depends on what type of worker they are.

          QUESTION 7

The trustee of a company's pension plan has solicited the opinions of a sample of the company's employees about a proposed revision of the plan. The breakdown of responses is shown in the accompanying table:

| | blue-collar worker | white-collar worker | manager | total |
| :--- | :--- | :--- | :--- | :--- |
| For | 67 | 35 | 8 | 110 |
| Against | 63 | 20 | 7 | 90 |
| | 130 | 55 | 15 | 200 |

The company would like to know if the responses (for or against the proposed revision) differ among the three groups of workers. What are the null and alternative hypotheses?

Ho: P for - P against = 0 versus Ha: Pfor - P against > 0
Ho: ?for - ?against = 0 versus Ha: ?for - ?against ? 0
Ho: P for - P against = 0 versus Ha: Pfor - P against ? 0
Ho: the workers' response is independent of what type of worker they are.
versus
Ha: the workers' response depends on what type of worker they are.

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QUESTION 7

The trustee of a company's pension plan has solicited the opinions of a sample of the company's employees about a proposed revision of the plan. The breakdown of responses is shown in the accompanying table:

| | blue-collar worker | white-collar worker | manager | total |
| :— | :— | :— | :— | :— |
| For | 67 | 35 | 8 | 110 |
| Against | 63 | 20 | 7 | 90 |
| | 130 | 55 | 15 | 200 |

The company would like to know if the responses (for or against the proposed revision) differ among the three groups of workers. What are the null and alternative hypotheses?

Ho: P for - P against = 0 versus Ha: Pfor - P against > 0
Ho: ?for - ?against = 0 versus Ha: ?for - ?against ? 0
Ho: P for - P against = 0 versus Ha: Pfor - P against ? 0
Ho: the workers' response is independent of what type of worker they are.
versus
Ha: the workers' response depends on what type of worker they are.

Added by Raymond T.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jon Southam

06/04/2022

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The trustee of a company's pension plan has solicited the opinions of a sample of the company's employees about a proposed revision of the plan. The breakdown of responses is shown in the accompanying table: blue-collar worker | white-collar worker | manager | total --- | --- | --- | --- For | 67 | 35 | 8 | 110 Against | 63 | 20 | 7 | 90 | 130 | 55 | 15 | 200 The company would like to know if the responses (for or against the proposed revision) differ among the three groups of workers. What are the null and alternative hypotheses? Ho: P for - P against = 0 versus Ha: P for - P against > 0 Ho: μfor - μagainst = 0 versus Ha: μfor - μagainst ≠ 0 Ho: P for - P against = 0 versus Ha: P for - P against ≠ 0 Ho: the workers' response is independent of what type of worker they are. versus Ha: the workers' response depends on what type of worker they are.

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00:01 All right, so the trustee of the company's pension plan has solicited the opinions of a sample of the company's employees about a proposed revision to the plan.

00:08 And the breakdown of responses are shown here.

00:12 And we want to know we were looking for the null and alternative hypotheses.

00:18 And so because the company would like to know if the responses differ, so it tells us we're looking at an alternative hypothesis that has a not equal sign.

00:31 Because we're looking for different.

00:32 We don't care.

00:34 We're not concerned whether it's up or down.

00:36 We just care if it's, if it's, they're different.

00:39 They're not equal.

00:40 And so what we're looking for is the proportion.

00:48 Because you have to kind of read this and piece it together what they're looking for.

00:52 The company would like to know if the responses differ among the three groups.

00:57 So this is just a sample, but the sample is supposed to represent a given proportion.

01:04 And so that is why we'll have the null be that p4 equals, probability of against, and the alternative would be that, well, they're not equal, so pf is not equal to pa.

01:25 But you might be saying, hey guy, those are different than what we have here.

01:29 Well, yes, but they are actually similar.

01:32 Let me show you why...

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