Self-Review 17-4 A social scientist sampled 140 people and classified them according to income level and whether or not they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the .05 significance level. Income Low Middle High Total 46 28 21 95 Played Did not play 14 12 19 45 Total 60 40 40 140 (a) What is this table called? (b) State the null hypothesis and the alternate hypothesis. (c) What is the decision rule? (d) Determine the value of chi-square. (e) Make a decision on the null hypothesis. Interpret the result.

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**Self-Review 17-4**

A social scientist sampled 140 people and classified them according to income level and whether or not they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the 0.05 significance level.

|              | Income          |          |            |        |
|--------------|-----------------|----------|------------|--------|
|              | Low             | Middle   | High       | Total  |
| Played       | 46              | 28       | 21         | 95     |
| Did not play | 14              | 12       | 19         | 45     |
| Total        | 60              | 40       | 40         | 140    |

**Questions:**

(a) What is this table called?

(b) State the null hypothesis and the alternative hypothesis.

(c) What is the decision rule?

(d) Determine the value of chi-square.

(e) Make a decision on the null hypothesis. Interpret the result.
Transcribed Image Text:**Self-Review 17-4** A social scientist sampled 140 people and classified them according to income level and whether or not they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the 0.05 significance level. | | Income | | | | |--------------|-----------------|----------|------------|--------| | | Low | Middle | High | Total | | Played | 46 | 28 | 21 | 95 | | Did not play | 14 | 12 | 19 | 45 | | Total | 60 | 40 | 40 | 140 | **Questions:** (a) What is this table called? (b) State the null hypothesis and the alternative hypothesis. (c) What is the decision rule? (d) Determine the value of chi-square. (e) Make a decision on the null hypothesis. Interpret the result.
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