A sociologist conducted a study on heterosexual couples and IQ scores. The sociologies wondered if on average the husband's IQ is different from the wife's IQ? Ten heterosexual couples were given IQ tests. The results of the lQ Test are shown in the table below. IQ Scores for Heterosexual Couples Husband 86 101 100 93 115 96 104 114 98 93 Wife 87 109 102 106 116 109 121 122 98 104 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v H: Select an answer v Select an answer v Select an answer v b. The test statistic ? v = (please round your answer to 3 decimal places.) c. The p-value = (Please round your answer to 4 decimal places.) d. The p-value is ? a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean IQ score for husbands is not the same as the population mean IQ score for wives O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the ten husbands' IQ scores are not the same on average than the ten wives' IQ scores. O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean IQ score for husbands is equal to the population mean IQ score for wives. O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean IQ score for husbands is not the same as the population mean IO score for wives

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A sociologist conducted a study on heterosexual couples and IQ scores. The sociologist wondered if on average the husband’s IQ is different from the wife’s IQ? Ten heterosexual couples were given IQ tests. The results of the IQ Test are shown in the table below.

**IQ Scores for Heterosexual Couples**

|         | Husband | Wife  |
|---------|---------|-------|
| Couple 1| 86      | 87    |
| Couple 2| 101     | 109   |
| Couple 3| 100     | 102   |
| Couple 4| 93      | 106   |
| Couple 5| 115     | 116   |
| Couple 6| 96      | 119   |
| Couple 7| 104     | 122   |
| Couple 8| 114     | 98    |
| Couple 9| 98      | 98    |
| Couple 10| 93     | 104   |

Assume a Normal distribution. What can be concluded at the α = 0.10 level of significance?

For this study, we should use [Select an answer]

a. The null and alternative hypotheses would be:

- \( H_0: \) [Select an answer] [Select an answer] [Select an answer]
- \( H_1: \) [Select an answer] [Select an answer] [Select an answer]

b. The test statistic \( t = \) _______ (please round your answer to 3 decimal places.)

c. The p-value = _______ (Please round your answer to 4 decimal places.)

d. The p-value is [ ] α

e. Based on this, we should [Select an answer] the null hypothesis.

f. Thus, the final conclusion is that …

- [ ] The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean IQ score for husbands is not the same as the population mean IQ score for wives.

- [ ] The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the ten husbands’ IQ scores are not the same on average than the ten wives’ IQ scores.

- [ ] The results are statistically significant at α = 0.10, so there is statistically significant evidence to conclude that the population mean IQ score for husbands is equal to the
Transcribed Image Text:A sociologist conducted a study on heterosexual couples and IQ scores. The sociologist wondered if on average the husband’s IQ is different from the wife’s IQ? Ten heterosexual couples were given IQ tests. The results of the IQ Test are shown in the table below. **IQ Scores for Heterosexual Couples** | | Husband | Wife | |---------|---------|-------| | Couple 1| 86 | 87 | | Couple 2| 101 | 109 | | Couple 3| 100 | 102 | | Couple 4| 93 | 106 | | Couple 5| 115 | 116 | | Couple 6| 96 | 119 | | Couple 7| 104 | 122 | | Couple 8| 114 | 98 | | Couple 9| 98 | 98 | | Couple 10| 93 | 104 | Assume a Normal distribution. What can be concluded at the α = 0.10 level of significance? For this study, we should use [Select an answer] a. The null and alternative hypotheses would be: - \( H_0: \) [Select an answer] [Select an answer] [Select an answer] - \( H_1: \) [Select an answer] [Select an answer] [Select an answer] b. The test statistic \( t = \) _______ (please round your answer to 3 decimal places.) c. The p-value = _______ (Please round your answer to 4 decimal places.) d. The p-value is [ ] α e. Based on this, we should [Select an answer] the null hypothesis. f. Thus, the final conclusion is that … - [ ] The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the population mean IQ score for husbands is not the same as the population mean IQ score for wives. - [ ] The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the ten husbands’ IQ scores are not the same on average than the ten wives’ IQ scores. - [ ] The results are statistically significant at α = 0.10, so there is statistically significant evidence to conclude that the population mean IQ score for husbands is equal to the
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