Background: Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. In particular, the study tried to determine if knowing someone on public assistance (yes, no) affected one's views on social spending (too little, about right, too much). The data from the study is summarized in the table below. Too little About right Too much Total Yes No 41 7 16 14 9 6 66 Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of Social Policy, 26, November 1990, pages 10-14. Directions: Conduct a chi-square test for independence to determine if the association between knowing someone on public assistance and views on social spending is statistically significant. Total 48 30 15 27 93 1. Choose the correct null and alternative hypotheses. O Ho: There is an association between knowing someone on public assistance and views on social spending. H. There is no association between knowing someone on public assistance and views on social spending. Ho: There is no association between knowing someone on public assistance and views on social spending. H. There is an association between knowing someone on public assistance and views on social spending. 2. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 3 decimal places). Too little About right Too much p-value= Yes No Compute the value of the test statistic. (Round your answer to 2 decimal places.) x² 3. Compute the p-value. (Round your answer to 4 decimal places.) 4. Interpret the results of the significance test. O The p-value provides little evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is not statistically significant. From a practical perspective, a person who knows someone on public assistance is 2.4 times more likely to believe that too little is spent on social needs. O The p-value provides strong evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is statistically significant. From a practical perspective, a person who knows someone on public assistance is 2.4 times more likely to believe that too little is spent on social needs.
Background: Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. In particular, the study tried to determine if knowing someone on public assistance (yes, no) affected one's views on social spending (too little, about right, too much). The data from the study is summarized in the table below. Too little About right Too much Total Yes No 41 7 16 14 9 6 66 Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of Social Policy, 26, November 1990, pages 10-14. Directions: Conduct a chi-square test for independence to determine if the association between knowing someone on public assistance and views on social spending is statistically significant. Total 48 30 15 27 93 1. Choose the correct null and alternative hypotheses. O Ho: There is an association between knowing someone on public assistance and views on social spending. H. There is no association between knowing someone on public assistance and views on social spending. Ho: There is no association between knowing someone on public assistance and views on social spending. H. There is an association between knowing someone on public assistance and views on social spending. 2. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 3 decimal places). Too little About right Too much p-value= Yes No Compute the value of the test statistic. (Round your answer to 2 decimal places.) x² 3. Compute the p-value. (Round your answer to 4 decimal places.) 4. Interpret the results of the significance test. O The p-value provides little evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is not statistically significant. From a practical perspective, a person who knows someone on public assistance is 2.4 times more likely to believe that too little is spent on social needs. O The p-value provides strong evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is statistically significant. From a practical perspective, a person who knows someone on public assistance is 2.4 times more likely to believe that too little is spent on social needs.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Analyzing Public Attitudes Towards Social Spending: Chi-Square Test for Independence
#### Background:
In 1988, Morris Saldov conducted a study in Eastern and Central Newfoundland to examine public attitudes toward social spending. The study specifically looked at the relationship between knowing someone on public assistance (yes or no) and one's views on social spending (too little, about right, too much). The summarized data from the study is presented in the table below.
| | Yes | No | Total |
|----------------|-----|----|-------|
| Too little | 11 | 37 | 48 |
| About right | 4 | 14 | 18 |
| Too much | 2 | 25 | 27 |
| Total | 17 | 76 | 93 |
*Source: Morris Saldov, “Public Attitudes to Social Spending in Newfoundland,” Canadian Review of Social Policy, 26, November 1990, pages 10-14.*
#### Directions:
Conduct a chi-square test for independence to determine if there is a statistically significant association between knowing someone on public assistance and views on social spending.
1. **Formulate the Null and Alternative Hypotheses:**
- \(H_0\): There is no association between knowing someone on public assistance and views on social spending.
- \(H_a\): There is an association between knowing someone on public assistance and views on social spending.
2. **Compute the Test Statistic:**
Complete the following table of expected counts (round your answers to 3 decimal places):
| | Yes | No |
|----------------|--------|--------|
| Too little | | |
| About right | | |
| Too much | | |
Compute the value of the test statistic (round your answer to 2 decimal places):
- \(\chi^2 = \_\_\_\_\)
3. **Compute the p-value:**
Round your answer to 4 decimal places:
- \( p-value = \_\_\_\_\)
4. **Interpret the Results of the Significance Test:**
- \( \text{ } \)
- The \(p\)-value provides little evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes toward social spending is not statistically significant. Practically
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