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. Yes No Total 5 15 Too little 42 47 About right 17 32 Too much 6 15 Total 68 26 94 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. 1. Choose the correct null and alternative hypotheses. o Hạ: 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. o Hạ: There is an association between knowing someone on public assistance and views on social spending. Ħ, There is no 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 2 decimal places). Yes No Too little About right Too much Compute the value of the test statistic. (Round your answer to 2 decimal places.) 3. Compute the p-value. (Round your answer to 4 decimal places.) p-value - 4. Interpret the results of the significance test. Use a signifcance level of alpha = 0.05 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. O The p-value provides little evidence against the nul hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is not statistically significant.

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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.
Yes
No
Total
Too little
42
5
47
About right
17
15
32
Too much
9
6
15
Total
68
26
94
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.
1. Choose the correct null and alternative hypotheses.
O 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.
o H: 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.
2. Compute the test statistic.
Complete the following table of expected counts. (Round your answers to 2 decimal places).
Yes
No
Too little
About right
Too much
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
3. Compute the p-value. (Round your answer to 4 decimal places.)
P-value =
4. Interpret the results of the significance test. Use a signifcance level of alpha = 0.05
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.
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.
Transcribed Image Text: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. Yes No Total Too little 42 5 47 About right 17 15 32 Too much 9 6 15 Total 68 26 94 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. 1. Choose the correct null and alternative hypotheses. O 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. o H: 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. 2. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 2 decimal places). Yes No Too little About right Too much Compute the value of the test statistic. (Round your answer to 2 decimal places.) 3. Compute the p-value. (Round your answer to 4 decimal places.) P-value = 4. Interpret the results of the significance test. Use a signifcance level of alpha = 0.05 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. 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.
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