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 42 7 49 15 11 26 97 16 66 25 91 Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of Social Policy, 26, November 1990, pages 10-14. Total 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. Ha There is an association between knowing someone on public assistance and views on social spending. O Ho: There is an association between knowing someone on public assistance and views on social spending. Ha There is no association between knowing someone on public assistance and views on social spending. Too little 2. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 3 decimal places). About right Too much 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.) p-value= 4. Interpret the results of the significance test. 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 2.3 te likely to believe that too little is spent on social needs

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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.
Too little
About right
Too much
Total
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.
Yes
No
No
42 7
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.
Ha There is an association between
knowing someone on public assistance and
views on social spending.
Too
little
Total
49
15 11
26
9
7
16
66 25 91
O Ho: There is an association between
knowing someone on public assistance and
views on social spending.
Ha There is no association between
knowing someone on public assistance and
views on social spending.
About
right
2. Compute the test statistic.
Complete the following table of expected
counts. (Round your answers to 3 decimal
places).
Too
much
x² =
p-value=
Yes
Compute the value of the test statistic. (Round
your answer to 2 decimal places.)
No
3. Compute the p-value. (Round your answer to 4
decimal places.)
4. Interpret the results of the significance test.
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
2.3 times more likely to believe that too
little is spent on social needs.
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. Too little About right Too much Total 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. Yes No No 42 7 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. Ha There is an association between knowing someone on public assistance and views on social spending. Too little Total 49 15 11 26 9 7 16 66 25 91 O Ho: There is an association between knowing someone on public assistance and views on social spending. Ha There is no association between knowing someone on public assistance and views on social spending. About right 2. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 3 decimal places). Too much x² = p-value= Yes Compute the value of the test statistic. (Round your answer to 2 decimal places.) No 3. Compute the p-value. (Round your answer to 4 decimal places.) 4. Interpret the results of the significance test. 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 2.3 times more likely to believe that too little is spent on social needs.
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