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 41 4 45 About right Too much 14 15 29 11 9 20 66 28 94 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. 1. Choose the correct null and alternative hypotheses. 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. 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.) 3. Compute the p-value. (Round your answer to 4 decimal places.) p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.2: Representing Data
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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
41
4
45
About right
Too much
14
15
29
11
9
20
66
28
94
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.
1. Choose the correct null and alternative hypotheses.
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.
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.)
3. Compute the p-value. (Round your answer to 4 decimal places.)
p-value
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 41 4 45 About right Too much 14 15 29 11 9 20 66 28 94 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. 1. Choose the correct null and alternative hypotheses. 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. 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.) 3. Compute the p-value. (Round your answer to 4 decimal places.) p-value
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