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.) x = 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Question
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: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.
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 40 4
То
44
About right
17
13
30
Too much
10
7
17
Total
67
24
91
Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of
Social Policy, 26, November 1990, pages 10-14.
%3D
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.
а
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 40 4 То 44 About right 17 13 30 Too much 10 7 17 Total 67 24 91 Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of Social Policy, 26, November 1990, pages 10-14. %3D 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. а
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