Background: Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examinepublic attitudes towards social spending. In particular, the study tried to determine if knowing someone onpublic assistance (yes, no) affected one's views on social spending (too little, about right, too much). The datafrom the study is summarized in the table below.YesNoTotalToo little42547About right171532Too much9615Total682694Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of SocialPolicy, 26, November 1990, pages 10-14.Directions: Conduct a chi-square test for independence to determine if the association between knowingsomeone 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 socialspending.H, There is an association between knowing someone on public assistance and views on socialspending.o H: There is an association between knowing someone on public assistance and views on socialspending.H, There is no association between knowing someone on public assistance and views on socialspending.2. Compute the test statistic.Complete the following table of expected counts. (Round your answers to 2 decimal places).YesNoToo littleAbout rightToo muchCompute 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 = 0.05O The p-value provides strong evidence against the null hypothesis. The association betweenknowing someone on public assistance and attitudes towards social spending is statisticallysignificant.O The p-value provides little evidence against the null hypothesis. The association between knowingsomeone on public assistance and attitudes towards social spending is not statistically significant.

Chi-square test for independence. Given data :

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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.2: Representing Data

Problem 22PFA

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