A 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. Test the claim that there is no dependence on knowing someone on public assistance (yes, no) affected one’s views on social spending (too little, about right, too much)at the significant level of αα = 0.06. The following table summarizes the data. Round expected values to one decimal place.
| Knowing Someone on Public Assistance | too little (Observed) | too little (Expected Value) | about right (Observed) | about right (Expected Value) | too much (Observed) | too much (Expected Value) | Row Total |
|---|---|---|---|---|---|---|---|
| Yes | 46 | 41 | 33 | 120 | |||
| No | 55 | 26 | 21 | 102 | |||
| Column Total | 101 | 67 | 54 | 222 |
H: Hypotheses
Ho:Ho:Select an answer View on Social Spending Opinion too much too little and Select an answer Knowing Someone on Public Assistance Opinion too much about right are Select an answer independent dependent
Ha:Ha:Select an answer View on Social Spending Opinion too much too little and Select an answer Knowing Someone on Public Assistance Opinion too much about right are Select an answer independent dependent
Original Claim: Select an answer H₀ H₁
Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)
Test Statistic χ2χ2 = (Round to three decimal places.)
P-value = (Round to four decimal places.)
Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ .
Conclusion:
There Select an answer is is not significant evidence to conclude that Select an answer View on Social Spending Opinion too much too little and Select an answer Knowing Someone on Public Assistance Opinion too much about right are Select an answer independent dependent .
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