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 Too Little 14 About Right 10 Too Much 66 4 11 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. 33.767 Choose the correct null and alternative hypotheses: 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. Yes 19.186 5 20 11.512 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. What is the test statistic? 12.346 Total 46 Complete the following table of expected counts. Round your answers to three decimal places, if necessary. 25 15 86 No 10.698 5.814 3.488 ▼ Using your answer from the previous question, find the p-value. ▼ Part 2 of Part 3 o Part 4 o

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### Study on Public Attitudes Towards Social Spending

Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. The study focused specifically on whether knowing someone on public assistance influenced views on social spending, categorized as too little, about right, or too much. The summarized data is presented in the table below:

|                 | **Yes** | **No** | **Total** |
|-----------------|---------|--------|-----------|
| **Too Little**  | 42      | 4      | 46        |
| **About Right** | 14      | 11     | 25        |
| **Too Much**    | 10      | 5      | 15        |
| **Total**       | 66      | 20     | 86        |

#### Chi-Square Test for Independence

The study utilized a chi-square test to determine whether there is a statistically significant relationship between knowing someone on public assistance and opinions on social spending. 

**Hypotheses:**
- \( H_0 \): There is no association between knowing someone on public assistance and views on social spending.
- \( H_a \): There is an association between knowing someone on public assistance and views on social spending.

The correct hypothesis selection is:

- \( H_0 \): There is no association.

#### Expected Counts Table
The expected counts for each category were calculated, rounded to three decimal places:

|                 | **Yes** | **No**  |
|-----------------|---------|---------|
| **Too Little**  | 33.767  | 10.698  |
| **About Right** | 19.186  | 5.814   |
| **Too Much**    | 11.512  | 3.488   |

#### Results

- **Test Statistic:** 12.346

The next step involves determining the p-value using the test statistic to assess if the null hypothesis can be rejected.
Transcribed Image Text:### Study on Public Attitudes Towards Social Spending Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. The study focused specifically on whether knowing someone on public assistance influenced views on social spending, categorized as too little, about right, or too much. The summarized data is presented in the table below: | | **Yes** | **No** | **Total** | |-----------------|---------|--------|-----------| | **Too Little** | 42 | 4 | 46 | | **About Right** | 14 | 11 | 25 | | **Too Much** | 10 | 5 | 15 | | **Total** | 66 | 20 | 86 | #### Chi-Square Test for Independence The study utilized a chi-square test to determine whether there is a statistically significant relationship between knowing someone on public assistance and opinions on social spending. **Hypotheses:** - \( H_0 \): There is no association between knowing someone on public assistance and views on social spending. - \( H_a \): There is an association between knowing someone on public assistance and views on social spending. The correct hypothesis selection is: - \( H_0 \): There is no association. #### Expected Counts Table The expected counts for each category were calculated, rounded to three decimal places: | | **Yes** | **No** | |-----------------|---------|---------| | **Too Little** | 33.767 | 10.698 | | **About Right** | 19.186 | 5.814 | | **Too Much** | 11.512 | 3.488 | #### Results - **Test Statistic:** 12.346 The next step involves determining the p-value using the test statistic to assess if the null hypothesis can be rejected.
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