c) Find the test statistic or test value and give the corresponding p-value Proportion Stat: (Answers from StatCrunch) T-Stat: 0.056517323 P-value: 0.5223 Variable Sample Mean Std. Err. DF T-Stat varl Critical t P-value 3.0322581 0.57076419 30 0.056517323 -1.6972609 0.5223 d) Based on your results, state whether you reject or fail to reject the null hypothesis. Based on our results, we reject/fail to reject the null hypothesis. Lastly, interpret your conclusion in the context of the application. Model sentence: At the α = _0.05 level, we (reject/fail to reject) the null hypothesis and conclude that the sample data (are/are not) statistically significant. There is sufficient/insufficient evidence to conclude that (state alternative hypothesis)

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What is the state alternative hypothesis? thanks

### Explanation of Test Statistic and Results

#### c) Finding the Test Statistic and P-Value
**Proportion Stat:**
- **Answers from StatCrunch:**
  - **T-Stat:** 0.056517323
  - **P-value:** 0.5223

A table provides the following data:

| Variable | Sample Mean | Std. Err.  | DF | T-Stat      | Critical t | P-value |
|----------|-------------|------------|----|-------------|------------|---------|
| var1     | 3.0322581   | 0.57076419 | 30 | 0.056517323 | -1.6972609 | 0.5223  |

#### d) Conclusion on Null Hypothesis
- **Statement:** Based on our results, we reject/fail to reject the null hypothesis.

#### e) Interpretation of Conclusion
- **Model Sentence:** At the α = 0.05 level, we (reject/fail to reject) the null hypothesis and conclude that the sample data (are/are not) statistically significant. There is sufficient/insufficient evidence to conclude that ___(state alternative hypothesis)________________.

#### Graph
A basic line graph illustrates a normal distribution curve, indicating the distribution of data with reference to the statistical test. This visual aids in understanding how the test statistic relates to the critical region.
Transcribed Image Text:### Explanation of Test Statistic and Results #### c) Finding the Test Statistic and P-Value **Proportion Stat:** - **Answers from StatCrunch:** - **T-Stat:** 0.056517323 - **P-value:** 0.5223 A table provides the following data: | Variable | Sample Mean | Std. Err. | DF | T-Stat | Critical t | P-value | |----------|-------------|------------|----|-------------|------------|---------| | var1 | 3.0322581 | 0.57076419 | 30 | 0.056517323 | -1.6972609 | 0.5223 | #### d) Conclusion on Null Hypothesis - **Statement:** Based on our results, we reject/fail to reject the null hypothesis. #### e) Interpretation of Conclusion - **Model Sentence:** At the α = 0.05 level, we (reject/fail to reject) the null hypothesis and conclude that the sample data (are/are not) statistically significant. There is sufficient/insufficient evidence to conclude that ___(state alternative hypothesis)________________. #### Graph A basic line graph illustrates a normal distribution curve, indicating the distribution of data with reference to the statistical test. This visual aids in understanding how the test statistic relates to the critical region.
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