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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 T-Stat Critical t P-value 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. Variable Sample Mean Std. Err. DF 3.0322581 varl e) Lastly, interpret your conclusion in the context of the application. Model sentence: At the a = _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)

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 T-Stat Critical t P-value 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. Variable Sample Mean Std. Err. DF 3.0322581 varl e) Lastly, interpret your conclusion in the context of the application. Model sentence: At the a = _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)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Statistical Analysis Using Proportion Stat (StatCrunch Results):** ### Calculating Test Statistic and p-value In this analysis, we conduct a statistical test to determine the test value and corresponding p-value. - **T-Statistic:** 0.056517323 - **P-value:** 0.5223 A table summarizes additional statistical 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 | ### Conclusion Based on Results **d) Decision on Null Hypothesis:** Based on our results, we fail to reject the null hypothesis. **e) Interpretation:** Model sentence: At the α = 0.05 level, we fail to reject the null hypothesis and conclude that the sample data are not statistically significant. There is insufficient evidence to conclude that _______ (state alternative hypothesis) _______. ### Graphical Representation A bell-shaped curve is depicted, representing the distribution of the test statistic, with the critical region not reached by the observed T-statistic value, indicating a failure to reject the null hypothesis at the specified significance level.
Transcribed Image Text:**Statistical Analysis Using Proportion Stat (StatCrunch Results):** ### Calculating Test Statistic and p-value In this analysis, we conduct a statistical test to determine the test value and corresponding p-value. - **T-Statistic:** 0.056517323 - **P-value:** 0.5223 A table summarizes additional statistical 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 | ### Conclusion Based on Results **d) Decision on Null Hypothesis:** Based on our results, we fail to reject the null hypothesis. **e) Interpretation:** Model sentence: At the α = 0.05 level, we fail to reject the null hypothesis and conclude that the sample data are not statistically significant. There is insufficient evidence to conclude that _______ (state alternative hypothesis) _______. ### Graphical Representation A bell-shaped curve is depicted, representing the distribution of the test statistic, with the critical region not reached by the observed T-statistic value, indicating a failure to reject the null hypothesis at the specified significance level.
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