- MAT FPX 2001 Assessment 4 Inferential Statistics.
Statistical Summary: Questions 1–4 | ||
| Question | Sample Proportion | Sample Size |
| #1 | 27.00% | 54 |
| #2 | 28.00% | 54 |
| #3 | 50.00% | 54 |
| #4 | 27.00% | 54 |
Confidence Intervals: Questions 1–4 | ||||
| Question | Error | Lower Limit | Upper Limit | Conclusion |
| #1 | 0.12083046 | 14.92% | 39.08% | We are 95% confident the true population proportion is between 0.149 and 0.391. |
| #2 | 0.122202019 | 15.78% | 40.22% | We are 95% confident the true population proportion is between 0.158 and 0.402. |
| #3 | 0.136082763 | 36.39% | 63.61% | We are 95% confident the true population proportion is between 0.364 and 0.636. |
| #4 | 0.12083046 | 14.92% | 39.08% | We are 95% confident the true population proportion is between 0.149 and 0.391. |
Statistical Summary: Questions 5–6 | |||
| Question | Sample Mean | Sample Std Dev | Sample Size |
| #5 | 2.564 | 0.804 | 54 |
| #6 | 2.5432 | 0.3435 | 54 |
MAT FPX 2001 Assessment 4 Inferential Statistics
Read more about our sample MAT FPX 2001 Assessment 3 Design a Focused Survey Template for complete information about this class.
Confidence Intervals: Questions 5–6 | ||||
| Question | Error | Lower Limit | Upper Limit | Conclusion |
| #5 | 0.218821084 | 2.345178916 | 2.782821084 | We are 95% confident the true population proportion is between 2.345 and 2.783. |
| #6 | 0.093488859 | 2.449711141 | 2.636688859 | We are 95% confident the true population proportion is between 2.45 and 2.637. |
Hypothesis Tests: Questions 1–6 | ||||||
| Question | Ho | Ha | Reject Ho When | Test Statistic | Decision | Summary |
| #1 | p ≥ 0.25 | p < 0.25 | z < -1.645 | -3.380295845 | Do not Reject Ho | There is not sufficient statistical evidence to show the proportion of currently 0.25 is doing physical acttivity everyday. |
| #2 | p ≤ 0.30 | p > 0.30 | z > 1.645 | -3.23332646 | Do not Reject Ho | There is not sufficient statistical evidence to show the proportion of 0.25 physical activity can improve stress. |
| #3 | p = 0.45 | p ≠ 0.45 | z < -1.96 or z > 1.96 | -1.5 | Do not Reject Ho | There is not sufficient statistical evidence to show the proportion of 0.45 compiled a physical activity plan. |
| #4 | p ≥ 0.32 | p < 0.32 | z < -1.645 | -8.145870119 | Reject Ho | There is not sufficient statistical evidence to show the proportion of 0.32 physical activity helped improve mental health condition. |
| #5 | μ = 2.79 | μ ≠ 2.79 | z < -1.96 or z > 1.96 | -131.9434102 | Reject Ho | There is sufficient statistical evidence to show the mean of number of days for exercise is less than 2.79 |
| #6 | μ ≤ 2.05 | μ > 2.05 | z > 72.65 | -2491.351416 | Reject Ho | There is sufficient statistical evidence to show the mean of number of hours to get results is less than 2.05. |
Rejection criteria: | |||
| Left-tailed test, reject Ho when z < -1.645. | |||
| Right-tailed test, reject Ho when z > 1.645. | |||
| Two-tailed test, reject Ho when z < -1.96 or z > 1.96. |