**Hypothesis Testing: Morning Section vs. Afternoon Section Pass Rate****Introduction:**A university department chair hypothesizes that the afternoon section of a large survey class has a consistently lower proportion of students passing compared to the morning section. To test this, a random sample of student records from each section was analyzed. The results are as follows:**Data Collected:**| Section | Successes | Observations | Proportion (p-hat) ||-------------------|-----------|--------------|--------------------|| Morning Section | 346 | 400 | 0.865 || Afternoon Section | 426 | 500 | 0.852 |*Note*: The table shows the number of successes (students passing) and total observations for each section, along with the calculated sample proportion of passes.**Statistical Analysis:**Additional statistical measures were used to test the hypothesis:- **Confidence Level:** 95%- **z-Score:** -0.5548- **p-Value:** 0.2912**Graphical Representation:**The provided bell curve graph represents the distribution of the data with:- The x-axis ranging from -3 to 3 (standard deviations).- A highlighted region indicating the area under the curve corresponding to the calculated z-score of -0.5548, which falls within the confidence interval.**Further Analysis:**1. **Sample Sizes:** - Morning section samples: $ n_1 = 400 $ - Afternoon section samples: $ n_2 = 500 $2. **Sample Proportions:** - Proportion for morning section samples: $ \hat{p}_1 = 0.865 $ - Proportion for afternoon section samples: $ \hat{p}_2 = 0.852 $**Conclusion:**Given the p-value of 0.2912, which is greater than the significance level of 0.05, there is insufficient evidence to reject the null hypothesis. Therefore, the data do not support the chair's belief that the afternoon section has a consistently lower proportion of students passing compared to the morning section.To further explore these results, check out the accompanying interactive elements and exercises available on this educational platform!

Answered: A university department chair believes…

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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Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
A college administrator is interested in determining the proportion of students who receive some sort of financial aid. Instead of examining the records for all students, the administrator randomly draws 120 students and finds that 48 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid.
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Several years ago, 45% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,025 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,025 surveyed, 484 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
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