**Title: Student Enrollment Preferences in Biology Course Sections****Introduction:**This dataset, adapted from Johnson (1980), explores the preferences of students for different sections of a biology course offered in Fall 2016. Each semester, the course is divided into seven sections, each taught at varying times and by different instructors. The aim is to determine if there is a statistically significant preference for certain sections of the course.**Dataset Overview:**The table below summarizes the number of students enrolled in each of the seven sections:| Section | 1 | 2 | 3 | 4 | 5 | 6 | 7 ||---------|----|----|----|----|----|----|----|| Number of Students | 18 | 12 | 25 | 23 | 8 | 19 | 14 |**Hypothesis Testing:**To determine if students have a preference for certain sections, perform a hypothesis test with a significance level of α = 0.05. Follow these five steps for hypothesis testing:1. **State the Hypotheses:** - Null Hypothesis (H0): There is no preference among the different sections; the distribution of students across sections is uniform. - Alternative Hypothesis (H1): There is a preference for certain sections; the distribution is not uniform.2. **Choose the Significance Level:** - Significance level (α) = 0.053. **Calculate the Test Statistic:** - Use a chi-square test for goodness of fit since we are comparing observed frequencies with expected frequencies.4. **Determine the Critical Value/Decision Rule:** - Critical value from chi-square distribution table based on degrees of freedom (df = n - 1, where n = number of sections).5. **Make the Decision:** - Compare the calculated chi-square statistic to the critical value. If the chi-square statistic exceeds the critical value, reject the null hypothesis.Through this method, educators and researchers can assess whether specific sections of the course are more popular, which could inform scheduling and instructor assignment decisions in future semesters.

It is required to test whether the students have a preference for certain sections of the biology…

Answered: (adapted from Johnson, 1980) Each…

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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