a) How large a sample do you need to guarantee that a 95% confidence interval is no wider than 0.1? b) Suppose they randomly poll 100 students, and 20 students are in favor of continuing remote classes and 80 would prefer to have on-campus classes next semester. Provide a 99% confidence interval on the proportion of students that favor continuing remote classes. c) What can you say about a test of hypothesis that the students are evenly split about resuming in-person classes next semester at a significance level of 0.01 (no calculations needed).
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A college registrar wants to find out if current students are in favor of continuing remote learning through the next semester. They conduct a survey:
a) How large a sample do you need to guarantee that a 95% confidence interval is no wider than 0.1?
b) Suppose they randomly poll 100 students, and 20 students are in favor of continuing remote classes and 80 would prefer to have on-campus classes next semester. Provide a 99% confidence interval on the proportion of students that favor continuing remote classes.
c) What can you say about a test of hypothesis that the students are evenly split about resuming in-person classes next semester at a significance level of 0.01 (no calculations needed).
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