About 74% of MCC students believe they can achieve the American dream and about 65% of Ferris State Universtiy students believe they can achieve the American dream. Construct a 95% confidence interval for the difference in the proportions of Montcalm Community College students and Ferris State University students who believe they can achieve the American dream. There were 100 MCC students surveyed and 100 FSU students surveyed. a. With 95% confidence the difference in the proportions of MCC and FSU students who believe they can achieve the American dream is (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 100 randomly selected MCC students and 100 randomly selected FSU students were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of the difference in the proportions of MCC students and FSU students who believe they can achieve the American dream about percent will not contain the true population difference in proportions.
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.
About 74% of MCC students believe they can achieve the American dream and about 65% of Ferris State Universtiy students believe they can achieve the American dream. Construct a 95% confidence interval for the difference in the proportions of Montcalm Community College students and Ferris State University students who believe they can achieve the American dream.
There were 100 MCC students surveyed and 100 FSU students surveyed.
a. With 95% confidence the difference in the proportions of MCC and FSU students who believe they can achieve the American dream is (round to 3 decimal places) and (round to 3 decimal places).
b. If many groups of 100 randomly selected MCC students and 100 randomly selected FSU students were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of the difference in the proportions of MCC students and FSU students who believe they can achieve the American dream about percent will not contain the true population difference in proportions.
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