An institute reported that 67​%of its members indicate that lack of ethical culture within financial firms has contributed most to the lack of trust in the financial industry. Suppose that you select a sample of 100 institute members. Complete parts ​(a) through ​(d) below.   a. What is the probability that the sample percentage indicating that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry will be between 58​% and 74​%? ​(Type an integer or decimal rounded to four decimal places as​ needed.)   b. The probability is 80​% that the sample percentage will be contained within what symmetrical limits of the population​ percentage?   The probability is 80​% that the sample percentage will be contained above nothing​% and below nothing​%. ​ (Type integers or decimals rounded to one decimal place as​ needed.)   c. The probability is 97​% that the sample percentage will be contained within what symmetrical limits of the population​ percentage?

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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.