11) In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05.   a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p < 0.75H0: p < 0.75; H1: p = 0.75    H0: p ≠ 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p > 0.75   b) What sampling distribution will you use?  The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5.    The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5.   what is the sample test statistic, round answer to two decimal places?   c) find the P-value of test statistic, round answer to four decimal places

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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.