In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounos. Suppose that last summer 56 out of a random sample of 82 quests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population preportion of quests who catch pike over 20 pounds is differene from 75% (either higher or lower)? Use a-0.05. (a) What is the level of signiticance? State the nuli and alternate hypocheses. O Hy p0.75, M:p- 0.75 Hp-0.75; H:p.0.75 O Hy: p-0.75; H,p> 0.75 O Hy: pe0.75, N,ip - 0.75 O H: p- 0.75; H: p< 0.75 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The standand normal, since no <5 and ng < 5. * The standard normal, since np> 5 and ng > 5. The Studene's t. since np S and ng< 5. What is the value of the sample best statistic? (Round your answer to two decimal places.) 1.40 (e) Find the Pvalue of the test statistic. CRound your answer to four decimal piaces.) 0.1607 Sketch the sampling distribution and show the area coresponding to the Pvalue. -3 -2 -1 -3 -2 1 2 2 -2 -1 2 (4) Based on your answers in parts (a) to (e), will you reject or fail to regect the null hypothesis? Are the data statistically significant at level a? * A: the a-0.0s level, we reject the nul hypothesis and conclude the data are statistically significant. At the a-0.05 level, we reject the nul hypothesis and conclude the data are not statistically significant At the a-0.05 level, we fail to reject the null hypothesis and conciude the data are statisticaly significant. At the a-0.05 level, we fail to reject the null hypothesis and conciude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O There is suticient evidence at the 0.05 level to condude that the true proportion of guests who catch pike over 20 pounds differs from 75%. * There is insufficient evidence at the 0.05 level to conclude that the true proportion of guests who catch pike over 20 pounds differs from 75.

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 re…

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.