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8. [-/0.3 Points] DETAILS BBUNDERSTAT12 8.3.014.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 65 out of a random sample of 78 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 ox = 0.05. LA USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho:p= 0.75; Hip= 0.75 O Ho: p= 0.75; H; p> 0.75 O Ho:p= 0.75; Hi: p 5 and nq > 5. The Student's t, since np > 5 and nq> 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the Pvalue. O-3 -2 -1 0 2 3 0-3 -2 -1 0 1 2 3 )-3 -2 )-3 -2 2 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level or? At the or = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the or = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the or = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the or = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. There is sufficient evidence at the 0.05 level to conclude 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%. Need Help? Read It Master It