Question

In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 58 out of a random sample of 87 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 α = 0.05.

(a) What is the level of significance?

(b) 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.)

Answer 1

a) leval of significance, alpha = 0.05

b) Test Statistics = -1.80

c) P value = 0.0726

P value > alpha

Therefore, HO is Accepted.

This indicate that the population proportion of guests who catch pike over 20 pounds is not differentdifferent from 75%

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