In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 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. H 0:p = 0.75;H 1:p > 0.75H 0:p ≠ 0.75;H 1:p = 0.75H 0:p H 1:p = 0.75H 0:p = 0.75;H 1:p ≠ 0.75H 0:p = 0.75;H 1:p (b) What sampling distribution will you use? The Student'st, sincenp > 5 andnq > 5.The standard normal, sincenp > 5 andnq > 5. The Student'st, sincenp nq np nq What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find theP-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to theP-value.

In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch...

In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 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.

H
₀:p = 0.75;H
₁:p > 0.75H
₀:p ≠ 0.75;H
₁:p = 0.75H
₀:p <>H
₁:p = 0.75H
₀:p = 0.75;H
₁:p ≠ 0.75H
₀:p = 0.75;H
₁:p <>

(b)

What sampling distribution will you use?

The Student'st, sincenp > 5 andnq > 5.The standard normal, sincenp > 5 andnq > 5. The Student'st, sincenp < 5="">nq < 5.the="" standard="" normal,="">np < 5="">nq <>

What is the value of the sample test statistic? (Round your answer to two decimal places.)

(c)

Find theP-value of the test statistic. (Round your answer to four decimal places.)

Sketch the sampling distribution and show the area corresponding to theP-value.

Jun 03, 2022

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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch...

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