In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern plke over 20 pounds. Suppose that last summer 60 out of a random sample of 87 guests did, In fact, catch northern pike welghing 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 a = 0.05. (a) what is the level of significance? state the null and alternate hypotheses. O Hoi p-0.75; H, p= 0.75 O Hi p = 0.75; H,: p< 0.75 O Hgi p= 0.75; H p- 0.75 O Ho: p< 0.75; Hip- 0.75 O Ha: p= 0.75; Hi p> 0.75 (b) what samplng distribution will you use? O The standard normal, since np > 5 and ng > 5 O The standard normal, since <5 and ng S O The Student's t. since no>5 and ng > 5. O The Student's t, since np <5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the Pvalue of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area coresponding to the Pvalue.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northem pike over 20 pounds. Suppose that last summer 60 out of a random sample of 87 guests did, In fact, catch northern pike welghing over 20 pounds. Does this Indicate that the population proportion of quests
who catch pike over 20 pounds Is different from 75% (elther higher or lower)? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: P- 0.75; HP= 0.75
O Hoi P= 0.75; H: p< 0.75
O Ha: p = 0.75; H: p- 0.75
O Ho: p< 0.75; Hip- 0.75
O Ho: P= 0.75; H: p> 0.75
(b) what sampling distribution will you use?
O The standard normal, since np > 5 and ng > 5.
O The standard normal, since np < 5 and ng <s
O The Student's t. since no >5 and ng > 5.
O The Student's t. since np <5 and ng < 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.
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Transcribed Image Text:In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northem pike over 20 pounds. Suppose that last summer 60 out of a random sample of 87 guests did, In fact, catch northern pike welghing over 20 pounds. Does this Indicate that the population proportion of quests who catch pike over 20 pounds Is different from 75% (elther higher or lower)? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P- 0.75; HP= 0.75 O Hoi P= 0.75; H: p< 0.75 O Ha: p = 0.75; H: p- 0.75 O Ho: p< 0.75; Hip- 0.75 O Ho: P= 0.75; H: p> 0.75 (b) what sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng <s O The Student's t. since no >5 and ng > 5. O The Student's t. since np <5 and ng < 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. Us O I 8:32 hp 女 -> Ce esc & backspace @ #3 $ 8 4.
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