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na fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last ummer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate hat the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use = 0.05. AUSE SALT a) What is the level of significance? State the null and alternate hypotheses.

na fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last ummer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate hat the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use = 0.05. AUSE SALT a) What is the level of significance? State the null and alternate hypotheses.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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11) Level of significance is .05 I believe
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 69 out of a random sample of 84 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 a = 0.05. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.75; H,: p< 0.75 O Ho: P < 0.75; H: p = 0.75 O Ho: P # 0.75; H: p = 0.75 O Ho: P = 0.75; H,: p 0.75 O Ho: 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 standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5. What is the value of the sanmple 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.)
Transcribed Image Text:In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 69 out of a random sample of 84 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 a = 0.05. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.75; H,: p< 0.75 O Ho: P < 0.75; H: p = 0.75 O Ho: P # 0.75; H: p = 0.75 O Ho: P = 0.75; H,: p 0.75 O Ho: 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 standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5. What is the value of the sanmple 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.)
(b) What sampling distribution will you use? The Student's t, since np < 5 and nq <5. The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and ng < 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.)
Transcribed Image Text:(b) What sampling distribution will you use? The Student's t, since np < 5 and nq <5. The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and ng < 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.)
Expert Solution
Step 1

Given,

let p0 be the population proportion 

and let p^ be the sample proportion 

n=84

p0=0.75

p^=6984=0.82142

 

 

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