Hi could you answer the wrong problems In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 56 out of a random sample of 82 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) What is the level of significance?0.06State the null and alternate hypotheses.O Hp: p< 0.7S; H:p- 0.75Hp: p- 0.75; Hp 0.7SO Hg: P - 0.75; H:p> 0.75O Hg: p+ 0.75; H: p - 0.75O Hg: p - 0.75; Hp< 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 sample test statistic? (Round your answer to two decimal places.)|-1.40(c) Find the Pvalue of the test statistic. (Round your answer to four decimal places.)(0.1607Sketch the sampling distribution and show the area corresponding to the P-value.-2-112-3-2-112-3-2-12-2-11(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 a?the a- 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.PAt the a-0.05 level, we reject the nul hypothesis and conclude the data are not statistically significant.O At the a- 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a- 0.05 level, we fail to reject the null hypothesis and conclude the data are nct statistically significant.(e) Interpret your conclusion in the context of the application.O 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%.e 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%.

Name: Hi could you answer the wrong problems In a fishing lodge brochure, th
Uploaded: 2024-03-20T07:06:41.000Z
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Description: Hi could you answer the wrong problems In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 56 out of a random sample of 82 guests did, in fact, catch northern pike weig

Given that, The value of sample test statistic is -1.40 And the p- value is 0.1607 α=0.05

Math

Statistics

In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounos. Suppose that last summer 56 out of a random sample of 82 quests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population preportion of quests who catch pike over 20 pounds is differene from 75% (either higher or lower)? Use a-0.05. (a) What is the level of signiticance? State the nuli and alternate hypocheses. O Hy p0.75, M:p- 0.75 Hp-0.75; H:p.0.75 O Hy: p-0.75; H,p> 0.75 O Hy: pe0.75, N,ip - 0.75 O H: 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 standand normal, since no <5 and ng < 5. * The standard normal, since np> 5 and ng > 5. The Studene's t. since np S and ng< 5. What is the value of the sample best statistic? (Round your answer to two decimal places.) 1.40 (e) Find the Pvalue of the test statistic. CRound your answer to four decimal piaces.) 0.1607 Sketch the sampling distribution and show the area coresponding to the Pvalue. -3 -2 -1 -3 -2 1 2 2 -2 -1 2 (4) Based on your answers in parts (a) to (e), will you reject or fail to regect the null hypothesis? Are the data statistically significant at level a? * A: the a-0.0s level, we reject the nul hypothesis and conclude the data are statistically significant. At the a-0.05 level, we reject the nul hypothesis and conclude the data are not statistically significant At the a-0.05 level, we fail to reject the null hypothesis and conciude the data are statisticaly significant. At the a-0.05 level, we fail to reject the null hypothesis and conciude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O There is suticient evidence at the 0.05 level to condude 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.