11) In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that lastsummer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate thatthe population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05.F USE SALT(a) What is the level of significance?State the null and alternate hypotheses.O H: P = 0.75; H,: p < 0.75O H,: p < 0.75; H,p = 0.75O H,: p+ 0.75; H,:p = 0.75O H,: p = 0.75; H,: p + 0.75O H,i 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 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.) O-3-2-10.21213(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a = 0.05 level, we reject the null hypothesis and condude the data are statistically significant.O At the a = 0.05 level, we reject the null 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 not 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 quests who catch pike over 20pounds differs from 75%.O There is insufficient evidence at the 0.05 level to conclude that the true proportion of guests who catch pike over 20pounds differs from 75%.Need Help?Master it

Name: 11) In a fishing lodge brochure, the lodge advertises that 75% of its
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Description: 11) In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that lastsummer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indic