Sketch the sampling distribution and show the area corresponding to the P-value.-3-2-2-1-1001122336-33n-2-2-1-1001(e) Interpret your conclusion in the context of the application.O There is sufficient evidence at the 0.01 level to conclude that the true proportion of customers loyal toChevrolet is more than 0.47.1(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the datastatistically significant at level a?O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statisticallysignificant.There is insufficient evidence at the 0.01 level to conclude that the true proportion of customers loyal toChevrolet is more than 0.47. USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobilemanufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1004 Chevrolet owners and found that484 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal toChevrolet is more than 47%? Use a = 0.01.USE SALT(a) What is the level of significance?State the null and alternate hypotheses.O Ho: P = 0.47; H₁: p.= 0.47Ho: P = 0.47; H₁: P < 0.47O Ho: P = 0.47; H₁: p > 0.47OH: P >0.47; H₁: p = 0.47(b) What sampling distribution will you use?O The Student's t, since np > 5 and nq > 5.O The standard normal, since np > 5 and ng > 5.O The Student's t, since np < 5 and nq < 5.O The standard normal, since np < 5 and nq < 5.What is the value of the sample test statistic? (Round your answer to two decimal places.)76(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)261

(a) The level of significance is 0.01. Hypotheses: H0:p=0.45; H1:p>0.47

Answered: USA Today reported that about 47% of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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