C. Find p valueD. Make a decision Automobiles Purchased An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile.He believes that the number is much greater than 74% today. He selected a random sample of 48 Americans and found that 42 said that they would prefer anAmerican automobile. Can it be concluded that the percentage today is greater than 74%? At a=0.05, is he cofrect? Use the critical value method with tables.Do not round intermediate steps.Part 1 of 5(a) State the hypotheses and identify the claim.Ho: p= .74 not claimH:p>.74 claimThis hypothesis test is a one-tailedAlternate Answer:Ho:p=0.74 not claimH₁ :p>0.74 claimThis hypothesis test is a one-tailed test.Part: 1 / 5Part 2 of 5(b) Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas.Critical value(s):0.0....test.XS

Given p=0.74, level of significance ɑ=0.05, n=48, X=42

Answered: Automobiles Purchased An automobile…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

Automobiles Purchased An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much less than 74% today. He selected a random sample of 50 Americans and found that 33 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 74%? At =α0.01, is he correct? Use the critical value method with tables. (a) State the hypotheses and identify the claim, one-tail or two-tail. (b) Compute the test value. (c) Find the P-value. (d) Make the decision. (e) Summarize the results.
An airline company recently boasted about its 82% customer satisfaction rate.A corporate watchdog group believes that this percentage is greatly exaggerated, and the real percentage of satisfied customers is lower than 82%. The group randomly surveyed 830 recent customers of this airline and found that only 639 reported being satisfied with the airline.Using α=0.025α=0.025, test the hypothesis that the proportion of satisfied customers of this airline is less than 82%. Use the critical value method. Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.Determine the test statistic. Round the solution to two decimal places.Determine the appropriate conclusion for this hypothesis test.
Data from a recent year showed that 55% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 135 of the 240 students, it trained that year were accepted. Assume these trainees were representative of the population of applicants. Has the company demonstrated a real improvement over the average? What is the P-value?
Automobiles Purchased An automobile owner found that 20 years ago, 76% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 76% today. He selected a random sample of 58 Americans and found that 50 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 76%? At =α0.10, is he correct? Use the critical value method with tables. (a) State the hypotheses and identify the claim. one/two tailed? (b) Compute test values. cricle value(s)? (c) Find the P-value. (d) Make the decision. (e) Summarize the results.
The personality trait of "Conscientiousness" (someone who is organized, responsible, and can control their impulses) has μ = 120 and σ =9. Test whether ARC students (n = 9, M = 126) differ on Conscientiousness. α = .05. Does the z score for the sample mean lie in the critical region (beyond the critical boundary)?
An inventor, working at a science tech lab, believes innovations in satellites are increasing. The inventor would like to test the claim that the average number of new ideas for satellite development per month at the science tech lab is over 60 new ideas. Using the computed test statistic of 1.05 and the critical value of 1.28, is there enough evidence for the inventor to reject the null hypothesis? Use the graph below to interpret the critical value. First select the appropriate test type (left-, right-, or two- tailed), then plot the points along the x-axis (for the critical value and test statistic), and use them to choose the appropriate interpretation.
The president of a university is in need of an academic vice president and wants the approval of more than 50% of the faculty for his candidate. He wants statistical significance and the absolute value. Out of 120 randomly selected faculty members, 65 approved. Is this sufficient to appoint the candidate? Use 0.05 level of significance. Write the research hypothesis Determine the critical region and z-value
What is the critical difference? Is (P)Less than or greater than .05?
The western blot assay is a blood test for the presence of hiv. It has been found that this test sometimes gives false positive results for hiv. A medical researcher claims that the rate of false positives is 2%. A recent study of 400 randomly selected US blood donors who do not have hiv found that 2.5% received a false positive result. At a= 0.05 is there enough evidence to reject the researchers claim?
Using the z-table, find the critical value with α = 0.10 for a left-tailed test.
A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
A small college is concerned that their online classes are less successful than their face-toface classes. To test this claim, the college randomly selects students from their online and face-to-face classes, gathers their average grades, and finds the summary statistics in the table below. Does the information below suggest the online classes are not performing as well as the face-to-face classes at this small college? (Assume that the assumptions and conditions for comparing two means have been satisfied, use � = 0.01) Online Grades Face to Face Grades MEAN (x) 75.2 74.8 SD (s) 3.99 4.32 COUNT (n) 27 29

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