A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- 7arrow_forwardConsider a sample of 47 football games, where 28 of them were won by the home team. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one-half. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.5 H₁: p=0.5 ⒸB. Ho: p=0.5 H₁: p>0.5 O C. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p<0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. B. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than…arrow_forwardK In a July 2017 report, a research firm stated that 39% of people from a certain region reported being harassed while online. An AP Statistics student decided to conduct her own survey at her high school of 3,260 students. She randomly selected 239 students to be surveyed and 99 of them stated that they had been harassed online. Does her survey suggest that the problem is worse at her school than it is for a typical person in the region? Determine the appropriate hypotheses. Ho P HA P (Type integers or decimals.) The test statistic is z = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State your conclusion. Use a = 0.05. the null hypothesis. There sufficient evidence to conclude that the proportion of students in the high school who were harassed while online is the proportion of people from the region being harassed while online.arrow_forward
- USE STATCRUNCH TO SHOW WORKarrow_forwardWhich of these is NOT considered one of the traditional results of hypothesis testing reported in a research paper? a. degrees of freedom b. effect size c. the symbol for the statistic used d. p value associated with the test statisticarrow_forwardA group of 500 people were asked to cast votes regarding a particular political issue. The following frequencies occurred. Favor Undecided Oppose Totals Female 180 80 40 300 Male 150 20 30 200 Totals 330 100 70 500 1. Determine if voters’ opinions are independent or dependent of gender. Set up hypotheses; perform a test for independence; analyze all relevant aspects of your conclusion.arrow_forward
- use a hypothesis test to determine if the proportions are statistically different. A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than theproportion of elementary teachers who were single? Use ΅ = 0.01.arrow_forwardSuppose the P-value in a two-tailed test is 0.0134. Based on the same population, sample and null hypothesis, and assuming the test statistic z is negative, what is the P-value for a corresponding left-tailed test? Select one: O a. 0.0067 O b. 0.0268 O c. 0.225 O d. 0.0184 Next pagarrow_forwardThe distribution of majors at the college is shown below. Major Math/Science Arts and Humanities Business and Economics Others Percents 24 33 34 9 Suppose a random sample of 400 athletes from the college are surveyed. The table below shows the results of the survey. Major Math/Science Arts and Humanities Business and Economics Others Frequency 95 146 118 41 What can be concluded at the 0.05 level of significance? Perform the hypothesis test. H0: The distribution of majors for athletes at the college is the same as the distribution of majors for the general population. H1: The distribution of majors for athletes at the college is not the same as the distribution of majors for the general population. p-Value = [ Select ] ["0.04", "0.38", "0.21", "0.00"] Conclusion: [ Select ] ["There is insufficient evidence to support the claim that athletes' majors follow the same or a different distribution as majors from the entire student body.", "There is statistically…arrow_forward
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
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ISBN:9780134753119
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