A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- An ANOVA test is conducted of the grades earned by students from a math professor, who taught 3 sections of the same class: morning, afternoon and evening. The decision was to Reject the null hypothesis. Does the test tell which mean is significantly different? yes O noarrow_forwardSuppose are running a study/poll about the accuracy rate for fingerprint identification. You randomly sample 74 people and find that 41 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running: Ho:p = 0.53 Ha:p + 0.53 Calculate the test statistic, rounded to 3 decimal places = Zarrow_forwardSuppose are running a study/poll about the accuracy rate for fingerprint identification. You randomly sample 127 people and find that 89 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running: Ho: p = 0.72 H₁: p 0.72 Calculate the test statistic, rounded to 3 decimal places Question Help: Video Message instructor Post to forum Submit Questionarrow_forward
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly larger than 70% at a significance level of a= 0.01. According to your sample, 59 out of 77 potential voters prefer Candidate A. 1. For this study, we should use Select an answer es 2. The null and alternative hypotheses would be: Ho: 2 vselect an answer v (please enter a decimal) H:? vSelect an answer v (Please enter a decimal) nces rations 3. The test statistic- (please show your answer to 3 decimal places.) Drive 4. The p-value = (Please show your answer to 4 decimal places.) 65 5. The p-value is Select an answer Ma t Course ions 6. Based on this, we should Select an answer v the null hypothesis. 7. As such, the final conclusion is that ... O The sample data suggest that the population proportion is not significantly larger than 70% at a 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is larger than 70%. O The sample data…arrow_forwardWhat are the hypotheses for the test? A. H0: β1≠0 and Ha: β1=0 B. H0: β1=0 and Ha: β1<0 C. H0: β1=0 and Ha: β1>0 Your answer is not correct. D. H0: β1=0 and Ha: β1≠0 This is the correct answer. What is the test statistic? t= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) Part 4 Which of the following is the correct conclusion for the hypothesis test? A. Do not reject H0; the data provide sufficient evidence to conclude that x is useful for predicting y. B. Reject H0; the data do not provide sufficient evidence to conclude that x is useful for predicting y. C. Do not reject H0; the data do not provide sufficient evidence to conclude that x is useful for predicting y. Your answer is correct. D. Reject H0; the data provide sufficient evidence to conclude that x is useful for predicting y. Part 5 b. Find a 95%…arrow_forward(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.arrow_forward
- Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?arrow_forwardMales and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardAnswer all A, B, C and D questionsarrow_forward
- A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1300 registered voters and found that 670 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.We test Ho: p=.5 Ha: p>.5 What is the -statistic for this test? What is the P-value of the test?arrow_forwardMitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…arrow_forward
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