lower than the percentage of men. In a random sample cA large retailer observes the percentage of customers who leave its stores with a purchase. It would like to investigate if the percentage of wornen who leave the store with a purchase170 female shoppers, 147 left the store with a purchase. In a random sample of 160 male shoppers, 135 left the store with a purchase. Complete parts a and b below.a. Perform a hypothesis test with a = 0.10 to determine if the percentage of women who leave the store with a purchaselower than the percentage of men. Let population 1 be women and population 2 be men.What are the correct null and alternative hypotheses?VA. Ho: P1 - P2 20H:P -P2 <0OB. Ho: P1 - P2 #0H: P, - P2 =0O D. Ho: P1 - P2 = 0H,: P1 - P2 #0OC. Hg: P1 - P2 >0H1:P1 - P2 30What is the test statistic?z, =(Round to two decimal places as needed.)

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Answered: A large retailer observes the…

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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Solve the problem. In a hypothesis test, which of the following will cause a decrease in B, the probability of making a type II error? A: Increasing a while keeping the sample size n, fixed B: Increasing the sample size n, while keeping a fixed C: Decreasing a while keeping the sample size n, fixed D: Decreasing the sample size n, while keeping a fixed Seleccione una: O A. A and D O B. B and C O c.C and D D. A and B
A paper company manufactures cardboard boxes. The company wishes to investigate the effects of four production methods on the number of defective boxes produced in an hour. The company randomly selects three machine operators and trains each operator thoroughly to use all four production methods. Then each operator will produce boxes for one hour using each of the four production methods. Test the null hypothesis that the population mean number of defective boxes is the same for the four production methods. Use the output below to answer the following questions. Use a significance level of 0.05 to conduct all hypothesis tests and construct confidence intervals. Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Prob >F МЕТHOD 3 112.66667 37.5556 79.5294 <.0001* OPERATOR 15.16667 7.5833 16.0588 0.0039* Error 2.83333 0.4722 C. Total 11 130.66667 What is the within-treatment variability? 130.66667 37.5556 2.83333 112.66667 O 79.5294
A professor claims that the distribution of her students' grade in Sociology 101 is as follows; 18% A, 35% B, 27% C, 15% D, and 5% F. In a random sample from her classes, you found the following results: A B DE 35 55 53 20 12 Specify the null and the alternative hypotheses that we should use to test for the professor's claim. Conduct the test using a=05 and report your conclusion.
In 1941, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 374 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 341 indicated that they were total abstainers. Complete parts (a) and (b) below. Determine the null and alternative hypotheses. Ho: P₁ H₁: P₁ Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are P2 P2 one would expect a sample difference proportion the one observed in about out of 100 repetitions of this experiment. (Round to the nearest integer as needed.) State the conclusion for this hypothesis test.
A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. a.Specify the competing hypotheses to test the manufacturer's claim. b.Calculate the value of the relevant test statistic. c.Compute the p-value. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?
Suppose a random survey was taken in a large urban high school to determine if vending machine location affects whether sports drinks are more likely to be purchased. A single large sample size of n = 500 was taken over the last year. In the cafeteria, 78 of the 165 drinks purchased were sports drinks. In the gym, 98 of the 157 drinks purchased were sports drinks, and in the auditorium, 54 of the 178 drinks purchased were sports drinks. Select the appropriate Ho and Ha for the hypothesis test to determine whether a relationship exists between location and drink preference.
A social worker wishes to test the claim that, in his state, 14% of the homeless population is made up of veterans. He believes that veterans make up a smaller percentage of the homeless population. The null and alternative hypotheses for this test are as follows. ?0:?=0.14??:?<0.14H0:p=0.14Ha:p<0.14 The social worker plans selects a random sample of n=180 homeless individuals, randomly chosen from various cities, towns, and villages in his state and finds that the proportion that are veterans is 0.089.What is the value of the z standardized test statistic?
At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and T-shirts. The results are given in the table below. In order to test the claim at the 0.05 level that the proportion of wins is the same for teams wearing suits as for teams wearing jeans, what would the null hypothesis be? Win Loss Suit 22 28 T-Shirt 28 22 O A. The proportions of wins is different for teams wearing suits as for teams wearing jeans. O B. The proportions of wins is the same for teams wearing suits as for teams wearing jeans. O C. The mean number of wins is the same for teams wearing suits as for teams wearing jeans. O D. The mean number of wins is different for teams wearing suits as for teams wearing jeans.
An exercise science student believes that during professional rugby games the average distance covered by a winger and the average distance covered by a back are different. When reviewing game statistics the student found that the average distance covered by a random sample of 17 wingers was 11.09, and the average distance covered by a random sample of 20 backs 7.21. What is the null hypothesis for this study?
1
A cell phone salesperson selects a random sample of 75 customers. For each customer, he records which cell phone provider (A, B, or C) they use and the type of phone they purchase. He would like to know whether there is convincing evidence that a customer’s cell phone provider is associated with the type of cell phone the customer purchases. Let = 0.05. What are the hypotheses for this test? H0: Type of cell phone is not independent of the cell phone provider.Ha: Type of cell phone is independent of the cell phone provider. H0: Type of cell phone is independent of the cell phone provider.Ha: Type of cell phone is not independent of the cell phone provider. H0: The proportion of types of phones differs for cell phone providers.Ha: The proportion of types of phones equals in cell phone providers. H0: There is an association between type of cell phone and the cell phone provider.Ha: There is no association between type of cell phone and the cell phone provider.
A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 75% state they would support starting the school year earlier. The P-value for the test of the hypotheses, and , is 0.04. What is the correct conclusion given ? Because the P-value is less than , the school board should reject H0. Because the P-value is less than , the school board should fail to reject H0. Because the P-value is greater than , the school board should reject H0. Because the P-value is greater than , the school board should fail to reject H0.

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