Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 13.2, Problem 3E
Refer to exercise 2.
- a. what hypotheses are implied in this problem?
- b. At the α = .05 level of significance, can we reject the null hypothesis in part (a)? Explain.
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Chapter 13 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
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- You complete a hypothesis test using alpha = .05 and based on the evidence from the sample, your decision is to fail to reject the null hypothesis. If the treatment actually does have an effect, which of the following is true?arrow_forwardWhen is a researcher at risk of making a Type II error? a. whenever H0 is rejected b. whenever H1 is rejected c. whenever H0 fails to be rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.arrow_forwardWhen is a researcher at risk of making a Type II error? a. whenever H1 is rejected b. whenever H0 fails to be rejected c. whenever H0 is rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.arrow_forward
- An economist has collected data on the number of house foreclosures. The published share of housing units with a foreclosure filing is 0.47%. The economist believes, based on the data she collected, that the share of housing units with a foreclosure filing is different from 0.47%. What are the null and alternative hypotheses? Select the correct answer below: H0: μ≠0.47%; Ha: μ=0.47% H0: μ=0.47%; Ha: μ≥0.47% H0: μ=0.47%; Ha: μ≤0.47% H0: μ=0.47%; Ha: μ≠0.47%arrow_forwardWhen asked what it means for the result of a hypothesis test to be practically significant (or practically important), Tatum says this means that the P-value is small and the null hypothesis has been rejected. what is wrong about this?arrow_forwardIn doing a hypothesis test of the population proportion at α=0.02 level of significance, we got the p-value to be 0.006. What would our conclusion to the test be? Why? A. Do NOT Reject H0 since the p-value > α B. Reject H1 since the p-value < α C. Reject H0 since the p-value < α D. Do NOT Reject H0 since the p-value < αarrow_forward
- Which of the following relates to the acceptance of the null hypothesis when it is actually false?1. Type I error 2. Type II error 3. Power 4. Statistical significancearrow_forwardA researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%arrow_forwardWhich of the following relates to the rejection of the null hypothesis when it is actually false? 1. Type I error 2. Type II error 3. Power 4. Statistical significancearrow_forward
- An automobile manufacturer claims that the average gas mileage of a new model is 35 miles per gallon (mpg). A consumer group is skeptical of this claim and thinks the manufacturer may be overstating the average gas mileage. If µ represents the true average gas mileage for this new model, which of the following gives the null and alternative hypotheses that the consumer group should test?arrow_forwardThe U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. State the null hypothesis H0 and the alternate hypothesis H. np? nq? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? Interpret your conclusion in the context of the application.arrow_forwardMisconceived hypotheses. What is wrong with each of the following hypothesis statements? H0: μ = 100 vs. Ha: μ ≠ 110 H0: x̄ = 100 vs. Ha: x̄ < 100 or could write as H0: x̄ >= 100 vs. Ha: x̄ < 100 H0: p^ = 0.50 vs. Ha: p^ ≠ 0.50arrow_forward
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