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- 5. First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1284 registered. a) Construct a 95% Cl for the true proportion of those cardholders who will register for the offer. Assume the requirements are met. This Cl is for b) If the acceptance rate is only 2% or less, the campaign won't be worth the expense. Given the confidence interval you found, is the campaign worth the expense? Explain why using the Cl.4. According to a recent report, 40% of high school students participate in some kind of music program, such as band or choir. A music educator questions this claim. She surveys a random sample of 1,250 high school students and finds that 28% of the students in the sample report participating in a music program. The sample proportion is therefore equal to A. 0.02. B. 0.40. C. 0.28. D. 0.35. E. 0.51.3. A recent report stated that the proportion of teens that vape has decreasedfrom the prior year. The authors randomly selected a group of 600 teensfrom the current year and 126 of them vape. They randomly selected 800teens the prior year and 216 of them vaped. Is there significant evidencethat the proportion decreased?a. State the hypotheses to be tested.b. Compute the value of the pooled proportion
- conclude? do not own cars. What are the hypotheses and what do you sample of 144 employees and 6.14 A canning company agrees with their supplier of canning watermelons that a rate of 6% spoiled melons at the loading platform is reasonable. When the cannery takes a sample of 100 melons from a truckload delivered by the supplier and finds at least eight of them are defective, then the cannery returns the whole shipment. In your opinion was this a reasonable action? a. What is the decision rule that should be used? b. What is the probability of the Type I error? c. Explain the meaning of Type I and Type II errors in economic terms as they would be seen by each of the two parties, the canning company and the supplier.37. A study found that, in 2005. 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21. 2006). Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether union efforts to organize have increased union membership. a. Formulate the hypotheses that can be used to determine whether union membership increased in 2006. b. If the sample results show that 52 of the workers belonged to unions. what is the p-value for your hypothesis test? C. At o 05. what is your conclusion? © 2014 Cengage Learning. All Rights Reserved. May20.
- 4. Suppose 1% of the people in California have a certain type of cancer. The state isconsidering testing everyone in the state for the cancer. A person with the cancerhas a 95% chance of testing positive. A person without the cancer has a 10%chance of testing positive. If a doctor observes a positive test, what is theprobability that a patient has the cancer??9) A pollster wants to estimate p, the true proportion of all Americans favoring the Democratic candidate with 95% confidence andthe margin of error no larger than 0.03. Ina previous survey, we have a reasonable guessfor p equals 0.8. How many people shouldhe randomly sample to achieve his goals?A. 482.B. 683.C. 752.D. 1068.E. None of the above.13. The sign of the alternative hypothesis in a two-tailed test is always A. C. greater than D. less than equal B. not equal 14. This hypothesis states that there is no difference between population parameters and the hypothesized value. A. hypothesis B. alternative hypothesis C. null hypothesis D. two-tailed hypothesis 15. "The ratings given by male and female students with regard to the online teaching skills of their teachers is the same." This statemen example what kind of hypothesis? A. one-tailed hypothesis B. alternative hypothesis C. null hypothesis D. two-tailed hypothesis 16. "The use of social media as modern approach of advertising will increase the demand for a new product." This is an exam __hypothesis. A. Mean B. null C. alternative D. two-tailed 17. Which is the correct alternative hypothesis for one-tailed test? A. µ = 25 B. µ # 25 C.µ ≥ 25 D. p < 25 18. Mrs. Nazareth conducted a research on the preference of residents of Mayapa in choosing their venue for occasions.…
- 7.13. Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly selected adults showed that 50.8% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim. The results (1) support the claim that most adults would erase all of their personal information online if they could. significantly (2) so there (3) sufficient evidence to (1) (2) low, (3) O is are are not O high, O is not. A polling agency wants to estimate the percentage of voters in favor of repealing and replacing the Affordable Care Act, and it wants to provide a margin of error of no more than 1.8 percentage points with 99% confidence. Which of the following should be used to determine the number of respondents (n) the agency must poll? (A) It cannot be determined from the given information. (0.5)(0.5) n (0.5)(0.5) <0.018 (B) 1.96 (C) 2.576 <0.018 n (0.5)(0.5) (D) 2.576 <0.036 n (E) 2.576, (0.99 (0.01) 11 <0.018