MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A company is considering a promotion that involves mailing coupons to all customers and the promotion would be considered a success if more than 10% of those receiving coupons used them.
Question: What would be the null hypothesis?
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- College Board, the company that runs AP testing, wants to expand access to AP courses. Some schools require that students takethe AP exam at the end of the course while others leave the AP exam as optional. A random sample of 200 students from schoolswhere AP exams are required had 84 students currently enrolled in at least one AP course. Another random sample of 190students from schools where the AP exam is optional had 98 students currently enrolled in at least one AP course.(a) College Board want to test the claim that requiring the AP exam lowers the proportion of students who enroll in at least oneAP course. Carry out a test of this claim at the 5% level of significance. (b) Based on your decision in part (a), what error may have been made, a Type I or Type II error? Give a consequence of thaterror. (c) Interpret the p-value from part (a) in the context of this question.arrow_forwardMicrosoft Word -... 56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 170 of the 278 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer ✓ Ho: ? H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly larger than 56% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who…arrow_forwardAn article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 735 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicant's social media activity during background checks. For purposes of this exercise, suppose that the 735 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. (a) The sampling distribution of p describes the behavior of p when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p for samples of size 735 if the null hypothesis H,: p = 0.25 is true. (Round your answers to three decimal places.) The sampling distribution of p is -Select-- and has mean u, | and…arrow_forward
- A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.arrow_forwardWhat is a null hypothesis? a. A hypothesis that states there is an effect or relationship in the population b. A hypothesis that states there is no effect or relationship in the population c. A hypothesis that is always rejected in hypothesis testing d. A hypothesis that supports the researcher's predictionarrow_forwardA researcher claims that 75% of votors favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailedarrow_forward
- One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0 H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…arrow_forwardAdvertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately, click fraud—the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue—has become a problem. According to BusinessWeek, 42% of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of 220 advertisers will be taken to learn more about how they are affected by this practice. Use z-table. a. What is the probability that the sample proportion will be within +/- 0.05 of the population proportion experiencing click fraud? (to 4 decimals) b. What is the probability that the sample proportion will be greater than 0.45 ?(to 4 decimals)arrow_forwardAn article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 734 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. For purposes of this exercise, suppose that the 734 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. The sampling distribution of p̂ describes the behavior of p̂ when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p̂ for samples of size 734 if the null hypothesis H0: p = 0.25 is true. (Round your answers to three decimal places.)arrow_forward
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