60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 130 of the 241 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01?
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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)In a sample of 49 men, 38 said that they had less leisure time today than they had 10 years ago. In a sample of 49 women, 30 women said that they had less leisure time today than they had 10 years ago. At α=0.01, is there a difference in the proportions?Use p1 for the proportion of men with less leisure time. State the hypotheses and identify the claim with the correct hypothesis. H0 : p1=p2 ▼not claim H1 : p1≠p2 ▼claim This hypothesis test is a ▼two-tailed test. Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):_______________College administrators at the same institution are further concerned about the differences in binge drinking behaviors among men and women on campus. Suppose of the 268 participants surveyed about their drinking habits that reported binge drinking behaviors, 94 were female. Is there statistically significant evidence at the alpha level of 0.05 that males partake in binge drinking behaviors more so than females involved in Greek life organizations? Write out your null and alternative hypotheses and interpret your results. A. Hypotheses: H0: p=0.50 and Ha: p<0.50 B. Test Statistic: (Normal approximation to the binomial is used) ���^ = 0.03054 zstat= -4.88678 C. P-value: P < 0.0002 D. Significance level: Are the results significant? Group of answer choices Yes, the evidence against H0 is not sufficient to warrant its rejection. Yes, the evidence against H0 is sufficient to warrant its rejection. No, the evidence against H0 is not sufficient to…
- In a survey taken in 2020, 20 out of 50 women and 17 out of 45 men said that they felt our country was headed in the wrong direction regarding universal health care. Do these data provide sufficient evidence at the 0.01 level of significance to conclude that the proportions of women and men that feel out country is headed in the wrong direction regarding healthcare are equal? Use the P-Value Method of Testing. In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic 4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject HoSuppose the average reading speed of 15 randomly selected elementary school students is 25, and the average reading speed of 15 randomly selected middle school students is 31. You compute an independent-samples t-test, and your t-obtained is 5.72, which is statistically significant. What is the most appropriate conclusion? Think of what would be the experimental hypotheses, and in a sentence or two describe your interpretation of the results, using the actual independent and dependent variables, as you would explain it to a reporter.The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion p of people who find relief from depression is at least 65%. A random sample of 170 patients who use this new drug is selected, and 100 of them find relief from depression. Based on these data, can we reject the manufacturer's claim at the 0.1 level of significance? State the null hypothesis H0 and the alternative hypothesis H1 Find the z test value Find the p-value Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is at least 65%? Yes or No?