Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor; use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or
20. Insomnia Treatment A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from “Cognitive Behavioral Therapy vs Zopiclone for Treatment of Chronic Primary Insomnia in Older Adults,” by Sivertsen et al., Journal of the American Medical Association, Vol. 295. No. 24). Assume that the 16 sample values appear to be from a
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- Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1992, the average math SAT score for students at one school was 479. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1992 mean of 479. The hypotheses are: H0:μ =479 H1:μ ≠479 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the average math SAT score of students at the school has changed from the 1992 mean of 479.arrow_forwardCalculate the test statistic Calculate the p value What is the conclusion for this hypothesis test?arrow_forwardCalculate the test statistic Calculate the P-value What is the conclusion for this hypothesis test?arrow_forward
- Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Airport Data Speeds Data Set 32 “Airport Data Speeds” in Appendix B includes Sprint data speeds (mbps). The accompanying TI-83/84 Plus display results from using those data to test the claim that they are from a population having a mean less than 4.00 Mbps. Conduct the hypothesis test using these results. For Exercise 9arrow_forwardUsing the P-value method decide if you should reject the null hypothesis or not. In a sample of 81 adults selected randomly from one town, it is found that 8 of them have been exposed to a particular strain of the flu. At the 0.01 level of significance, you wish to test the proportion of all adults in the town that have been exposed to this strain of the flu is 8%arrow_forwardHow do I find the p value for a hypothesis testarrow_forward
- True or False. In order to know whether a hypothesis test is one-tailed or two-tailed, the null hypothesis should be taken into consideration.arrow_forwardDiscuss the errors that can be made in hypothesis testing. What is a Type I error? Why might it occur? What is a Type II error? How does it happen?arrow_forwardCalculate the test statistic Calculate the p value What is the conclusion for this hypothesis test? What is the fundamental error with this analysis?arrow_forward
- Find the P-value for the indicated hypothesis test.In a sample of 47 adults selected randomly from Vancouver, it is found that 9 of them have been exposed to the flu. Find the P-value for a test of the claim that the proportion of all adults in Vancouver that have been exposed to this strain of the flu is more than 8%.arrow_forwardPerform a statistical test for the given problem. Follow the steps in hypothesis testing when you present your results. To find out whether a new serum would arrest leukemia, 16 patients, who had all reached an advanced stage of the disease, were selected. Eight patients received the treatment and eight did not. The survival was taken from the time the experiment was conducted. Without Treatment: 1.8, 2.9, 3.3, 3.1, 2.4, 1.5, 1.5, 1.6 With Treatment: 3.9, 4.8, 4.7, 4.9, 4.2, 4.5, 5.5, 4.2arrow_forwardprovide an example of hypothesis testing using the t score testarrow_forward
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