It is known that one in ten consumers favor a certain brand of potato chips. After a promotional campaign in a particular sales region, a random sample of 200 people were interviewed to study the effect of this campaign. (a) Derive the test to compare the null hypothesis that the campaign had no effect on people's opinion of this brand of potato chips against the alternative hypothesis that there was an increase in the favorability of this brand of chips. (b) Using the test you obtained in part (a), what conclusions do you draw if 26 of those interviewed favored that particular brand of chips.
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- What is meant by the sample space of an experiment?A researcher thinks that watching violent televisions increases aggressive behavior in children. To test this hypothesis, she randomly assigns 48 children into one of 3 groups (no violent TV, a little violent TV, or a lot of violent TV) and observes their playground behavior for three weeks and measures it for violence and intensity. If the researcher’s hypothesis is correct, which of the following conclusions could be drawn? Group of answer choices Fail to reject the null, watching violent TV does not increase aggressive behavior in children. Reject the null, watching violent TV does not increase aggressive behavior in children. Fail to reject the null, watching violent TV does increase aggressive behavior in children. Reject the null, watching violent TV does increase aggressive behavior in children.Better than aspirin? A very large study showed thataspirin reduced the rate of first heart attacks by 44%. Apharmaceutical company thinks they have a drug that will be more effective than aspirin, and plans to do a random-ized clinical trial to test the new drug. a) What is the null hypothesis the company will use?b) What is their alternative hypothesis?They conducted the study and found that the groupusing the new drug had somewhat fewer heart attacksthan those in the aspirin group.c) The P-value from the hypothesis test was 0.28. Whatdo you conclude?d) What would you have concluded if the P-value hadbeen 0.004?
- In a study of 800 randomly selected medical malpractice lawsuits, it was found that 515 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p=0.5 H1: p>0.5 Your answer is correct. B. H0: p=0.5 H1: p<0.5 C. H0: p>0.5 H1: p=0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p<0.5 H1: p=0.5 F. H0: p≠0.5 H1: p=0.5 What is the test statistic? z=8.138.13 (Round to two decimal places as needed.) What is the P-value? P-value=0.0000.000 (Round to three decimal places as needed.) What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. Your answer is correct. B. Reject the null hypothesis because the P-value is greater than the significance level, α.…In a study of 800 randomly selected medical malpractice lawsuits, it was found that 515 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p=0.5 H1: p>0.5 Your answer is correct. B. H0: p=0.5 H1: p<0.5 C. H0: p>0.5 H1: p=0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p<0.5 H1: p=0.5 F. H0: p≠0.5 H1: p=0.5 What is the test statistic? z=enter your response here (Round to two decimal places as needed.)In a study of 786 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p≠0.5 H1: p=0.5 B. H0: p=0.5 H1: p≠0.5 C. H0: p=0.5 H1: p>0.5 D. H0: p<0.5 H1: p=0.5 E. H0: p>0.5 H1: p=0.5 F. H0: p=0.5 H1: p<0.5 What is the test statistic? z= (Round to two decimal places as needed.) What is the P-value? P-value=
- In a study of 800 randomly selected medical malpractice lawsuits, it was found that 515 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p=0.5 H1: p>0.5 B. H0: p=0.5 H1: p<0.5 C. H0: p>0.5 H1: p=0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p<0.5 H1: p=0.5 F. H0: p≠0.5 H1: p=0.5In a study of 822 randomly selected medical malpractice lawsuits, it was found that 472 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p<0.5 H1: p=0.5 B. H0: p=0.5 H1: p<0.5 C. H0: p=0.5 H1: p>0.5 D. H0: p=0.5 H1: p≠0.5 E. H0: p>0.5 H1: p=0.5 F. H0: p≠0.5 H1: p=0.5 What is the test statistic? z=nothing (Round to two decimal places as needed.) What is the P-value? P-value=nothing (Round to three decimal places as needed.) What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. B. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. C. Fail to reject the null hypothesis…In a study of 778 randomly selected medical malpractice lawsuits, it was found that 488 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p≠0.5 H1: p=0.5 B. H0: p=0.5 H1: p<0.5 C. H0: p=0.5 H1: p≠0.5 D. H0: p>0.5 H1: p=0.5 E. H0: p<0.5 H1: p=0.5 F. H0: p=0.5 H1: p>0.5 What is the test statistic? What is the P-value? What is the conclusion about the null hypothesis? A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. B. Reject the null hypothesis because the P-value is greater than the significance level, α. C. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. D. Fail to reject the null hypothesis…
- A psychologist was interested in the effects of time of day on critical thinking. Participants were randomly assigned to one of three groups (Morning, Afternoon, or Night) and given a measure to test for the number of answers correct on a critical thinking ability test. The following data were obtained from the study. Morning Afternoon Night 4 3 8 3 1 4 5 3 6 4 1 6 What would be the reasonable alternative hypothesis for this study?Is there a significant difference in the unemployment rates among Hispanic and white adults in the state of Texas? Based on data collected by the Texas Workforce Commission, 4.6% of 640 randomly selected Hispanic adults are unemployed while 2.8% of 780 randomly selected white adults are unemployed. Does this data provide statistically significant evidence that there is a difference in the unemployment rates between the two groups? a) State the null hypothesis (H0) and the alternative hypothesis (Ha ) for the significance test and the conditions b) assume the conditions are satisfied, identify the test statistic (z or t?) to be used, and show the formula for the test statistic, and enter the appropriate values in the formula. (don’t calculate the test statistic here.) c) Assume that the standard error of the differences in proportions is SE = 0.00995. Using this SE, calculate the value of the test statistic (which you set up in part (b) and find the p-value d) Using a significance…In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the decision for this hypothesis test? A) Fail to reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha. B)Fail to reject Ho because the test statistic is not in the rejection region and the p-value is greater than alpha. C) Reject Ho because the test statistic is in the critical region and the p-value is less than alpha. D) Fail to reject Ho because the test statistic is in the critical region and the p-value is less than alpha. E) Reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha.