A Type I error means That I accepted the null hypothesis, when it is really false That I rejected the null hypothesis, when it was really true That my positive hypothesis is incorrect That I didn't have a large enough sample to make a decision
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- An institute conducted a clinical trial of its methods for gender selection. The results showed that 187 of 338 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.01 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? OA. Ho:p>0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p20.5 B. Ho: p=0.5 H₁: p > 0.5 D. Ho: p=0.5 H₁: p=0.5 Find the test statistic. Test statistic = (Round to two decimal places as needed.)A new drug is tested in two peer-reviewed studies, A and B. Both studies provide evidence that the new drug is an improvement (The null hypothesis, that the new drug does not help, is rejected). But the researchers who conducted study A report a p-value of 8.2%, the team from study B obtained a p-value of only 2.3%. Which study provides the stronger evidence in favor of the new drug? Choose the most appropriate answer. a. Study B, because follow-up studies usually provide stronger evidence. b. Study A, because their p-value is bigger. c. Study A, because it was done by real researchers, and B only by a 'team'. d. Study B, because their p-value is smaller. e. The evidence from both studies is too weak.An organization surveyed 536 high school seniors from a certain country and found that 284 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.58. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O B. Ho is not rejected and the true…
- A Type l error means That I didn't have a large enough sample to make a decision That I accepted the null hypothesis, when it is really false That my positive hypothesis is incorrect That I rejected the null hypothesis, when it was really trueDr. Mackintosh believes a new olfactory therapy would be more successful in promoting weight loss among obese patients. His patients are first weighed and then randomly assigned to olfactory therapy, dance therapy, or a control condition. At the end of the three weeks, the amount of weight lost is recorded. The results indicate no significant difference in the amount of weight lost between the three conditions. If true differences existed between the conditions, but they were not detected, what kind of error occurred?A student performs a test of Ho p = 0.75 versus H, p<0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct. Incorrect
- If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True FalseAn institute conducted a clinical trial of its methods for gender selection. The results showed that 153 of 276 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? O A. Ho: p=0.5 H₂₁: p20.5 O C. Ho: p=0.5 H₁: p=0.5 O B. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p > 0.5 Find the test statistic. Test statistic = Find the P-value. P-value = (Round to four decimal places as needed.) Determine the proper conclusion. Choose the correct answers below. Since the P-value is (Round to two decimal places as needed.) than the significance level, evidence that the method used is effective in increasing the likelihood of a boy. the null hypothesis. There isYou come across Professor Cafferty's data set from his Master's thesis and realize that he has data on types of family support that 26 homosexual men had during young adulthood (about 18-25 years old). You come across two questions where the respondent was asked if they would identify their family as religious and whether or not they received financial support from their family. Please complete the appropriate 8-step hypothesis test using the data below. Had Financial Support Did Not Have Financial Support Family Religious 3 12 Family Not Religious 6 5
- The Department of Health plans to test the lead level in a specific park. Because a high lead level is harmful to children, the park will be closed if the lead level exceeds the allowed limit. The department randomly selects several locations in the park, gets soil samples from those locations, and tests the samples for their lead levels. Write the correct null hypothesis (H_O) for this problem. * Your answer Write the correct alternative hypothesis for this problem. * Your answer Which of the following decisions would result from the Type I error? * None of these Keeping the park open when the lead levels are in excess of the allowed limit. Closing the park when the lead levels are in excess of the allowed limit Closing the park because of the increased noise level in the neighborhood Keeping the park open when the lead levels are within the allowed limitI need help solving for the test statistic of this problemA student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Becaus the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.