The drug Finasteride is marketed as Propecia to help protect against male pattern baldness, and it also may protect against prostate cancer. A large sampleof healthy men over age 55 were randomly assigned to receive either a daily Finasteride pill or a placebo. The study lasted seven years and the men had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368 men taking Finasteride and in 1145 of the 4692 men taking a placebo. A 95% confidence interval for the risk difference (proportion of subjects on Finasteride who develop cancer - proportion of subjects on placebo who develop cancer) is (-0.077, -0.043). Does this confidence interval provide evidence of an association between development of cancer and taking Finasteride? Briefly justify your response.
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- A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? (b)What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)arrow_forwardCalcium is the most abundant mineral in the body and also one of the most important. The recommended daily allowance (RDA) of calcium for adults is 800 milligrams (mg). A random sample of 18 people with incomes below the poverty level gives the following daily calcium intakes: 686, 433, 743, 647, 734, 641, 993, 620, 574, 634, 850, 858, 992, 775, 1113, 672, 879, 609 At the 1% significance level, do the data provides sufficient evidence to conclude that the mean calcium intake of all people with income levels below the poverty level is less than the RDA of 800 mg? Step 1 : Step 2: 3.Critical Value approach: 4.Conclusion:arrow_forwardA ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial in many ways, including lowering the costs incurred during the hiring process such as training costs. A random sample of 755 full-time and 415 part-time seasonal employees from 2009 showed that 419 full-time employees were rehired compared with 186 part-time employees. (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use α = 0.02.) (a-1) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject the null hypothesis if zcalc > _____ or zcalc < ______. (a-2) Find the test statistic zcalc. (Round intermediate calculations to 4 decimal places. Round your answer to 3 decimal places.) zcalc_______ (b) Find the p-value. (Round your answer to 4 decimal places.) p-value ______arrow_forward
- The drug Finasteride is marketed as Propecia to help protect against male pattern baldness, and it also may protect against prostate cancer. A large sampleof healthy men over age 55 were randomly assigned to receive either a daily Finasteride pill or a placebo. The study lasted seven years and the men had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368 men taking Finasteride and in 1145 of the 4692 men taking a placebo. 1.) Assume that the true risk of developing prostate cancer for a man taking Finasteride is equal to the one in this sample. If 10 men from the Finasteride group are randomly selected, what is the probability that at least one of them will develop prostate cancer? Answer choices: a. 0.184 b. 0.816 c. 0.869 d. 0.131arrow_forwardAccording to a study on the effects of smoking by pregnant women on rates of asthma in their children, for expectant mothers who smoke 20 cigarettes per day, 22.2% of their children developed asthma by the age of two in the US. A biology professor at a university would like to test if the percentage is different in another country. She randomly selects 319 women who only deliver one child and smoke 20 cigarettes per day during pregnancy in that country and finds that 82 of the children developed asthma by the age of two. In this hypothesis test, Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4 1. This is an example of 2. Find the standard error. 3. Find the z value. Question 10 V a hypothesis test.arrow_forwardA random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.arrow_forward
- A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received aspirin treatment and 18 died from heart attack. Let pl denote the population proportion of death from heart attack for those with no treatment and p2 denote the population proportion of death from heart attack for those with aspirin treatment. (c) Which of SEO and SE1 is used for calculating a confidence interval for comparing two population proportions? Which is used for calculating the test statistic in a hypothesis test? (d) Construct the 95% confidence interval for pi – p2. Interpret.arrow_forwardA random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)arrow_forwardHow many subjects in the "patch only" group would you expect not to quitarrow_forward
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