placebo to a sample of 250 patients, and they gave the drug to another sample of 250 patients fora period of two monti Then, they asked the patients about their symptoms. Among those given the placebo, 98 patients had a reduction of symptoms of bipolar depression, while119 patients in the other group had lesser symptoms. Based on these data, the researchers wondered whether there is statistical evidence that the new drug helps reduce the symptoms of bipolar depression. Use the given information to perform an appropriate hypothesis test. Assume that the conditions for the hypothesis test are satisfied. Use a = 0.05. Let the placebo group correspond to sample 1 and the group receiving the drug correspond to sample 2. (a) Ho : P1 = p2; Ha : p1 < p2, which is a left-tailed test. (b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if the proportions are different. Identify the test statistic, z, and p-valu from the calculator output. Round the test statistic to two decimal places and the p-value to three decimal places. Provide your answer below: test statistic = p-value =

placebo to a sample of 250 patients, and they gave the drug to another sample of 250 patients fora period of two monti Then, they asked the patients about their symptoms. Among those given the placebo, 98 patients had a reduction of symptoms of bipolar depression, while119 patients in the other group had lesser symptoms. Based on these data, the researchers wondered whether there is statistical evidence that the new drug helps reduce the symptoms of bipolar depression. Use the given information to perform an appropriate hypothesis test. Assume that the conditions for the hypothesis test are satisfied. Use a = 0.05. Let the placebo group correspond to sample 1 and the group receiving the drug correspond to sample 2. (a) Ho : P1 = p2; Ha : p1 < p2, which is a left-tailed test. (b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if the proportions are different. Identify the test statistic, z, and p-valu from the calculator output. Round the test statistic to two decimal places and the p-value to three decimal places. Provide your answer below: test statistic = p-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS

See similar textbooks

Similar questions

A hypothetical study looks at the effect of drinking alcohol on health. Across all genders and age groups, people who do not drink tend to be healthier on average than people who do drink. However, people who drink regularly are on average healthier than those people who have recently stopped drinking. Is it reasonable to conclude that for the sake of health, we should not start drinking, but if we have already started drinking alcohol, it is healthier to continue and not to stop?
A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? (Round your answer to two decimal places.) The overall mortality rate among hypertensives would be reduced by how much? If possible please demonstarte how this can be done on a calculator, thank you!
A well-known study of 22,000 male physicians was conducted to determine if taking aspirin daily reduces the chances of a heart attack. Half of the physicians were given a regular dose of aspirin while the other half was given placebos. Six years later, among those who took aspirin, 104 suffered heart attacks while among those who took placebos, 189 suffered heart attacks. Does it appear that the aspirin can reduce the number of heart attacks among the sample group that took aspirin? Use α = 0.05.
A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug. a. This study compared two What were the populations? b. Do you suppose the data were obtained in a survey or an experiment? c. For the population of women whose mothers took the drug DES during pregnancy, a sample of 3980 women showed that 63 developed tissue abnormalities that might lead to Provide a descriptive statistic that could be used to estimate the number of women out of 1000 in this population who have tissue abnormalities. d. For the population of women whose mothers did not take the drug DES during pregnancy, what is the estimate of the number of women out of 1000 who would be expected to have tissue abnormalities? e. Medical studies often use a relatively large sample (in this case.3980).Why?
Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6720 patients were given clopidogrel, and 6679 were given ticagrelor. Of the clopidogrel patients, 551 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 654 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is greater for ticagrelor? Let p1 denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the α=0.10 level of significance and the P-value method with the TI-84 Plus calculator. a)State the appropriate null and alternate hypotheses. b) find P-value c)Determine whether to reject H0. d)There (is/is not) enough evidence to conclude that the mean weight loss of subjects having…
Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6665 patients were given clopidogrel, and 6740 were given ticagrelor. Of the clopidogrel patients, 651 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 573 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is less for ticagrelor? Let p1 denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the =α0.01 level of significance and the P -value method with the TI-84 Plus calculator. please state p method clearly!
You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the flu and say that nausea is a side effect if people become nauseous. However, past research indicates that about 30% of people who get the flu experience nausea, and you believe that the percentage of those who experience nausea while having the flu and taking Tamiflu will be greater than 30%, which would indicate that nausea is a side effect of Tamiflu.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: ____ _____H1: ____ _____b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the flu and say that nausea is a side effect if people become nauseous. However, past research indicates that about 30% of people who get the flu experience nausea, and you believe that the percentage of those who experience nausea while having the flu and taking Tamiflu will be greater than 30%, which would indicate that nausea is a side effect of Tamiflu.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed
You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the flu and say that nausea is a side effect if people become nauseous. However, past research indicates that about 30% of people who get the flu experience nausea, and you believe that the percentage of those who experience nausea while having the flu and taking Tamiflu will be greater than 30%, which would indicate that nausea is a side effect of Tamiflu.If you are going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0H0: H1H1: What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed
A study was performed to test the effectiveness of a new treatment for migraines. There were 125 patients in the study. Of these, 60 were randomly assigned to receive the standard treatment and 65 to receive the new treatment. All were instructed to take the medication at the onset of their next migraine and to notice if the pain of their migraine felt reduced after half an hour. Fifty patients receiving the new treatment reported reduced pain, compared with only 40 of the patients receiving the standard treatment. The results seem to favor the new treatment, but could the difference just be due to chance? In this problem, consider the null hypothesis that the percentage of patients with a reduction in pain is the same between the two treatments, versus the alternative hypothesis that the percentages are different. (a) Under the null hypothesis, the difference in the sample percentages is expected to be ___%. The standard error for the difference is estimated to be ___%. (b) Calculate…
An experiment to determine if a migraine medication decreases a person's average number of monthly migraines is performed on 400 people who report they have several migraines a month. Researchers randomly assigned 200 people to the treatment group and 200 people to the control group. After the study, the researchers determined that 48 of the subjects in the treatment group and 28 of the subjects in the control group average fewer migraines per month. The data from the two groups are resampled 150 times, and the table shows the distribution of the differences of the proportions for the reconfigured treatment and control groups.
There have been many studies recently concerning coffee drinking and cholesterol level. While it is known that several coffee-bean components can elevate blood cholesterol level, it is thought that a new type of paper coffee filter may reduce the presence of some of these components in coffee. The effect of the new filter on cholesterol level will be studied over a 10-week period using 300 nonsmokers who each drink 4 cups of caffeinated coffee per day. Each of these 300 participants will be assigned to one of two groups: the experimental group, who will only drink coffee that has been made with the new filter, or the control group, who will only drink coffee that has been made with the standard filter. Each participant’s cholesterol level will be measured at the beginning and at the end of the study. Describe an appropriate method for assigning the subjects to the two groups so that each group will have an equal number of subjects. In this study, the researchers chose to include a…