A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 patients was given treatment A, and 72 of them improved their condition. The second group of 125 patients was given treatment B, and 60 of them improved their condition. Perform a hypothesis test to investigate whether there is evidence of a difference between the two treatments. What is the p-value of the test?
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- An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to include smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 240 patients who use the new version is selected by the researcher, and 149 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. Ho :0 H¡ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the…What would the test statistic and p-value be for this? Thanks!A double-blind study was conducted to study the effectiveness and safety of the drug temazepam as a treatment for insomnia. 55 patients with diagnosed insomnia were randomly assigned to take one of two pills at bedtime: 26 patients took a placebo for 4 consecutive nights, 29 patients took 30 mg of temazepam for 4 consecutive nights. All patients completed sleep questionnaires following the 4th night. (a) What is the hypothesis of the study? O Patients who take a placebo will not get any sleep that night. O 30 mg of temazepam is an effective and safe drug for treating insomnia. O Many people have chronic insomnia. OA study determining the effectiveness of a drug must be a double-blind survey. O Temazepam is a good drug for anyone having trouble falling asleep. (b) The control group consists of [Select an answer (c) The experimental group consists of Select an answer
- The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 135 of the new racecar engines and 175 of the old engines. They found that 14 of the new racecar engines and 8 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01 for the test. Step 2 of 6 : Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places.the brand name of a certain chain of coffee shops has a 6% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. he selects a random sample of 6 Coffleton residents, find the probabilty that the number that recognize the brand name is not 4Please help me better understand how to properly solve. A randomized controlled experiment in Charlotte, North Carolina, studied three police responses to spousal abuse: advise and possibly separate the couple, issue a citation to the offender, and arrest the offender. The effectiveness of the three responses was determined by re-arrest rates. The photo shows the rates. Research wishes to test null hypothesis that that the proportions of subsequent arrests are the same regardless of the treatment assigned. Under the null hypothesis, determine the expected number of times no subsequent arrest would occur for the treatment “Advise/separate”?
- The 2x5 table below shows the results of a random sample of 2200 adults classified by 2 variables: gender and preferred way to eat ice cream. At the 5% significance level, test the claim that the two variables are independent. Your solution must include the claim, the null and alternate hypothesis, your test statistic, the degrees of freedom, the p-value, your decision, and the interpretation of your decision as it relates to the claim. Calculate the chi-square test statistic by hand and show all workSolve the last question pleaseTwo different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
- 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.2Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?