A comprehensive trial investigating the relationship between vitamin E supplementation and reduced risk for prostate cancer was carried out across the US. Suppose the trial reported that among the 648 patients receiving the supplement program, 267 developed prostate cancer, while only 212 of the 711 patients without the supplementation developed the disease.    Carry out a formal test to determine if there is a significant difference in the risk for developing prostate cancer among the two groups. Write out your null and alternative hypotheses and use an alpha level of 0.05. Also, Comment on the effectiveness of the supplementation at reducing prostate cancer. What did you find relevant to the research hypothesis?

Q: Suppose a random sample of 110 companies taken in 2005 showed that 26 offered​ high-deductible…

A: Given Information: First sample: Sample size (n1) = 110 X = 26 offered high-deductible health…

Q: In​ randomized, double-blind clinical trials of a new​ vaccine, children were randomly divided into…

A: The sample size of the experimental group​ (group 1) is 651 in which 116 subjects are experienced…

Q: Recently a large academic medical center determined that 10 of 22 employees in a particular position…

A: Given, p=0.48  x=10 n=22 p^=xn=1022=0.454545

Q: A researcher claims that the percentage of people who will choose to receive a COVID-19 vaccine is…

A: Here we conduct Z test for proportion.

Q: In one study of smokers who tried to quit smoking with nicotine patch therapy, 35 were smoking one…

A: The random variable nicotine patch therapy follows normal distribution. We have to test whether…

Q: In a study9 on the effects of AZT in slowing the development of AIDS symptoms, 338 veterans whose…

A: Given dataIn a study on the effects of AZT in slowing the developement of AIDS symptoms338 veterans…

Q: Is there a link between watching television and aggressive acts in teenagers? A random sample of…

A:

Q: In randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two…

A: The monkeys are randomly divided in to two groups. New vaccine is given to subjects in group 1…

Q: In 2002, NCHS reported that 75% of children age 2-17 saw a dentist in the past year. An investigator…

A: Given that, x=64,n=125 The sample proportion is, Null and alternative hypothesis:

Q: In​ randomized, double-blind clinical trials of a new​ vaccine, rats were randomly divided into two…

A: Solution: a. Let p1 be the proportion of subjects in group 1 experienced drowsiness as a side effect…

Q: Researchers at the University of Boston's Children's Hospital and Harvard Medical School analyzed…

A: a null hypothesis of H0: no cancer is present and an alternative hypothesis of Ha: cancer is…

Q: In a random sample of 550 women, 66% favored stricter gun control laws. In a random sample of 270…

A:

Q: Recently, a large academic medical center determined that 7 of 15 employees in a particular position…

A:

Q: Recently, a large academic medical center determined that 17 of 24 employees in a particular…

A: given information: let us consider x: having a male empolyee at a perticular position. x=17 n=24…

Q: In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 40 were smoking one…

A: Given Data Smoking = 40 Not Smoking = 33 Total (n) = 73 Level of significance = 0.01 Hypotheses:…

Q: A university conducted a study of online adults that included 411 tablet owners. The study found…

A:

Q: A between-subjects experiment with 25 scores in treatment I and 25 scores in treatment II must have…

A: In Between subject, each observation is independent of the other observation. Each participant has…

Q: In randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two…

A: We have to find null and alternate hypothesis.

Q: A 2012 survey of 404 American adults indicates that 17% of cell phone owners do their browsing on…

A: Note: According to the guidelines, only the first three subparts have been solved. Given: Sample…

Q: In a preliminary study, the U.S. Veterans Affairs Department found that 20.9% of the 81 soldiers who…

A: Given Information : In a preliminary study, the U.S. Veterans Affairs Department found that 20.9% of…

Q: The recommended dietary allowance (RDA) of vitamin C for women is 75 milligrams (mg) per day. A…

A: From the given information we want to find null and alternative hypothesis.

Q: It has been determined that 37 out of 100 adult Americans that did not attend college believe in…

A: There are two independent samples which follows normal distribution. We have to test whether the…

Q: In a nationwide study directed by Detroit’s Henry Ford Hospital, 780 persons with stableheart…

A:

Q: Imagine that two researchers independently carry out clinical trials to test the same null…

A: Solution: Given infomation:  n1= 60  Sample size  of experimentor 1n2=100 Sample size  of…

Q: In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two…

A:

Q: In a clinical study of an allergy drug, 108 of the 200 subjects reported experiencing significant…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

Q: A random sample of 54 students from a college are selected from a normal population with mu equal to…

A:

Q: oup of 80 people who had been diagnosed as prediabetic because of high blood glucose levels…

A: Cinnamon(1) Placebo(2) x1 = 14 x2 = 10 n1 = 40  n2 = 40 p^1 = x1n1=1440=0.35 p^2= x2n2=1040=…

Q: A consumer magazine polls cell-phone-users to see if they are happy with their phones and would…

A: We have to conduct a hypothesis test with an alpha-level of 0.05 to determine if there is…

Q: An insurance company collects data on seat-belt use among drivers in a country. Of 1600 drivers…

A:

Q: The results of a trial involving an experimental vaccine for children are shown below. Developed flu…

A:

Q: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a…

A: (a) The null and alternative hypothesis is, Ho: pvitamin = pno vitamin Ha:pvitamin  ≠pno vitamin The…

Q: The results of a trial involving an experimental vaccine for children are shown below. Developed flu…

A:

Q: Recently, a large academic medical center determined that 10 of 20 employees in a particular…

A: The random variable X follows binomial distribution. X ~ B (n, p). We have to use normal…

Q: An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800…

A: It is known that if the p-value is less than the level of significance, the null hypothesis is…

Q: A newspaper published an article about a study in which researchers subjected laboratory gloves to…

A: Given data: Significance level = 0.05 To find: 1. Test statistics 2. P value

Q: The Ministry of Health Malaysia is interested in the post-shot side effects of a particular Covid-19…

A: The claim of the manufacture is that 50% of the second dose recipients developed mild side effects,…

Q: A newspaper published an article about a study in which researchers subjected laboratory gloves to…

A: The null and alternative hypothesis is, The correct answer is option (A) The type of test is…

Q: In randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two…

A: Here the both the samples are Independent as the respondents are not same for both the doses. There…

Q: In an exit poll, 42 of 75 men sampled supported a ballot initiative to raise the local sales tax to…

A: Denote p1, p2 as the true population proportions of men and women who supported a ballot initiative…

Q: In 1990, 58% of Americans 18 years old and older reported they have a great deal of concern…

A: Introduction: Here, the hypothesized proportion is given as 58% or p = 0.58. The researchers collect…

Q: ness leading to death. The results will be compared to with those obtained from mothers of a group…

A: Increased Risk of Death from acute respiratory infection: bottle-fed infants breast-fed infants…

Q: In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 38 were smoking one…

A: Given information No of people smoking x = 38 Total people n = 38 + 33 = 71

Q: Our colleague Dr. Fraudulus believes that red palm oil, due to its high content of vitamin A, will…

A: In the study, Dr. Fraudulus is interest to know whether red palm oil, due to its high content of…

Q: Is there a difference between men and women when it comes to seeking preventative healthcare? At the…

A: The random variable preventative care follows binomial distribution. There are two independent…

Q: A study is performed involving two therapies for people unable to walk from severe pain due to…

A: p value: The probability of observing the sample mean is as or more than the observed value by…

Q: A journal reported a study examining the possible impact of air pollution on the weight of babies.…

A: Given: P1=9%=0.09 n1=174 P2=5%=0.05 n2=2300 α=0.10

Q: In randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two…

A:

Q: An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is…

A:

Q: A newspaper published an article about a study in which researchers subjected laboratory gloves to…

A: Given: Technology result

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.