A political researcher believes that the fraction p1 of Republicans strongly in favor of the death penalty is greater than the fraction p2 of Democrats strongly in favor of the death penalty. The researcher acquired independent random samples of 200 Republicans and 200 Democrats and found 46 Republicans and 34 Democrats strongly favoring the death penalty. Does this evidence provide statistical support for the researcher’s belief at a 0.05 level of significance.

Q: An historian examining British colonial records for the Gold Coast in Africa suspects that the death…

A: Assume that p1, p2 are the true population proportions of African miners who died during a year and…

Q: A study was performed to determine the percentage of people who wear life vests while out on the…

A: Answer  Given  Sample proportion [p1] =0.886 Sample proportion [p2] =0.935 sample size [n1] =500…

Q: A study found that 80% of teenagers use social media on a regular basis. John wants to investigate…

A:

Q: A graduate student believes that people consider faces with more contrast between eye color and skin…

A: Explanation for the first part: Given a null hypothesis H0, we either conclude that there is not…

Q: A study of cats and dogs found that 29 of 50 cats and 19 of 50 dogs slept more than 10 hours  per…

A: The proportion of the sample taken from the population is tested using the z-test. If the proportion…

Q: A graduate student believes that people consider faces with more contrast between lip color and skin…

A: From the provided information, The hypotheses are as follow: H₀: The level of contrast between lip…

Q: A researcher is interested in factors related to academic performance of students.She hypothesized…

A: Given: Number of categories of academic majors (c) = 4 Test value = 2.75 p value = 0.283

Q: An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city…

A: Sample size (n) = 173Population proportion (p) = 0.08Thus,

Q: A medical research team wanted to perform a statistical inference procedure to see if there is a…

A: The 95% confidence interval is (-0.125, 0.083).

Q: A recent survey asked 1200 randomly selected U.S. adults if they believe that the U.S. federal…

A: Let the proportion of women (p1) and men (p2) who believe that the U.S. federal government is not…

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

A:

Q: An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city…

A: Sample size(n)=143 Population proportion(P)=0.04 q=1-p q=1-0.04=0.96

Q: Suppose 221 subjects are treated with a drug that is used to treat pain and 52 of them developed…

A:

Q: What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to…

A: Let p1 and p2 be the two population proportions of homes with asbestos in Kingston and the…

Q: A research group claims that 20% of patients with dementia never develop full Alzheimer's. In a…

A: According to the given question, to test the hypothesis that the research group claims that 20% of…

Q: Many elementary school students in a school district currently have ear infections. A random sample…

A: Given X1=11 X2=12 n1=40 n2=30

Q: In a recent Gallup poll, 507 adults age 18 and older were surveyed and 269 said they believed they…

A:

Q: A doctor is concerned that nausea may be a side effect of Tamiflu, but is not certain because nausea…

A: From the given information, Consider, X be the random variable that shows number of persons were…

Q: Random samples of 110 homes in Kingston, Ontario (₁) and 100 homes in Owen Sound, Ontario (1₂) were…

A: sample size of homes in kingston(n1)=110sample size of homes in Owen sound(n2)=100presence of…

Q: Because of this, the psychologist who created the program believes the proportion, p, if all married…

A:

Q: The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age…

A: Setup of the Hypotheses:Null Hypothesis (H0​): There is no difference in the proportion of arthritis…

Q: he drug Ritalin is designed to stimulate the central nervous system. In a random sample of 252 boys…

A: Solution: Given information: n= 252 Sample size of boysx = 44 boys taking Ritalin p^= xn=44252=…

Q: Suppose a marriage counselor believes that the proportion of married couples with three personality…

A: The provided information are:

Q: A simple random sample of 300 men included 71 who smoke, and a simple random sample of 310 women…

A: Given: Sample sizes: Sample of men n1=300 Sample of women n2=310 Number of men who smoke X1=71…

Q: (a-1) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your…

A:

Q: study was performed to determine the percentage of people who wear life vests while out on the…

A: From the given information we conduct test for two Proportion.

Q: Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC…

A: a) The null hypothesis is a simple statement about the value of the population parameter which is…

Q: A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage,…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: A study was conducted to determine the proportion of people who dream in black and white instead of…

A: The random variable dream in black and white follows binomial distribution. There are two…

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.