Let n1=40​, X1=10​, n2=40​, and X2=20. Complete parts​ (a) and​ (b) below. a. At the 0.05 level of​ significance, is there evidence of a significant difference between the two population​ proportions?   Determine the null and alternative hypotheses. Choose the correct answer below.     A. H0: π1≤π2 H1: π1>π2   B. H0: π1≥π2 H1: π1<π2   C. H0: π1≠π2 H1: π1=π2   D. H0: π1=π2 H1: π1≠π2   Calculate the test​ statistic, ZSTAT​, based on the difference p1−p2.   The test​ statistic, ZSTAT​, is ? ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Calculate the​ p-value.   The​ p-value is ? ​(Type an integer or a decimal. Round to three decimal places as​ needed.)   b. Construct a 95​% confidence interval estimate of the difference between the two population proportions.   ?≤π1−π2≤? ​(Type integers or decimals. Round to four decimal places as​ needed.)

Q: Test the claim about the population mean, µ, at the given level of significance using the given…

A:

Q: 16. Researchers claim that 60 tissues are the average number of tissues a person uses during the…

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Each student needs to get a partner from the class. The team needs to use Excel from the Web Site…

A: given sample size A (n1)=20sample size B (n2)=20sample A data:…

Q: You wish to test the following claim (Ha) at a significance level of a = 0.02. H,:P1 = P2 Ha:P1 # P2…

A: n1=471=sample size from first population n2=418=sample size from second population p1=0.393=…

Q: OC. The assumptions for a large-sample test are met. Ho: p=0.50; Ha: p<0.50 The assumptions for a…

A: Given that  Sample size n =830 Sample proportion p^=0.537

Q: Determine the test statistic and p-value for Ho: p = 0.5 versus H3: p # 0.5 wh 225 and the sample…

A: Given that  Null hypothesis (H0) : P=0.5 Alternative hypothesis (H1) : P≠0.5 Sample size (n) = 225…

Q: The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample…

A: Solution: The critical boundaries for a hypothesis test are z = +1.96 and -1.96. Z test statistic or…

Q: Test the claim about the population mean, µ, at the given level of significance using the given…

A: The claim is μ ≠5000 Null hypothesis: H0 : μ = 5000. Alternative hypothesis: Ha : μ ≠5000   Option B…

Q: Test the claim about the population mean, u, at the given level of significance using the given…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Which of the following is the null hypothesis for a two sample t test?     a. µ1 ≠ µ2     b. µ1…

A: We have to find correct hypothesis..

Q: a. state the null and alternative hypothesis  b. calculate test statistic  c. what are the df?…

A: a) From the given information, Sample size n =50 the Sample mean, M=22.78 the Sample standard…

Q: Determine the sample size required to achieve power = .93, assuming Ho = 12, o = 8, and H: H1 – Ho >…

A:

Q: A distribution and the observed frequencies of the values of a variable from a simple random sample…

A: For the given data Perform Chi square goodness of fit

Q: X1 = 20, n = 50, X2 = 15, n2 = 75; Ho: P1 = P2, Ha: P1 > P2, a = 0.05 ..... O A. 0.0032 O B. 0.0073…

A:

Q: jury duty and only 10 of them are Hispanic. Does this apparent underrepresentation of Hispanics call…

A: Given that  Sample size n =74 Favorable cases x =10 Sample proportion p^=x/n  =10/74 =0.1351

Q: Assume you are given the following scores from two randomly drawn, independent samples:    X: 5,…

A: There are two independent samples which are X and Y. We have to test whether the populations from…

Q: Group A n = 120 Group B n = 150 X2 = 61.8 S2 = 2.62 X,= 62.7 S1= 2.5 Do these samples constitute…

A:

Q: A data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying…

A: Given information- We have given the data set of weights (in grams) of 32 Reese's Peanut Butter Cup…

Q: A population has an unknown mean and standard deviation 7. From a random sample, we know: n = 50…

A: For the given data Perform z test for one sample mean

Q: The table below shows results from a recent General Social Survey on two variables, respondent sex…

A: Null hypothesis: Null hypothesis is the statement about parameter of population. Alternative…

Q: The number of successes and the sample size for a simple random sample from a population are given…

A: Given: x=35n=50α=0.10

Q: Claim: μ₁ = ₂; x = 0.05. Assume o 0 ² = 0²/2 1 Sample statistics: x₁ = 33.3, s₁ = 3.5, n₁ = 13 and…

A: Givenclaim is μ1=μ2α=0.05Assume σ12=σ22Mean(x1)=33.3standard deviation(s1)=3.5sample…

Q: Which of the following ways of stating the hypotheses for population means are valid? Select all…

A: The population mean is .

Q: Which of the following is not one of the four steps of the hypothesis test?  A. State the level of…

A: A hypothesis testing is sued to test the claim about the population parameter.

Q: 12% of all college students volunteer their time. Is the percentage of college students who are…

A: From the provided information,

Q: In 1992 a national vital statistics report indicated that about 2.3% of all births produced twins.…

A: Solution: Given information: n= 455 Sample size x =7 successes  p^=xn=7455=0.0154  Sample proportion…

Q: Use a t-test to test the claim about the population mean u at the given level of significance a…

A:

Q: X μ=89, o = 32, n = 64 II

A:

Q: 10. A random sample of n - 4 individuals is selected from a population with µ = 35, and a treatment…

A: Solution :  Given : n =4             μ = 35             M = 40.1             SS = 48 a. Difference…

Q: Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol…

A:

Q: Use the sample data below to test the hypotheses Ho: Pi = P2 = P3 Ha : Not all population…

A: We have to perform multiple comparison test for proportions.

Q: You perform a two-sample hypothesis test to compare the proportions of two populations. You find…

A: Here we have given the information, In a two-sample hypothesis test to compare the proportions of…

Q: When we test the hypothesis that the population proportions are equal, we can use the Z test for a…

A: It is given that the statement about to the hypothesis test.

Q: Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the…

A: Given Information: 200 people were asked “Who is your favourite superhero?” Categories Observed…

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.