A week before a state election, a random sample of voters from City J and a random sample of voters from City K were taken. Of the 100 voters selected from City J, 65 indicated they were supporting a certain candidate for state senate. Of the 125 voters selected from City K, 75 indicated they were supporting the candidate. Which of the following is the correct test statistic for a two-sample z-test for a difference in population proportions for the two cities (J minus K) in their support for the candidate?

Q: Ashoes factory distributesits brand of shoes Adidas in two cities (A) and (B).A random sample of 400…

A:

Q: In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A…

A: Statistical tests are used to calculate the test statistics which is eventually used to determine…

Q: In a survey, 31% of the respondents stated that they talk to their pets on the telephone. A…

A: Given that n =150 ,p = 0.31

Q: A psychologist was interested in the effects of time of day on critical thinking. Participants were…

A: Solution: It is given that a psychologist was interested in the effects of time of day on critical…

Q: An employee claims that 20% of the email she receives is personal, 60% is work related, and 20% is…

A:

Q: 2. A random sample of 100 adults from a certam population of voters contains 41 women and 59 men.…

A: Given that  Sample size (n) = 100 Population of voters contains Women  = 41 Men = 59 Sample…

Q: In a major election, a survey with 1000 voters is conducted. It is found that, among them, 450 votes…

A: Sample size = 1000 for both.  X1 = 450  X2 = 410 At 5% level of significanve.   By using two sample…

Q: If you have samples of n₁ = 22 and n₂ = 19, in performing the pooled-variance t test, how many…

A: Givensample size(n1)=22sample size(n2)=19

Q: Assume that you plan to use a significance level of a = 0.05 to test the claim that p1 = p2. Use the…

A: It is given that In a vote on the clean water bill, 46% of the 205 Democrats voted for the bill…

Q: Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this…

A: We have given that,  Sample size (n) = 49 and p- value= 0.10 and let t0 is the t statistic.

Q: The average U.S. household has $235,600 in life insurance. A local insurance agent would like to see…

A:

Q: A certain university has decided to introduce the use of plus and minus with letter grades, as long…

A: Given info: A certain university has decided to introduce the use of plus and minus with letter…

Q: A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer…

A:

Q: Are the requirements met to test a hypothesis for the following two population proportions? If not,…

A: Conditions for testing the population proportion: The samples should be selected at random. The…

Q: A newspaper article contains the statement that, nationwide, 36% of all graduate students have a job…

A:

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

A: Solution: Let p1 be the proportion of students who have ear infections at one school and p2 be the…

Q: A quality engineer is asked to determine whether less than 2% of all flasks received by its company…

A:

Q: In a hypothesis test, if the sample data is determined to be in the critical region with α = .05,…

A:

Q: A random sample of 415 potential voters was interviewed three weeks before the start of a state-wide…

A: From the given information, Let X be the number of voters that they favoured the new candidate. X =…

Q: 2. 10% of all college students volunteer their time. Is the percentage of college students who are…

A: As per our guidelines, we can solve only the first three subparts, Kindly repost the others for…

Q: In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A…

A: Here we need to calculate the value of the Z statistic.

Q: Two random samples are taken, one from among first-year students and the other from among…

A: From the provided information,

Q: Freshmen at public universities work 12.2 hours a week for pay, on average and the SD is 10.5 hours.…

A: For Sample 1 x̄1 = 12.2 s1 = 10.5 n1 = 900 For Sample 2 x̄2 = 10.4 s2 = 9.9…

Q: In a two-sample t-test, suppose you obtain sample means equal to 25 in sample 1, and 26 in sample 2.…

A: Given that  sample means equal to 25 in sample 1, and 26 in sample 2.

Q: Q.8.1 A large manufacturing company claims that more than 88% of its customers are fully satisfied…

A:

Q: Based on a USA Today poll, 10% of the population believes that college is no longer a good…

A:

Q: A wholesaler in apples claims that only* 4 per cent of the apples supplied by him are defective. A…

A: Any assumption about the parameter or probability function is known as hypothesis testing. For the…

Q: A sample of n = 25 scores is selected from a population with μ = 70 and σ = 20. It is very unlikely…

A: Distribution of the Sample Mean: If the distribution of the population has mean μ and standard…

Q: A random sample of 15 male students and an independent random sample of 15 female students were…

A: Given Information : A random sample of 15 male students and an independent random sample of 15…

Q: A hypothesis test was performed to decide whether houses are more prone to being lost to fire than…

A:

Q: In the US, 55% of all people have type O blood, 30% have type A blood, 10% have type B blood and 5%…

A: Given n=98α=0.05 pTYPE O=0.55pTYPE A=0.30pTYPE B=0.10pTYPE AB=0.05

Q: Two random samples will likely have different means even if they are both the same size and both…

A: The two samples are selected randomly from same population.

Q: In a random sample of 100 ​items,15 are defective. If the null hypothesis is that 15% of the items…

A: Given info: In a random sample of 100 ​items,15 are defective. The null hypothesis is that 15% of…

Q: A large pizza chain has conducted a study to determine if the types of preferred pizza are…

A: Given :  A large pizza chain has conducted a study to determine if the types of preferred pizza are…

Q: In a survey of 480 drivers from the​ South, 393 wear a seat belt. In a survey of 350 drivers from…

A: Given : x1= 393 n1= 480 x2= 293 n2= 350 significance level, 0.09

Q: n order to compare the means of two populations, independent random samples of 225 observations are…

A: μ1 = population mean for sample 1 μ2 = Population mean for sample 2

Q: Two random samples are taken, one from among first-year students and the other from among…

A: Given : x1= 41.0 n1= 80 x2= 53.0 n2= 93 significance level, 0.035

Q: Two schools are investigating whether there is a difference in the proportion of students who attend…

A:

Q: In a survey, 45% of the respondents stated that they talk to their pets on the telephone. A…

A: Given,n=240x=104p^ =xn p^ =104240 p^ =0.4333H0 :P=0.45H1 : P<0.45α=0.01

Q: Suppose you want to test the claim that , #µ2. Two samples are randomly selected from each…

A: Given: The provide sample means are shown below X¯1=29 X¯2=27 also, the provided population standard…

Q: n a survey of families in which both parents work, one of the questions asked was, “Have you refused…

A: Given: n1=200n2=200p^1=0.29p^2=0.24α=0.05

Q: A marketing researcher wishes to determine if over 60% of the wine drinkers prefer a certain brand…

A: It is given that Sample size n = 900 Number of drinkers prefer the brand of wine, X = 558

Q: In a survey, 43% of the respondents stated that they talk to their pets on the telephone, A…

A: The hypothesized proportion is 0.43.

Q: In a survey, 45% of the respondents stated that they talk to their pets on the telephone. A…

A: From the provided information, The test statistic value z = -0.52. Level of significance (α) = 0.01

Q: In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A…

A:

Q: A manufacturer of shampoo claims that 42% of the shampoo users prefer brand X. To test this claim, a…

A: Solution-: Given: n=59,x=20,P0=0.42,α=0.1 Claim:  A manufacturer of shampoo claims that 42% of the…

Q: Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company…

A: Here we've to test that p= 28% = 0.28  So Hypothesis is, Ho: p=! 0.28 H1: p=0.28 Option (B) is…

Q: Suppose that in a random selection of 100 colored candies, 25% of them are blue. The candy company…

A:

Q: When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume…

A: Given: bb, bg , gb and gg are all equally likely

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.