A random sample of 200 items from factory 1 is examined and found to contain 26 defective items. Another random sample of 200 similar items from factory 2 is found to contain 7% defective items. State and test the hypothesis that both factories produce the same proportion of defective items at 5% significance level.

Q: In 2010, a medical research group reported the results of an experiment to evaluate the…

A: Introduction: The chi-square test of homogeneity is suggested to be used here, in order to evaluate…

Q: In a large clinical trial, 399,342 children were randomly assigned to two groups. The treatment…

A: Solution

Q: A college department pilots a New program with 9 of its 20 students and compares income in each…

A: The following data is provided:  New  Old 144 98 18 64 45 80 70 23 341 0 66 11 34…

Q: In a random sample of Formula 1 drivers, 161 were European and 39 were not. Use a 0.05 significance…

A: Given: n = 161 x = number of drivers who are not Europeans  x = 39 Sample proportion P = 39/161 =…

Q: Suppose that in a random selection of 100 colored​ candies, 23​% of them are blue. The candy company…

A:

Q: A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 577577 women and…

A:

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

A: There are 110 of 367 subjects in the experimental group1 experienced drowsiness as a side effect and…

Q: in the study, 368 babies were born, and 210 of them were girls. Use the sample data with a 0.01…

A: Null Hypothesis: H0: The probability of a baby being a girl is not greater than 0.05. Alternative…

Q: Just before the presidential election in November 2020, a local newspaper conducted a poll of…

A: Given:x1=120, n1=250x2=132, n2=240   Then,p^1=x1n1=120250=0.48p^2=x2n2=132240=0.55…

Q: In a random sample of 400 electrical components, 88 are found to be defective. If the hypothesis is…

A: Since, there is only one sample, them the z-test for one sample is used. Here,  n=400p^=88400=0.22…

Q: In a simple random sample of 78 NCAA Division III Football games, the team that scored first won the…

A: Denote p as the true proportion of teams that scores first, win the game.

Q: In a random sample of Toyota car owners, 83 out of 112 said they were satisfied with the Toyota…

A: Given that,sample one, x1 =83, n1 =112, p1= x1/n1=0.7411sample two, x2 =76, n2 =120, p2=…

Q: 1) In a random sample of 360 women, 65% favored stricter gun control laws. In a random sample of 220…

A: p1 = 0.65p2 = 0.6   n1 = 360n2 = 220

Q: In a large clinical trial, 390,256 children were randomly assigned to two groups. The treatment…

A:

Q: An exercise science major is planning to investigate the hypothesis that diet plus exercise is more…

A:

Q: 1. A sample of 800 items produced on a new machine showed that 48 of them are defective. The factory…

A: We have given that the information in a 5 different problems of population proportion z-test.…

Q: Since an instant replay system for tennis was introduced at a major tournament, men challenged 1429…

A: State the hypotheses. That is, the true proportion of men and women have success in challenging…

Q: In a random sample of soldiers who fought in the Battle of Preston, 774 soldiers were from the New…

A: The hypotheses are given below: Null hypothesis: H0:p=0.25 Alternative hypothesis: H1:p>0.25 The…

Q: The producer of a TV special expected about 40 percent of the viewing audience to watch a rerun of a…

A:

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

A: Let n1 and n2 be the sample size for group 1 and group 2 respectively and x1 and x2 is the number of…

Q: In a random sample of soldiers who fought in the battle of Preston 774 soldiers were from the new…

A: Solution: It is required to test the claim that fewer than one quarter of the soldiers were…

Q: A computer manufacturer believes that the proportion of hardware malfunctions is different in humid…

A: Given: n1=n2=400x1=44x2=24 Let p1 denote the proportion of machines from humid climate and p2 denote…

Q: A soda company distributes diet cola in bottles label 32 oz. The Department of Trade and Industry…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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

A:

Q: Are females more likely than males to stay in an unsatisfactory job? To answer this question, Fox-…

A: The hypotheses are given below: Null hypothesis: H0:p1≤ p2 Alternative hypothesis: H1:p1>p2 Test…

Q: In a clinical trial, 29 out of 894 patients taking a prescription drug daily complained of flulike…

A: The lower and upper bound of the confidence interval is computed by p^±z(SE), where z depends on the…

Q: this provide convincing evidence that a majortiy of American supported nuclear arms reduction at the…

A:

Q: In a clinical trial, 19 out of 878 patients taking a prescription drug daily complained of flulike…

A: Solution: Given information: n= 878 Sample size  x = 19 success  p^=xn=19878= 0.02164  Sample…

Q: An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail…

A: Given, An online clothing retailer is testing a new e-mail campaign by sending one version of the…

Q: A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who…

A: Solution: Let p1 be the proportion of urban residents subscribes to Sporting news and p2 be the…

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

A: It is given that the sample size of group 1 is 361 and the number of side effect subjects is 111.The…

Q: According to the National Highway and Traffic  Safety Administration,  the proportion of fatal…

A: D) The conditions for hypothesis testing of proportion are: np≥10n(1-p)≥10, here, n represents…

Q: A cancer research group surveys a random sample of 400 women more than forty years old to test the…

A: Sample size , n = 400 women more than forty years old 140 women in the sample respond affirmatively…

Q: In a clinical​ trial, 24 out of 881 patients taking a prescription drug daily complained of flulike…

A: The sample size is 881, number of success is 24.

Q: A researcher was interested in comparing the heights of women in two different countries.…

A: Given : Claim : The mean height of women in country A is greater than the mean height of women in…

Q: A survey is conducted to determine if there is a difference in the proportion of students, parents,…

A: Given info: Since P-value is greater than any reasonable significance level, there is not convincing…

Q: Suppose that in a particular country there is substantial sex selection in favor of male fetuses: 57…

A: GivenThe null and alternate hypothesisH0:p=0.512Ha:p>0.512 Level of significance =0.01 or 1%The…

Q: In a large clinical trial, 395,389 children were randomly assigned to two groups. The treatment…

A: Given information: Null hypothesis: H0: P1≥P2 Alternate hypothesis: HA: P1<P2 The significance…

Q: Since an instant replay system for tennis was introduced at a major tournament, men challenged 1413…

A: Q = 1 - P = 0.7063 Test Statistic is given by:Z = (0.2951 -0.291)/0.0205 = 0.20 So, Z = 0.20

Q: A general manager of the Mega Mart supermarket chain is studying the method of payment used by the…

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

Q: A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 566 women and 465…

A:

Q: An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail…

A: Given, An online clothing retailer is testing a new e-mail campaign by sending one version of the…

Q: In a large clinical trial, 397,922 children were randomly assigned to two groups. The treatment…

A:

Q: The owner of a machine shop must decide which of two snack-vending machines to install in his shop.…

A:

Q: ation reminders sent; 248 registered to vote Group 2:  600 potential voters; registration reminders…

A: Group 1:  500 potential voters; no registration reminders sent; 248 registered to vote X1: The…

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

A:

Q: Independent random samples of 27 people living on the west side of a city and 26 people living on…

A: We have given that  Sample Proportion 1 (\hat p_1)(p^​1​) = 0.50940.5094 Favorable Cases 1…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.