A doctor claims that less than 75% of the patients that he performs a knee replacement surgery on return to work in the first 3 months after the operation. A sample of 50 patients that had a knee replaced by the doctor showed that only 34 of them returned to work within 3 months of the surgery. Test the doctor’s claim at the 0.05 level of significance.

Q: (a)State the hypotheses that can be used to test for a significant difference between the population…

A: Given: p1^=4101000p2^=4201200

Q: A random sample of 300 male students at PCC shows that 230 of them have internet access at home…

A: Given data : x1= 230.0 n1= 300 x2= 290.0 n2= 350 significance level,…

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A: Given information p0 = 0.33 n = 107 n p0(1 - p0) = 107 x 0.33 x (1 – 0.33) = 23.7(Rounded upto 1…

Q: In a clinical trial, 17 out of 900 patients taking a prescription drug complaint of flu like…

A: From the provided information, Sample size (n) = 900 Out of which 17 patients taking a prescription…

Q: A study by Consumer Reports showed that 62% of supermarket shoppers believe supermarket brands to be…

A: Givenconsumer reports showed that 62% of supermarket shoppers believesupermarket brands to be good…

Q: A research conducted on a certain company last year showed that 25% of the employees would rather…

A: Hypothesis Ho:p=0.25H1:p>0.25Z=p-p^p^(1-p^)n

Q: A researcher claims that the incidence of a certain type of cancer is less than 5%. To test his…

A: In this context, a researcher claimed that the proportion of incidence of particular type of cancer…

Q: It has been reported that 60% of the adult population participate in computer hobbies during their…

A: Given : It has been reported that 60% of the adult population participate in computer hobbies during…

Q: In a clinical​ trial, 24 out of 880 patients taking a prescription drug daily complained of flulike…

A: Given information- Population proportion, p = 0.023 Sample size, n = 880 Significance level, α =…

Q: A study by Consumer Reports showed that 65% of supermarket shoppers believe supermarket brands to be…

A:

Q: A study showed that 66% of supermarket shoppers believe supermarket brands to be as good as national…

A:

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A:

Q: A consumer agency wants to determine whether there is a major difference between the proportions of…

A: Introduction: Denote p1, p2 as the true population proportions of cars of model and model 2,…

Q: A study by Consumer Reports showed that 62% of supermarket shoppers believe supermarket brands to be…

A: a.) The following information has been given: Hypothesized population proportion is p=0.62. Null and…

Q: An organization published an article stating that in any one-year period, approximately 11.5 percent…

A:

Q: Recently, a large academic medical center determined that 8 of 19 employees in a particular position…

A: Solution: Given data X = 8 n =19 Pi = .54 Level Of significance = 0.05

Q: In a sample of 137 leopards selected randomly from one preserve, it is found that 7 of them have…

A: H0 : p = 0.13 H1: p ≠ 0.13

Q: A random sample of 802 supermarket shoppers determined that 378 shoppers preferred generic-brand…

A:

Q: The manufacturer of a spot remover claims that hisproduct removes 90 percent of all spots. If, in a…

A: From the provided information, Sample size (n) = 200 Only 174 were removed with the manufacturer’s…

Q: 8% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those…

A: Given data number of success , x= 37.0 sample size, n = 367 population…

Q: In a clinical trial, 16 out of 861 patients taking a prescription drug daily complained of flulike…

A: Given that Sample size n = 861 Number of drug users experiencing flu like symptoms, X = 16 Level of…

Q: A well-known study of 22,000 male physicians was conducted to determine if taking aspirin daily…

A:

Q: In a National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that…

A: Given: n= 2300 ,x= 805 p= 0.33 ,significance level(∝)= 95.0 p̂= 805 / 2300 =define hypothesis;-

Q: Historically, the proportion of people who trade in their old car to a car dealer when purchasing a…

A: Solution: Given information: n= 115  Sample size  x= 46 success  p^=xn=46115=0.40 sample proportion…

Q: Historically, the proportion of people who trade in their old car to a car dealer when purchasing a…

A: use the theory of testing of proportion .using Z test

Q: A certain financial services company uses surveys of adults age 18 and older to determine if…

A: a. Null Hypothesis: H0:p1=p2 Alternative Hypothesis: Ha:p1-p2≠0 Test Statistic: From the given…

Q: An organization published an article stating that in any one-year period, approximately 8.2 percent…

A: Proportion z_test: If the given sample size is more than 30 or Population standard deviation is…

Q: A 2012 survey of 443 American adults indicates that 16% of cell phone owners do their browsing on…

A: Sample size of Americans adults is 443, that is, n = 443. It is given that the proportion of cell…

Q: A major credit card company is interested in the proportion of individuals who use a competitor’s…

A:

Q: determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?

A: Solution: Given that, Sample of size,n=65 Sample mean ,X_bar=6.6 Population s.d, sigma=1.1…

Q: A random sample of 100 soldiers indicates that 20% are married in year 1, while 30% are married in…

A: Given  n1=100n2=100p1^=20%=20100=0.2p2^=30% =30100=0.3

Q: A researcher claims that based on the information obtained from the Centers for Disease Control and…

A: Given: 17% of young people ages 2-19 are obese Randomly select 200 people and 42 found obese. X= 42…

Q: adult population play video games in their leisure time. A random sample of 195 U.S. adults found…

A: Solution

Q: A certain financial services company uses surveys of adults age 18 and older to determine if…

A: Here 2 proportion of Z test statistics is applicable.   ===========================

Q: A research center claims that 31% of adults in a certain country would travel into space on a…

A: To testH0:p=0.31H1:p≠0.31 where p0=0.31

Q: A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly…

A: Given: A manufacturer of chocolate chips would like to know whether it's bag filling machine works…

Q: A survey of 1000 adults from a certain region​ asked, "If purchasing a used car made certain…

A:

Q: 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects…

A:

Q: In a random sample of 1022 U.S. adults, 480 think that the U.S. government is doing too little to…

A: Hypotheses:   Here p1 and p2 be the two proportions. The aim is to check whether p1= p2. The null…

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A: Given information: According to a government agency for a large country, the proportion of fatal…

Q: A study of 200 randomly selected occupants in passenger cars and 250 randomly selected occupants in…

A: Here, p1 represents the proportion of occupants in passenger cars and p2 represents the proportion…

Q: The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for…

A: Solution: The null and alternative hypothesis are  Ho: p= value for areas without nuclear…

Q: One of the early studies linking smoking and lung cancer compared patients hospitalized with lung…

A: P-value is used for making decisions about the hypothesis test regarding whether to accept or reject…

Q: Thus, the final conclusion is that ... The data suggest the population proportion is not…

A:

Q: A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be…

A: We have given that  Sample size n= 100 Favorable cases x = 54 Sample proportion p^=x/n…

Q: In a clinical trial, 25 out of 869 patients taking a prescription drug daily complained of flulike…

A:

Q: In the process to reduce the number of death due to dengue fever, district A and B, each consisting…

A:

Q: Of a random sample of 100 college students, 35 expected to achieve a higher standard of living than…

A: Since, we need to compare lower standard of living with higher standard of living. Therefore, out of…

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.