A farmer wants to investigate whether a new pesticide will decrease the proportion of pumpkin plants that are being eaten by bugs in the farmer’s pumpkin patches compared to the current pesticide being used. The farmer applied the old pesticide to patch A and the new pesticide to patch B. Let pApA represent the proportion of pumpkin plants eaten by bugs in patch A and pBpB represent the proportion of pumpkin plants eaten by bugs in patch B. Assume all conditions for inference were met. Which of the following are the correct null and alternative hypotheses to test whether the new pesticide results in fewer pumpkin plants eaten by bugs?     H0:pA>pBHa:pA=pBH0:⁢pA>pBHa:pA=pB A H0:pA=pBHa:pA>pBH0:pA=pBHa:pA>pB B H0:pA=pBHa:pA≠pBH0:pA=pBHa:pA≠pB C H0:pˆA=pˆBHa:pˆA≠pˆBH0:p^A=p^BHa:p^A≠p^B D H0:pˆA=pˆBHa:pˆA>pˆB

Q: If a study determines the difference in average salary for subpopulations of mechanical engineers…

A: Here Given  study determines the difference in average salary for subpopulations of mechanical…

Q: A car enthusiast wants to determine if his car indeed travel 640 km on  a full tank of a particular…

A:

Q: A researcher conducted an experiment to determine the effect of a lecturer's age on student…

A: This is an ANOVA test for a single factor Null and alternative hypothesis: Ho:  µ1 = µ2 = µ3  (All…

Q: A major car dealership has several stores in a big city. The owner wants to determine if there is a…

A: Given that  For Stores A  Sample size (n1)=55 Number of sales (X1)=30 For Stores B  Sample size…

Q: What is the alternative hypothesis? O All of the three schools have equal population mean student IQ…

A: For the given table What is null and alternative hypothesis ?

Q: A class has ten girls and three boys. If the teacher randomly picks ten students,what is the…

A:

Q: A social worker claimed that in a certain village 35% of girls still get married who are less than…

A: Given claim is the 35% of girls still get married who are less than 18 years old. Null Hypothesis:…

Q: A professor gives a multiple choice exam where each question has five choices. The professor decides…

A: Given  X=14 , n=100  H0:p=0.20  Vs   H1:p<0.20 alpha=0.05 phat=X/n

Q: Nhich of the following statements is NOT TRUE about the epresentativeness of sample?" If a…

A: a) If a researcher wanted to study about a small population, the proportion of her sample should be…

Q: A telecommunications company provided its cable TV subscribers with free access to a new sports…

A:

Q: In a random sample of 1500 voters from the state of New York, 670 identified themselves as…

A: It is given that p1 denotes the proportion of all Democrat and independent voters and p2 denotes…

Q: n automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase…

A:

Q: 3. In a sample of 100 residents of a colony 60 are found to be wheat caters and 40 rice eaters. Can…

A: Given: n=100, x = 60 are found to be wheat eaters. p=xn=60100=0.6 Here, the population proportion is…

Q: A Goodness of Fit Test is run to see if the proportion of hair color among students at a particular…

A: Given, N=150 Hair Expected Percent Observed Value Black 15% 38 Brown 50% 72 Blond 30% 29…

Q: 187 families have health insurance out of a random sample of 292 families. Kaiser states that the…

A: (c) To find the critical value use invNorm(). (d) From the information, the hypotheses test for…

Q: In a recent study, 100 males used a new weight-loss supplement, and 78 of them experienced weight…

A:

Q: A telecommunications company provided its cable TV subscribers with free access to a new sports…

A: Solution: Given information: n= 600 Sample size of television viewers. x= 100  subscribers replied…

Q: A second-stage smog alert has been called in a certain area of Los Angeles County in which there are…

A: If the sample size if fixed and the experiment drawn with replacement, the experiment follows…

Q: In a random sample of 1488 bachelor’s degree seeking college students, 804 earned their bachelor’s…

A: It is given that out of 1488 students, it is found that 804 earned their bachelor’s degree in 5…

Q: An education researcher claims that 57​% of college students work​ year-round. In a random sample of…

A: Given, The sample proportion is, The null and alternative hypothesis is:

Q: The college newspaper of a large Midwestern university periodically conducts a survey of students on…

A: given  he college newspaper of a large Midwestern university periodically conducts a survey of…

Q: Sally heard that last year, 40% of senior girls bought used prom dresses. She wants to test if the…

A: We have given that  Sally heard that last year, 40% of senior girls bought used prom dresses. She…

Q: Because 25 percent of the students in my morning statistics class watch eight or more hours of…

A:

Q: At a store, customers are randomly selected to participate In a survey. On Friday, there were 500…

A: Given: At a store customers are randomly selected to participate in a survey. On Friday, there were…

Q: In a study of pain relievers, 20 people were given product A, and all but 5 experienced relief. In…

A: Given data: Product  A : In a study of pain relievers, 20 people were given product A, and all but 5…

Q: In the Invisible Gorilla experiment, the assumption is that most observers in this experiment would…

A: Decision Rule: If the population proportion value(=0.75) falls inside the confidence interval, then…

Q: The Excellent Drug Company claims its aspirin tablets will relieve headaches faster than any oth…

A: Type I error: The type I error is the rejection of the null hypothesis when it is actually true.…

Q: It has been reported by the professors in many Computer Science departments that the drop-out rate…

A: Population is the set of all objects of interest. Sample is s subset of the population. It is not…

Q: Suppose dataset A has a sample size of 1500, while dataset B has a sample size of 150. In all other…

A: we know that as the sample size increases impact of prior decreases . but It is possible only with…

Q: A psychologist is interested investigating the proportion of depressed teenagers in a particular…

A: Given that  A psychologist is interested investigating the proportion of depressed teenagers in a…

Q: son Manufacturing is considering ordering electronic components from three dif ective components may…

A: Given,  The proportion of defective in the three categories,p=number of defectives/total number in…

Q: If a sample size is 84, comes from a population that is normally distributed, and the data is…

A: The assumptions of t-test are given as follows: The first assumption is that the scale of…

Q: The college newspaper of a large Midwestern university periodically conducts a survey of students on…

A: According to the provided information, the reporter let the students approach him/her for the…

Q: Consider a car seller who sells four brands (A, B, C, and D) of cars. He says that he does not give…

A: The claim of the test is that all the brands of cars are  equally important (equally likely). The…

Q: A major car dealership has several stores in a big city. The owner wants to determine if there is a…

A: It is given that x1= 30, n1=55, x2=42, and n2=60.

Q: 8. A researcher wishes to see if the five ways (drinking caffeinated beverages, taking a nap, going…

A: Introduction: Denote p1, p2, p3, p4, and p5 as the respective proportions of people who drink…

Q: An Army Commanding Officer has a patrol duty roster for 2 combat team and flip a coin for any combat…

A: In this situation Runs test is appropriate. The hypothesis is, Null hypothesis: The coin is fair.…

Q: It Is the alm of the Department of Health(DOH) to glve measles vaccine to infants. When a barangay…

A: One sample proportion z test: One sample proportion z test is a hypothesis test that is used to test…

Q: A student pursuing a degree in English as a second language believes the proportion female factory…

A: Given Information: Female: Sample size (n) = 313 Number of female factory workers who could not…

Q: If we do not have sufficient evidence to conclude Ha:u, > µ2, then this means that the measures in…

A: In testing of hypothesis, there are always two hypotheses - null and alternative. These two…

Q: A trucking company claims that when it ships eggs, 93% of the eggs will arrive unbroken. You check…

A: Assume that p is the true population proportion of unbroken eggs.

Q: If a police officer wants to find out whether the average speed of motorists on a highway with a…

A: Null hypothesis: It is a nullified statement about the population parameter. The signs that are…

Q: In a recent study, 50 males used a new weight-loss supplement, and 37 of them experienced weight…

A: Given information No of males = 50 No of person experienced weight loss = 37 No of Females = 25 No…

Q: The US justice system considers an accused person innocent until proven guilty and there has to be…

A: The US justice system considers an accused person innocent until proven guilty and there has to be…

Q: Were any assumptions required in order for this inference to be valid? a. Yes, the sample of…

A:

Q: A high school track coach wanted to test whether giving the students an energy drink could affect…

A: Solution : Given : n1 = 13            n2 = 13            x¯1 = 12.7   ( mean of first group )…

Q: At a local pool, a new swimming instructor (Teacher 1) is being evaluated by how many of his…

A: From the provided information,

Q: Two groups of children were given a set of coins (penny, dime, nickel, quarter, and half dollar) and…

A: Given Information: Low income group: Sample size n1=67 x1=13 drew nickel. High income group: Sample…

Q: In a matched-subjects design, each condition uses a separate group of subjects, but subjects are not…

A: Given: In a matched-subjects design, each condition uses a separate group of subjects, but subjects…

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.