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: any companies want to target teenagers in advertisements by taking advantage of teenagers being…

A:

Q: An orange grower wishes to compute the average yield from her orchard. The orchard contains 3…

A: The orchard contains 3 varieties of trees: 50% of type A, 35% of type B, and 15% of type C.  Number…

Q: We are comparing a the price distributions for phones between two groups. That is, if X and Y are…

A:

Q: Assume that 40% of students at SCC receive A or B’s, 35% receive C’s, and 25% receive  D or F’s. A…

A: The following information has been provided: Categories Observed Value A 100 B 130 C 70…

Q: A pizza chain advertises that, in recent taste experiment in which their pizza (pizza A) was…

A: Expected value (E) =Total frequency 5

Q: A school administrator wants to see if there is a difference in the number of students per class for…

A: Confidence interval is an inference process which gives the plausible values of the population…

Q: The requirements for performing a one-sample t-test been met for the following reasons. The sample…

A: The objective is o define if the considered one-sample t-test is desired for testing the set-up…

Q: ntering freshmen in 2016 who graduated in the botom third f their high school class. Is there…

A: For z = 1.980 and for one tailed test,  the corresponding p value is 0.024 which can be obtained by…

Q: A local ice cream shoppe found that in a random survey of 80 customers, 27 got one scoop, 14 got two…

A: Total number of customer n=80 , 27 got one scoop, 14 got two scoops, 4 got three scoops, and 35 got…

Q: You intend to conduct a test of homogeneity for a contingency table with 3 categories in the column…

A:

Q: find the degrees of freedom?

A:

Q: To test the effectiveness of a new drug designed to relieve flu symptoms, 200 patients were randomly…

A: Given data: Significance level = 0.05 Given claim: The proportion of patients who took the drug was…

Q: Because of the increased cost of housing, a national real estate board wants to compare the…

A:

Q: A political analyst believes that a recent to support a in a senator's decision bill resulted drop…

A: Here, the claim is, senator’s recent decision to support a bill resulted in a drop of approval…

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: Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a…

A: Given: n1 = 6 n2 = 6 Formula Used: Test-statistic t = X1-X2sp1n1+1n2 sp = (n1-1)s12+(n2-1)s22n1+n2-2

Q: A physician wants to determine if a supplement is effective in helping men lose weight. She takes a…

A: It is given that the sample size (n) is 6 and the hypothesized test is left- tailed. The level of…

Q: suppose that the proportions of blood phenotypes in a particular population are as follows a=0.40…

A: Given Number of individuals = 3 and each individual independent to each other. P(a) = 0.40 , p(b) =…

Q: A researcher would like to determine whether there is any relationship between students’ grades and…

A: From the provided information, Sample size (n) = 100 Sample mean (M) = 3.25 Population standard…

Q: A recent study randomly selected women from various countries around the world and collected…

A:

Q: A researcher has participants expecting to receive either painful or mild electrical shocks during a…

A: Usually in survival analysis studies we can use both parametric and non-parametric statistics. For…

Q: You intend to conduct a test of homogeneity for a contingency table with 3 categories in the column…

A: Given: Number of categories in column c=3 Number of categories in Row r=3 The degrees of freedom for…

Q: The owner of a computer company claims that the proportion of defective computer chips produced at…

A: Given X1=12 X2=10 n1=80 n2=90

Q: A test that screens for illegal drug use, i.e. a“drug test," is used in a large population of people…

A: Define the events as follows: D: The selected individual uses drugs Dc: The selected individual does…

Q: Provide an example (different from the ones considered in this section) of a procedure based on a…

A: A researcher wants to test the effectiveness of the training program conducted for students to…

Q: Soon after the pandemic hit, some retailers (e.g. Trader Joe's) limited the number of customers that…

A: X be the waiting time for customers lined up outside one of these retailer. X follows Normal…

Q: The manufacturer of a new hybrid sports utility vehicle (SUV) states that, on average. it gets at…

A: Given: The manufacturer of a new hybrid sports utility vehicle (SUV) states that, on average. it…

Q: Suppose that a scientist is interested in determining if the proportion of females who prefer Diet…

A: Two sample Z test of proportions is the test to determine whether the two populations differ…

Q: Could you please highlight the correct answer. and explain it

A: The null hypothesis for a chi square independence test say that two categorical variables are…

Q: The records of a light bulb manufacturer show that, when the manufacturing machinery is working…

A: GivenThe defective rate is 1%i.e.,p=0.01sample size(n)=4400

Q: The type of household for the U.S. population and for a random sample of 409 households from the…

A: Null hypothesis: The distribution of Dove Creek households agrees with the U.S. distribution of…

Q: In a city, a radio programme hosted by Tao has long been very popular. Tao has just retired and gone…

A:

Q: A random sample of 100 men produced a total of 25 who favored a controversial local issue. An…

A: For men,Sample size, Number of favoring the issue, For women, Sample size, Number of favoring the…

Q: The owner of a computer company claims that the proportion of defective computer chips produced at…

A: Given  X1=12, n2=80, X2=10, n2=90  Hypothesis Ho: pA=pB vs H1: pA >pB

Q: An online bookseller is considering selling an e-reader but will only do so if they have evidence…

A: Let,  denote the number of customer who likely purchase an e-reader.Where, denote the number of…

Q: The results of the study of the occurrence of tuberculosis (TB) in a village in Malawi are given in…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Dr. James, a dermatologist, is creating a face wash for her patients with severe skin allergies.…

A:

Q: Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a…

A:

Q: FDIC bank failures. The Federal Deposit Insurance Corporation (FDIC) normally insures deposits of up…

A: X~Poisson distribution. Mean=29

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.