Asha owns a car-wash and is trying to decide whether or not to purchase a vending machine so customers can buy coffee while they wait. She'll get the machine if she's convinced that more than 30% of her customers would buy coffee. She plans on taking a random sample of n customers and asking them whether or not they would buy coffee from the machine, and she'll then do a significance test using α=0.05 to see if the sample proportion who say "yes" is significantly greater than 30%. Suppose that in reality, it is actually 33% of her customers that would buy coffee. Which of the changes below would result in the highest power for her test?

Q: We would like to know if more than 43% of Spokane citizens favor an increase in the sales tax. We…

A: Given, The sample proportion is,

Q: A researcher is interested in the issue of cheating on college campuses. She conducts an anonymous…

A:

Q: A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were…

A: Given: p0=0.98α=0.01n=500x=480

Q: Nationally, 83% of Americans have earned a high school diploma.  We want to see if the proportion of…

A: Given, Nationally, 83% of Americans have earned a high school diploma.  We want to see if the…

Q: You are conducting a study to see if the proportion of voters who prefer Candidate A is…

A: Denote p as the true proportion of the voters who prefer candidate A.

Q: For a certain year a study reports that the percentage of college students using credit cards was…

A: Given that,possible chances (x)=40sample size(n)=50success rate ( p )= x/n = 0.8success…

Q: According to Money, 13 percent of all households own stocks. An economist wants to test this claim…

A:

Q: 2. A decade-old study found that the proportion, p, of high school seniors who believed that…

A: Given that,possible chances (x)=165sample size(n)=240success rate ( p )= x/n = 0.6875success…

Q: USA Today reported that about 47% of the general consumer population in the United States is loyal…

A: Given Datan = 984, x= 494, sample proportion is given by

Q: ecause the course seems too intimidating. The university administra nforms professors that the drop…

A: Let X be the number of persons possessing the given attribute in a sample of size 'n'. Let p denote…

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

A:

Q: A Gallup poll report revealed that 72% of teens said they seldom or never argue with their friends.…

A: Suppose p is the true proportion of teens in Yvonne’s school who rarely or never argue with their…

Q: 11% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those…

A: We have given that the hypothetical proportion p0=0.11, sample size n=317 and favourable number of…

Q: hypotheses for this test are Ho: P1 – P2 = 0 vs. Ha: P1 – P2 # 0 and x=0.05. What is the p-value?…

A: For sample 1, we have that the sample size is N1=100N_1= 100, the number of dead cases is X1=22X_1 =…

Q: A newspaper article claims that 92 percent of teens use social media. To investigate the claim, a…

A: Conditions to use a one sample proportion z test: Conditions to use a one sample proportion z test :…

Q: It has been claimed that at UCLA 43% of all students live on campus. Researcher Ebony Robinson…

A: Given X=112 n=250

Q: USA Today reported that about 47% of the general consumer population in the United States is loyal…

A: Given information n = 997, x= 496, p=0.47

Q: A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have…

A:

Q: A doctor is concerned that a drug treatment causes people to run a fever.  She recruited n = 50…

A: Given Data: n=50   There is only one sample

Q: What is the​ p-value?

A: Here sample size is too large so use z test for proportion

Q: An airline claims that luggage is rarely lost (does not arrive at the destination at the same time…

A: The population proportion is .The sample size is .

Q: in october 1947 the gallup organization surveyed 1000 adult americans and asked are you a total…

A: We have given thatn1 = 1000 , x1 = 378n2 = 1000 , x2 = 333Significance level (α) = 0.05Now,p̂1 =…

Q: returned within 24 hours. The Sample proportion p-hat is 99/125 = 0.792. The watchdog group wants…

A: Answer:- Given, Sample size , n = 125 The Sample proportion p-hat is 99/125 = 0.792  The airline…

Q: A marriage counselor has traditionally seen that the proportion p of all married couples for whom…

A: Given,n=220x=174population proportion(P)=0.76and α=0.01

Q: A marriage counselor has traditionally seen that the proportion p of all married couples for whom…

A:

Q: In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20…

A: Given that, In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern…

Q: For a sample of n=16 scores, how many scores are used to calculate the sample variance?

A:

Q: Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business,…

A: Solution: 1. Let X be the number of non-authentic names and n be the number of names from the list…

Q: Proctor & Gamble claims that at least half the bars of lvory soap they produce are 99.44% pure (or…

A:

Q: Can you conclude that the proportion of boys who are overweight differs from the proportion of girls…

A: Here use  proportion test for 2 sample

Q: According to a survey conducted by the Association for Dressings and Sauces, 20% of American adults…

A: Given: A survey is conducted by the Association for Dressings and Sauces. Let n denote the sample…

Q: Zenon decided to Investigate whether students at his school prefer name-brand potato chips to…

A: Given : Randomly selected students ( n ) = 50 Null and alt. hypo : H0 : p = 0.5  Ha : p > 0.5

Q: greater than the proportion of men. The null hypothesis is that there is no difference in the…

A: The p-value is a conditional probability of getting a test statistic as extreme or more extreme than…

Q: The “promotions manager” of a large cosmetics manufacturer wanted to investigate user acceptance…

A: The objective of the question is to identify the best statistical estimate for the proportion of all…

Q: In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20…

A:

Q: An airline claims that luggage is rarely lost (does not arrive at the destination at the same time…

A: From the provided information, it is interpreted that: The sample size, i.e., the no of sampled…

Q: A marketing manager fora cell phone company claims that the percentage of children aged 8-12 who…

A: Given that,  P= 61% = 0.61 sample size, n= 826 We know that p=X/n p=545/826 = 0.66 Then…

Q: USA Today reported that about 47% of the general consumer population in the United States is loyal…

A: From the given information, Sample size (n) =985 α = 0.01 Consider, x is a number of Chevrolet .…

Q: In a sample of 88 children selected from a city, 8 children suffer from asthma. What is the P-value…

A: Statistical hypothesis testing is an important method in inferential statistics. Statistical tests…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.