The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Using the P-Value from the previous question, what is the conclusion of our hypothesis test at the α = 0.05 significance level?

Q: You are a research assistant at a zoo. The question of your study is "Has the proportion of baby…

A: Given data: Significance level = 0.05 Claim :  Has the proportion of baby zebras born in zoos…

Q: claimed that 3% of professional golfers are left-handed. Believing this claimed value is incorrect,…

A: Given that Level of significance =alpha =0.05 And  P-value =0.01

Q: A statistics student believes that black cars are less likely to receive tickets for moving…

A: It is given that the P-value is 0.24.

Q: The average price per square foot for a home in a large county in a certain state is $225. The…

A: Given that the claim is the average price per square foot for a home in a large county in a certain…

Q: Consider a hypothesis test of the claim that following a particular diet reduces the likelihood of…

A: Here we consider a hypothesis test of the claim that following a particular diet reduces the…

Q: What is the test statistic for this sample? (Report answer accurate to three decimal places.) test…

A: Given that Sample size n = 380 Number of success, X = 215 Level of significance = 0.002

Q: A hypothesis test is conducted at the α = 0.05 significance level and the null hypothesis is not…

A: Given :  A hypothesis test is conducted at the α = 0.05 significance level and the null hypothesis…

Q: Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the…

A: We want to test the hypothesis

Q: Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of…

A: Let X be the number of students failed the test and n be the sample size..Given that X=12 and n=…

Q: there anything else about the experiment in Question 2 which would cast doubt on the reliability of…

A: Given Group of Motorist % of new compound Average mm  1 5 8 2 5.5 8.4 3 6 8.6 4 6.5 8.8…

Q: I am having trouble with this problem:   In a study of the accuracy of fast food​ drive-through…

A:

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

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A test of Hō: p = 0.4 versus Ha: p > 0.4 has the test statistic z = 2.52. Part A: What conclusion…

A: To test the hypothesis :The value of the test statistics is z=2.52

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

A:

Q: Ride services are on the rise, such as Uber and Lyft. You wondered if the recent news reports of…

A: Given  19 males use ride services and 11 do not. 12 females use ride services and 18 do not.

Q: The American Automobile Association claims that the average daily cost for meals and lodging for…

A: We have given that Sample mean (x̅1) = 218Sample mean (x̅2) = 208Sample size (n1) = 35Sample size…

Q: We determine if we have evidence against the null hypothesis, in favor of the alternative…

A: We have statement gien that:

Q: What is the p-value and the correct decision for this   test?

A: Given : n=50 , X=18 , p0=0.40 , α=0.05 Our aim is to find the p-value and the correct decision for…

Q: (1) We are conducting many hypothesis tests to test a claim. Assuming the null hypothesis is true,…

A: Since you have asked multiple question, according to our guidelines we will solve the first question…

Q: You have a one-sided hypothesis test with alpha level 0.05 and p-value of 0.04. Which of the…

A: Given: α=0.05P-Value=0.04

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

A: From the provided information, Sample size (n) = 69 From which 57 potential voters prefer candidate…

Q: a large state University located just a bit North of us. Your null hypothesis is that the overall…

A:

Q: A news article that you read stated that 52% of voters prefer the Democratic candidate. You think…

A: Given Information- Sample size, n = 266 Significance level, α = 0.05 Sample proportion is,…

Q: You are conducting a study to see if the probability of a true negative on a test for a certain…

A: Given that: n=415  x=361 Hypothesis, H0:p=0.85 H1:p≠0.85 The test is a two-tailed test.

Q: At least one of the answers above is NOT correct. An Office of Admission document claims that 55.4%…

A:

Q: The American Automobile Association claims that the average daily cost for meals and lodging for…

A: Given that: Texas North Carolina n1=35 n2=50 x¯1=218 x¯2=208 s1=28 s2=15

Q: Consider a drug that is used to help prevent blood clots in certain patients. In cinical trials,…

A:

Q: What type of error is possible in this situation?

A: A 2011 survey, by the Bureau of Labor Statistics, reported that 91% of Americans have paid leave. In…

Q: A Chicago-based firm has documents that must be quickly distributed between two delivery services,…

A:

Q: Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that…

A: Type I error: In hypothesis testing the Type I error is said to be committed when true null…

Q: Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test;…

A: n1 = 26 n2 = 49   The degree of freedom  df = n1 + n2 -2 df = 26 + 49 -2 = 73 Critical Value t =…

Q: What decision should the researcher make based on the results of the hypothesis test

A: Test is that whether or not the proportion of high school athletes who go on to play sports in…

Q: You are conducting a study to see if the probability of catching the flu this year is significantly…

A: Suppose p as the probability of catching the flu this year.

Q: In a study of 810 randomly selected medical malpractice lawsuits, it was found that 499 of them were…

A:

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

A: The aim is to check whether the proportion of voters who prefer Candidate A is significantly…

Q: Consider a hypothesis testing situation in which the null hypothesis is p = 0.48 and the alternative…

A:

Q: An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800…

A: It is known that if the p-value is less than the level of significance, the null hypothesis is…

Q: Suppose the results indicate that the null hypothesis should not be rejected; thus, it is possible…

A: Type II error: Failing to reject the null hypothesis, when it is false. Here, it is given that type…

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

A: Given,n=80x=54p^=xnp^=5480=0.675α=0.01

Q: er per population for people 25 years age. 5 124 99 134 121 110 116 113 96 116 116 135 96 sample of…

A: From the data given   There is no difference in rate of Hay fever 0"…

Q: A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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.