Verifying Requirements In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods of this section to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain.

Question

Verifying Requirements In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods of this section to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Express each of the following using the summation notation: a. [2X1 +2X2 +2X3][5X1 +5X2 +5X33] b...

A: Solution: We have to express each of given terms using the summation notation.a. [2X1 +2X2 +2X3][5X1...

Q: Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarize...

A: The class boundary between the third and fourth classes is obtained below:Introduction:For given cla...

Q: Diamond Pricing. In a Singapore edition of Business Times, diamond pricing was explored. The price o...

A: a).It is given that,Sample mean = $1,964.7.Sample standard deviation, s is $206.5.The sample size, n...

Q: Let 0 < a<1. For a t-curve, determine a. the t-value having area a to its right in terms of ta...

A: a)

Q: Another type of confidence interval is called a one-sided confidence interval. A one-sided confidenc...

A: Given dataTotal sample size = 1039sample mean(x̅) = 704.00sample standard deviation = 477.9895% conf...

Q: Suppose that you want to perform a hypothesis test for a population mean, µ. a. Express the null hyp...

A: Hypothesis testing:         Hypothesis testing was introduced by R.A.Fisher (Ronald Fisher).It is a ...

Q: Conclusions True or false: In hypothesis testing, it is never valid to form a conclusion of supporti...

A: Click to see the answer

Q: The boxplot below shows salaries for CPAS and Actuaries in a town. CPA Actuary 25 30 35 40 45 50 55 ...

A: From the boxplot of CPA, the value of median salary for CPA is = 45From the boxplot of Actuary, the ...

Q: Genetics: Simulating Population control A classical probability problem involves a king who wanted t...

A: As per the information given in the question, the King’s reasoning is not correct. Here the probabil...

Q: Can you help me solve and understand d-f? Given a=3 and b=4

A: (d) Product of x:The value of product of x is obtained as 210.

Q: Mega Millions As of this writing, the Mega Millions lottery is run in 44 states. Winning the jackpot...

A: Solution: We are given that:Winning the jackpot requires that you select the correct five different ...

Q: For a t-curve with df = 8, nd each t-value, and illustrate your results graphically. a. The t-value ...

A: According to the provided data, the degrees of freedom, df is provided as 8.(a) The level of signifi...

Q: Confidence Interval Assume that we will use the sample data from Exercise 1 with a 0.05 significance...

A: Given:Level of significance = α = 0.05Claim: The population mean is greater than 90 secConfidence in...

Q: Shaquille O’Neal Shaquille O’Neal was a professional basketball star who had a reputation for being ...

A: Step-by-step procedure for simulation using the TI-83/84 Plus calculator:Turn on the graphing calcul...

Q: Why is sampling often preferable to conducting a census for the purpose of obtaining information abo...

A: Taking a sample is speedy and more cost effective than carrying out a census, and more knowledge abo...

Q: Testing Claims about Proportions.  In Exercises, test the given claim. Identify the null hypothesis,...

A: Given Data:Smoking = 39Not Smoking = 32Therefore,n = 39+32 = 71x = 39Sample proportion =

Q: In each of Exercises, define the term given critical values

A: Click to see the answer

Q: Wildfires. Wildfires are uncontrolled fires that usually spread quickly and are common in wilderness...

A: The Boxplot and Histogram for the given data can be obtained as follows:Step-by-step procedure to ob...

Q: Politics The County Clerk in Essex, New Jersey, was accused of cheating by not using randomness in a...

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

Q: For the one-mean t-interval procedure, express the formula for the endpoints of a confidence interva...

A: The formula for a mean t-interval procedure is given as follows:

Q: Births: Sampling Distribution of Sample Proportion When two births are randomly selected, the sample...

A: The two births are randomly selected, the sample space for genders is bb, bg, gb, gg (where b = boy ...

Q: Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die...

A: Note:Hey there! Thank you for posting the question. However, since your question has more than 3 sub...

Q: A variable of a population is normally distributed with mean µ and standard deviation σ. For samples...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: 5 10 11 12 13 14 15 16 17 18 data Based on the boxplot above, identify the 5 number summary D Video ...

A: Solution: We have to determine the five number summary for the given boxplot

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Denote the x as the number of specified characteristics, the hypothesized proportion as p and the sa...

Q: Suppose x1 and x2 are predictor variables for a response variable y. a. The distribution of all poss...

A: a)

Q: Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesi...

A: Click to see the answer

Q: New Car Passion. Edmunds.com publishes information on new car prices in Car Shopping Trends Report. ...

A: a.Population:Population consists of the complete subjects that are included in the study for making ...

Q: Job Applicants The Society for Human Resource Management conducted a survey of 347 human resource pr...

A: a)Here, the number of respondents or the human resource professionals are 347 and 73% reported that ...

Q: In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, wh...

A: It is given that the boxplots of the reveals three outliers and they are questionable to remove.

Q: The Wind Mountain excavation site in New Mexico is an important archaeological location of the ancie...

A: a.The class width is calculated as follows:

Q: For what is normal population an abbreviation?

A: When the term normal population is used, the abbreviation of the context is that the population that...

Q: What is the relation between the significance level of a hypothesis test and the probability of maki...

A: Type I error:Probability of rejecting the null hypothesis when it is actually true.

Q: In each of Exercises, we provide a sample mean, sample size, sample standard deviation, and confiden...

A: a)Critical value:For 90% level of significance,

Q: Lightning Deaths The graph in Cumulative Review Exercise 5 was created by using data consisting of 2...

A: The confidence interval is obtained as follows:

Q: Random Digits Computers are commonly used to randomly generate digits of telephone numbers to be cal...

A: Uniform distribution:If the distribution of a continuous random variable is evenly spread for the ra...

Q: Fuel Expenditures. In estimating the mean monthly fuel expenditure, µ, per household vehicle, the En...

A: It is given that, n=6,841 and the sample standard deviation, s = 20.65.The confidence level is 95%. ...

Q: What is the difference in assumptions between the one-mean t-test and the one-mean z-test?

A: The One Sample t Test determines whether the sample mean is statistically different from a known or ...

Q: True/False  Characterize each of the following statements as being true or false. a. In a hypothesis...

A: a.P-value method: In this method, the P-value is compared with significance level for testing of hyp...

Q: Party Mix DJ Marty T is hosting a party tonight and has chosen 8 songs for his final set (including ...

A: The number ways in which 8 different songs playlist can be arranged in which the order matters is,8!...

Q: Two t-curves have degrees of freedom 12 and 20, respectively. Which one more closely resembles the s...

A: Condition for standard normal curve: If the sample size is large (>30), then the distribution fol...

Q: Bicycle Commuting Times. Acity plannerworking on bikeways designs a questionnaire to obtain informat...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...