Question

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 for testing a claim about two population proportions 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. Choose the correct answer below. A. The requirements are not? satisfied; the samples are not simple random samples that are independent. B. The requirements are? satisfied; the samples are simple random samples that are? independent, and for each of the two? groups, the number of successes is at least 5 and the number of failures is at least 5. C. The requirements are? satisifed; the samples are simple random samples that are? independent, and for each of the two? groups, the sample size is at least 1000. D. The requirements are not? satisfied; the difference between the rates of those that developed polio in the two groups is not statistically significant.

Answer #1

Correct option:

B. The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5.

EXPLANATION:

Conditions for two - proportion Z - test:

1. The sampling method for each population is Simple Random Sampling.

2. The samples are independent.

3. Each sample includes at least 5 successes and 5 failures.

4. Each population is at least 10 times as big as its sample.

It is noted that in the given test, all the 5 conditions are satisfied.

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
for testing a claim about two population proportions to test the
claim that the rate of polio...

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369 children given a vaccine for a certain disease, and 31 of
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9.1.4
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397 comma 425
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199 comma 548
children given a vaccine for a certain disease, and
37
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197 comma 877
children were given a placebo, and
133
of those children developed the disease. Consider the vaccine
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a. Assume that a
0.05
significance...

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393 comma 658
children were randomly assigned to two groups. The treatment
group consisted of
197 comma 588
children given a vaccine for a certain disease, and
36
of those children developed the disease. The other
196 comma 070
children were given a placebo, and
111
of those children developed the disease. Consider the vaccine
treatment group to be the first sample. Identify the values of
n 1
p 1
q 1
n 2
P2...

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1. n1 =
2. p1 =
3. q 1 =
4. n2 =
5. p2
6. q2
7 p =
8 q =

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