In a large clinical trial, 401,885 children were randomly assigned to two groups. The treatment group consisted of 200,267 children given a vaccine for a certain disease, and 25 of those children developed the disease. The other 201,618 children were given a placebo, and 87 of those children developed the dis Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.10 significance level will be used to test the claim that p₁

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In a large clinical​ trial, 401,885 children were randomly assigned to two groups. The treatment group consisted of 200,267 children given a vaccine for a certain​ disease, and 25 of those children developed the disease. The other 201,618 children were given a​ placebo, and 87 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below.

3. In a large clinical trial, 401,885 children were randomly assigned to two groups. The treatment group consisted of 200,267 children given a vaccine for a
certain disease, and 25 of those children developed the disease. The other 201,618 children were given a placebo, and 87 of those children developed the disease.
Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below.
a. Assume that a 0.10 significance level will be used to test the claim that p₁ <p₂. Which is better: A hypothesis test or a confidence interval?
(1).
is better.
b. In general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; P-value method;
critical value method?
(2)
(3)
c. If a 0.10 significance level is to be used to test the claim that p₁ <p₂, what confidence level should be used?
are equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on
whereas the other method uses a standard deviation based on (4)
%
(Type an integer or a decimal.)
d. If the claim in part (c) is tested using this sample data, we get this confidence interval: -0.000374 P₁ P₂ -0.000239. What does this confidence interval
suggest about the claim?
Because the confidence interval (5).
the confidence interval consists (8)
(11).
there (7)
it appears that the first proportion is (10).
evidence to support the claim that the rate of polio is less for children given the vaccine than it is for children given a placebo.
(1) O A confidence interval (2)
O A hypothesis test
(9)
(5) O does not contain (6)
contains
estimated values of the population proportions,
the assumption that the two population proportions are equal,
the significance level,
O the critical value,
Confidence interval method and P-value method
O P-value method and critical value method
Confidence interval method and critical value method
the pooled sample proportion,
O 0,
O the significance level,
the pooled sample proportion,
O the critical value,
O 0,
(10)
a significant difference between the two proportions. Because
the second proportion. There is
(4) ○ the assumption that the two population proportions are equal.
estimated values of the population proportions.
(7) O does not appear to be
O appears to be
less than
greater than
O not significantly different from
(11) O sufficient
O insufficient
(8) ○ of values both less than and greater than
O only of values less than
O only of values greater than
Transcribed Image Text:3. In a large clinical trial, 401,885 children were randomly assigned to two groups. The treatment group consisted of 200,267 children given a vaccine for a certain disease, and 25 of those children developed the disease. The other 201,618 children were given a placebo, and 87 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.10 significance level will be used to test the claim that p₁ <p₂. Which is better: A hypothesis test or a confidence interval? (1). is better. b. In general, when dealing with inferences for two population proportions, which two of the following are equivalent: confidence interval method; P-value method; critical value method? (2) (3) c. If a 0.10 significance level is to be used to test the claim that p₁ <p₂, what confidence level should be used? are equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on whereas the other method uses a standard deviation based on (4) % (Type an integer or a decimal.) d. If the claim in part (c) is tested using this sample data, we get this confidence interval: -0.000374 P₁ P₂ -0.000239. What does this confidence interval suggest about the claim? Because the confidence interval (5). the confidence interval consists (8) (11). there (7) it appears that the first proportion is (10). evidence to support the claim that the rate of polio is less for children given the vaccine than it is for children given a placebo. (1) O A confidence interval (2) O A hypothesis test (9) (5) O does not contain (6) contains estimated values of the population proportions, the assumption that the two population proportions are equal, the significance level, O the critical value, Confidence interval method and P-value method O P-value method and critical value method Confidence interval method and critical value method the pooled sample proportion, O 0, O the significance level, the pooled sample proportion, O the critical value, O 0, (10) a significant difference between the two proportions. Because the second proportion. There is (4) ○ the assumption that the two population proportions are equal. estimated values of the population proportions. (7) O does not appear to be O appears to be less than greater than O not significantly different from (11) O sufficient O insufficient (8) ○ of values both less than and greater than O only of values less than O only of values greater than
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