Question

In a large clinical trial, 398,890 children were randomly
assigned to two groups. The treatment group consisted of 200,145
children given a vaccine for a certain disease, and 40 of those
children developed the disease. The other 198,745 children were
given a placebo, and 159 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)_____ are equivalent, in that they will always lead to the same
conclusion. Both of these methods use a standard deviation based on
(3)_____ whereas the other method uses a standard deviation based
on (4)_____

c. If a 0.10 significance level is to be used to test the claim
that p1<p2, what confidence level should be used?

_____% (Type an integer or a decimal.)

d. If the claim in part (c) is tested using this sample data, we
get this confidence interval:

-0.000691<p1-p2<-0.000509. What does this confidence interval
suggest about the claim?

Because the confidence interval (5)_____ (6)_____ there (7)_____ a
significant difference between the two proportions. Because the
confidence interval consists (8)_____ (9)_____ it appears that the
first proportion is (10)_____ the second proportion. There is
(11)_____ 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) A hypothesis test

A confidence interval

(2) Confidence interval method and P-value method

P-value method and critical value method

Confidence interval method and critical value method

(3) the assumption that the two population proportions are
equal,

estimated values of the population proportions,

(4) estimated values of the population proportions.

the assumption that the two population proportions are equal.

(5) contains

does not contain

(6) the critical value,

0,

the pooled sample proportion,

the significance level,

(7) appears to be

does not appear to be

(8) only of values greater than

of values both less than and greater than

only of values less than

(9) 0,

the significance level,

the pooled sample proportion,

the critical value,

(10) greater than

less than

not significantly different from

(11) insufficient

sufficient

Answer #1

**A
Hypothesis test** is better.

b) (2) **P-value method
and critical value method** are equivalent, in that they
will always lead to the same conclusion. Both of these methods use
a standard deviation based on (3) **estimated values of the
population proportions** whereas the other
method uses a standard deviation based on (4) **the assumption that the two
population proportions are equal.**

c) **90%**

d) Because the confidence interval (5) **does not
contain** (6) **0** there (7) **appears to be**
a significant difference between the two proportions. Because the
confidence interval consists (8) **only of values less than** (9)
**0**
it appears that the first proportion is (10) **less than** the second
proportion. There is (11) **sufficient**
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.

In a large clinical trial, 398,911 children were randomly
assigned to two groups. The treatment group consisted of 201,014
children given a vaccine for a certain disease and 32 of those
children developed the disease. The other 197,897 children were
given a placebo, and 99 of those children developed the disease.
Consider the vaccine treatment group to be the first sample.
Identify the values of n1 P1,q1,n2, P2, q2. p, and q

In a large clinical trial, 394,299 children were randomly
assigned to two groups. The treatment group consisted of 195,477
children given a vaccine for a certain disease, and 26 of those
children developed the disease. The other 198,822 children were
given a placebo, and 91 of those children developed the disease.
Consider the vaccine treatment group to be the first sample.
Identify the values of n 1, p1, q1,n2,p2,q2, p,and q .

9.1.4
In a large clinical trial,
397 comma 425
children were randomly assigned to two groups. The treatment
group consisted of
199 comma 548
children given a vaccine for a certain disease, and
37
of those children developed the disease. The other
197 comma 877
children were given a placebo, and
133
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
0.05
significance...

In a large clinical trial, 393 comma 153 children were randomly
assigned to two groups. The treatment group consisted of 196 comma
369 children given a vaccine for a certain disease, and 31 of
those children developed the disease. The other 196 comma 784
children were given a placebo, and 118 of those children developed
the disease. Consider the vaccine treatment group to be the first
sample.
If a 0.01 significance level is to be used to test the claim...

In a large clinical trail, 394,187 children were randomly
assigned to tow groups. The treatment group consisted of 198,476
children given a vaccine for a certain disease and 40 of those
children developed the disease. The other 195,711 children were
given a placebo and 129 of those children developed the
disease.
1. n1 =
2. p1 =
3. q 1 =
4. n2 =
5. p2
6. q2
7 p =
8 q =

In a large clinical trial,
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...

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...

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...

In? randomized, double-blind clinical trials of a new? vaccine,
children were randomly divided into two groups. Subjects in group 1
received the new vaccine while subjects in group 2 received a
control vaccine. After the first? dose, 118 of 746 subjects in the
experimental group? (group 1) experienced fever as a side effect.
After the first? dose, 51 of 623 of the subjects in the control
group? (group 2) experienced fever as a side effect. Construct a
99?% confidence interval...

10,00010,000 individuals are divided evenly into two groups. The
treatment group is given a vaccine and the control group is given a
placebo. 9595 of the 5,0005,000 individuals in the treatment group
developed a disease. 125125 of the 5,0005,000 individuals in the
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