In randomized, double-blind clinical trials of a new vaccine,infantswere randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose,126of387subjects in the experimental group (group 1) experienceddrowsinessas a side effect. After the second dose,158of574of the subjects in the control group (group 2) experienceddrowsinessas a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienceddrowsinessas a side effect than subjects in group 2 at theα=0.01level of significance?Verify the model requirements. Select all that apply. A.The sample size is less than 5% of the population size for each sample. B.n1p11−p1≥10and n2p21−p2≥10 C.The samples are dependent. D.The sample size is more than 5% of the population size for each sample. E.The samples are independent. F.The data come from a population that is normally distributed. Determine the null and alternative hypotheses. H0:p1▼ less than<equals=greater than>not equals≠p2H1:p1▼ less than<equals=not equals≠greater than>p2 Determine the P-value for this hypothesis test. nothing(Round to three decimal places as needed.) State the conclusion for this hypothesis test. A.RejectH0.Thereis notsufficient evidence to conclude that a higher proportion of subjects in group 1 experienceddrowsinessas a side effect than subjects in group 2 at theα=0.01level of significance. B.RejectH0.Thereissufficient evidence to conclude that a higher proportion of subjects in group 1 experienceddrowsinessas a side effect than subjects in group 2 at theα=0.01level of significance. C.Do not rejectH0.Thereissufficient evidence to conclude that a higher proportion of subjects in group 1 experienceddrowsinessas a side effect than subjects in group 2 at theα=0.01level of significance. D.Do not rejectH0.Thereis notsufficient evidence to conclude that a higher proportion of subjects in group 1 experienceddrowsinessas a side effect than subjects in group 2 at theα=0.01level of significance.

Name: In randomized, double-blind clinical trials of a new vaccine,infants
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Description: In randomized, double-blind clinical trials of a new vaccine,infantswere randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose,126of387subjects in

Given Information: Group 1: Sample size (n1) = 387 Out of which X = 126 experienced drowsiness as a…

Answered: In randomized, double-blind clinical…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

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In randomized, double-blind clinical trials of a new vaccine,

infants

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 second dose,

126

387

subjects in the experimental group (group 1) experienced

drowsiness

as a side effect. After the second dose,

158

574

of the subjects in the control group (group 2) experienced

drowsiness

as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced

drowsiness

as a side effect than subjects in group 2 at the

α=0.01

level of significance?

Verify the model requirements. Select all that apply.

The sample size is less than 5% of the population size for each sample.

n1p11−p1≥10

and n2p21−p2≥10

The samples are dependent.

The sample size is more than 5% of the population size for each sample.

The samples are independent.

The data come from a population that is normally distributed.

Determine the null and alternative hypotheses.

H0:

▼

less than<

equals=

greater than>

not equals≠

H1:

▼

less than<

equals=

not equals≠

greater than>

Determine the P-value for this hypothesis test.

nothing

(Round to three decimal places as needed.)

State the conclusion for this hypothesis test.

Reject

H0.

There

is not

sufficient evidence to conclude that a higher proportion of subjects in group 1 experienced

drowsiness

as a side effect than subjects in group 2 at the

α=0.01

level of significance.

Reject

H0.

There

sufficient evidence to conclude that a higher proportion of subjects in group 1 experienced

drowsiness

as a side effect than subjects in group 2 at the

α=0.01

level of significance.

Do not reject

H0.

There

sufficient evidence to conclude that a higher proportion of subjects in group 1 experienced

drowsiness

as a side effect than subjects in group 2 at the

α=0.01

level of significance.

Do not reject

H0.

There

is not

sufficient evidence to conclude that a higher proportion of subjects in group 1 experienced

drowsiness

as a side effect than subjects in group 2 at the

α=0.01

level of significance.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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