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, 118 of 730 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 75 of 611 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the α = 0.10 level of significance? r-r E. The data come from a population that is normally distributed. F. The samples are dependent. Determine the null and alternative hypotheses. Ho: P1 = P₂ H₁: P₁ > P₂ Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value.

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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, 118 of
730 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 75 of 611 of
the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher
proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the x = 0.10 level of
significance?
E. The data come from a population that is normally distributed.
F. The samples are dependent.
Determine the null and alternative hypotheses.
Ho: P₁
H₁: P₁ > P₂
Find the test statistic for this hypothesis test.
(Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
Interpret the P-value.
= P₂
Transcribed Image Text: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, 118 of 730 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 75 of 611 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the x = 0.10 level of significance? E. The data come from a population that is normally distributed. F. The samples are dependent. Determine the null and alternative hypotheses. Ho: P₁ H₁: P₁ > P₂ Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. = P₂
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