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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 second​ dose, 120 of 407 subjects in the experimental group​ (group 1) experienced drowsiness as a side effect. After the second​ dose, 130 of 638 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 alphaequals0.01 level of​ significance?

Respuesta :

Answer:

The evidence suggests that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the alphaequals0.01 level of​ significance

Step-by-step explanation:

Given that in a randomized, double-blind clinical trials of a new​ vaccine, children were randomly divided into two groups.

[tex]H_o: p_1=p_2\\H_a: p_1>p_2[/tex]

Group        n                    x                 p                     Std error

I                407                120            0.295                 0.0226

II                678                130            0.192                 0.01513

The evidence suggests that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the alpha equals 0.01 level of​ significance

p difference =0.1031

std error =0.026045

z=3.9046

p=0.0001

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