19. (18 pts) A randomized trial was performed to determine whether patients receiving drug therapy plus an electrical cardiac device (treatment group) versus drug therapy alone (control group) could reduce future hospitalizations. The data below represent the frequencies of individuals randomized to the treatment and control groups and the number of hospitalizations for each group.
Control Treatment
(Drugs alone) (Drugs plus electrical cardiac device)
Hospitalized 88 82
Not Hospitalized 132 156
Answer:
Question 19:
(a) 0.0555
(b) z = 1.23
The probability is 0.2196.
(c) Since the p-value (0.2196) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Therefore, we cannot conclude that the rates of hospitalization in the treatment group is actually different.
p1 | p2 | pc | |
0.4 | 0.3445 | 0.3712 | p (as decimal) |
88/220 | 82/238 | 170/458 | p (as fraction) |
88. | 82. | 170. | X |
220 | 238 | 458 | n |
0.0555 | difference | ||
0. | hypothesized difference | ||
0.0452 | std. error | ||
1.23 | z | ||
.2196 | p-value (two-tailed) |
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