Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They recorded the proportion of rats that were cured when given the existing drug (sample 1 proportion) and the proportion of rats that were cured when given the new drug (sample 2 proportion).

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Pharmaceutical scientists tested the effectiveness of a new drug designed to cure
malaria. They recorded the proportion of rats that were cured when given the
existing drug (sample 1 proportion) and the proportion of rats that were cured
when given the new drug (sample 2 proportion).
The 95% confidence interval for the difference in the proportion of cured rats
between these two groups was (-0.18, 0.32). Interpret this interval.
O pl is substantially less than p2, therefore we can be 95% confident that the proportion
of rats cured is substantially lower when given the existing drug.
p1 is similar to p2, therefore we can be 95% confident that the proportion of rats cured is
similar, whether given the new drug or the existing drug.
O p1 is substantially more than p2, therefore we can be 95% confident that the proportion
of rats cured is substantially higher when given the existing drug.
Transcribed Image Text:Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They recorded the proportion of rats that were cured when given the existing drug (sample 1 proportion) and the proportion of rats that were cured when given the new drug (sample 2 proportion). The 95% confidence interval for the difference in the proportion of cured rats between these two groups was (-0.18, 0.32). Interpret this interval. O pl is substantially less than p2, therefore we can be 95% confident that the proportion of rats cured is substantially lower when given the existing drug. p1 is similar to p2, therefore we can be 95% confident that the proportion of rats cured is similar, whether given the new drug or the existing drug. O p1 is substantially more than p2, therefore we can be 95% confident that the proportion of rats cured is substantially higher when given the existing drug.
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