A topic or recent clinical interest is the possibility of using drugs to reduce infarct size is patients who have myocardial infarction within the past 24 hours. Suppose we know that in untreated patients the mean infarct size 25 (ck - g-EQ/m). Furthermore, in 8 patients treated with a drug the mean infarct size is 16. Suppose σ = 10 . Is there statistical evidence the drug is effective in reducing infarct size?

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04-05-2022
Mathematics

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A topic or recent clinical interest is the possibility of using drugs to reduce infarct size is patients who have myocardial infarction within the past 24 hours. Suppose we know that in untreated patients the mean infarct size 25 (ck - g-EQ/m). Furthermore, in 8 patients treated with a drug the mean infarct size is 16. Suppose σ = 10 . Is there statistical evidence the drug is effective in reducing infarct size?

Sagot :

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AFOKE88 AFOKE88 · Answer 1 · 2022-05-05T12:31:11-04:00

Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.

How to find hypothetical Evidence?

Let us first define the hypotheses;

Null Hypothesis; H₀: µ = 25

Alternative Hypothesis; H₁: µ < 25

Standard Deviation; σ = 10

Sample mean; x' = 16

Sample size; n = 8

z-score is;

z = (16 - 25)/(10/√8)

z = -2.55

From online z-score table, the p-value is 0.005

Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.

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How to find hypothetical Evidence?

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