if you work as a physician in a medical office and want to test a new drug to see if it reduces the number of days patients suffer from upper respiratory infection.
what's the alternative hypothesis, make it directional.
what's the null hypothesis
say 12 out of 14 patients note relief using the drug. using the sign test and an alpha level .05 decide if you will reject or retain your alternative hypothesis.
what type of error could be made?
Null hypothesis, H0: New drug does not reduce the number of days patients suffer from upper respiratory infection.
Alternative hypothesis, H1: New drug reduces the number of days patients suffer from upper respiratory infection.
Let X=no. of patients relief using the drug
Then we conclude that new drug reduces the number of days patients suffer from upper respiratory infection.
Since we reject null hypothesis but it may be true so here Type I error is committed.
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