Question
In: Statistics and Probability
A certain drug induces sleep in 80% of people who consume it. One researcher argues that...
A certain drug induces sleep in 80% of people who consume it. One researcher argues that if it is mixed with another newly developed drug the percentage of effectiveness would be higher. To determine if he is right, he independently selects a random sample of 16 patients and records the number Y of cases in which the mixture induced sleep. The hypotheses for this test are:
H_0 ∶p = 0.80 H_a ∶p> 0.80
where p is the proportion of patients in which the mixture of drugs under study induces sleep. a. If it is decided that the null hypothesis will be rejected if Y≥14, calculate the significance level α for this test.
b. The experiment is carried out and it is obtained that in y = 13 patients the drug mixture induces sleep.
1.Calculate the p-value of this test.
2.Infer if the null hypothesis is rejected and why, also mention what type of error could be made according to the inference.
c. Assuming that the true proportion of patients in which the drug mixture induces sleep is p = .85, calculate β, the probability of making a type II error.
Solutions
orchestra answered 1 year agoRelated Solutions
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