Physicians at a clinic gave what they thought were drugs to 800 patients. The doctors later...

Physicians at a clinic gave what they thought were drugs to 800 patients. The doctors later learned that the drugs were really placebos. 53% of the patients reported an improved condition even though they weren't actually taking a drug. It is known that without a taking drug the probability of a patient's condition improving is 0.49. Test the hypothesis that the proportion of patients improving after taking a placebo is greater than 0.49.

(a) State the null and alternative hypotheses.

H0 :
H1 :

(b) Find the rejection region.

Reject H0 if z>

(c) Find the test statistic. (Round your final answer to at least 2 decimal places.)

z=

(d) Find the p-value.

p-value =

(e) Does this sample provide evidence that the proportion of patients improving after taking a placebo is greater than 0.49? (Type: Yes or No )

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Expert Solution

orchestra answered 1 year ago

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