A medical researcher gives a new muscle relaxant to 200 patients and determines

Question

A medical researcher gives a new muscle relaxant to 200 patients and determines that 156 have beneficial results. The muscle relaxants currently in use have a success rate of 0.7. Test whether the new drug is superior to the existing drugs. a) Choose the null hypothesis, by recording the letter of your choice from below HO: p 0.78 H0: p = 0.7 HO: p > 0.78 O: p0.7 Submit Answer Tries 0/1 b) Choose the alteraive hypothesis, by recording the letter of your choice from below Ha: p>0.7 Ha: > 0.7 Ha: 0.78 Ha: p 0.78 Submit Answer c) What is the value of the test statistic? Give your answer to two digits past the decimal d) What is the P value or significance probability? Give your answer to 3 places past the decimal, without a leading zero. e) Choose the appropriate conclusion. Tries 0/1 Tries 0/5 Tries 0/5 Submit Answer Submit Answer no evidence against the null hypothesis weak evidence against the null hypothesis strong evidence against the null hypothesis very strong evidence against the null hypothesis Submit Answer Tries 0/2

Explanation / Answer

Solution:

a) H0: p = 0.7.

b) Ha: p > 0.7

c) Standard deviation, = sqrt[ P*(1-P)/n]
= sqrt[0.7*(1-0.7)/200] = 0.0324037

Test statistic, z = (p -P)/ = ((156/200) - 0.7)/0.0324037 = 2.47

d) p-value = 0.007

e) Strong evidence against the null hypothesis, since the probability is only 0.7%.

Very strong evidence would be used if the p-value is less than 0.001.

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