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Below, identify: a) The null hypothesis b) The alternative hypothesis c) The test statistic d) The P-value e) The conclusion about the null?
Below, identify:
a) The null hypothesis
b) The alternative hypothesis
c) The test statistic
d) The P-value
e) The conclusion about the null hypothesis
f) The final conclusion that addresses the original claim.
1)
In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their
symptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience
relief.
how would I solve this?
2 Answers
- paramvenuLv 76 years agoFavorite Answer
a) Ho: Patients using the allergy drug are NOT experiencing significant relief
Ho: p = 0.5
b) Ha: Patients using the allergy drug are experiencing significant relief
Ha: p > 0.5 (right tailed test)
c) Test statistic = z
Sample proportion = p^ = x/n = 108/202 = 0.5347
Standard error of p = SEp = sqrt [ p*(1-p)/n]
= sqrt [0.5*0.5/202]
= 0.5/sqrt 202
z = [p^ - p] / SEp
z = [0.5347 - 0.5] / [0.5/sqrt 202] = + 0.99
d) p-value = P(z > 0.99)
= 1 - P(z < 0.99)
= 1 - 0.8389
= 0.1611
e) Since p-value (0.1611) > the alpha value (0.01), it can be said that there is NO evidence
to REJECT the Ho
f) Therefore, the test failed to support the claim. It can be inferred that the patients using the allergic drug are NOT experiencing significant relief
