Question

Given a random sample of 500 observations from a population having binomial distribution. Is there a significant evidence to conclude that population mean is greater than 300 if the sample mean is 302. a) Null hypothesis is b) Alternative is c) Test statistic equal to d) Critical Value of the test at a=10% is e) Does it appear at a=10% that population mean is greater than 300 ?

Answer 1

for binomial distribution, population mean mant ; population mean is equal to 300 a) Mill Hypothesis ! Me= 300 or P= 0.60; proportion is equal to 0.60 (n-300-> b=30 Sot V8 b) Alternatie Hypotheses: M>300; bobulation mean greater than 300 p>0.60 (C) Test statistic z= þ-p 302 Soo 300 SOO = PCI-PO 0.60X0.40 סס S = 0.18257 .: Test statistic = 0.1826 at L=10% is (d) critical value 1.282 Zx= (6) since 0.1826 <2&11282); we fail torgect Ho at Leo.10. :: NO 2 at 10%, the population mean is not greater than 300