Question

According to an exit poll for an​ election, 53.8​% of the sample size of 845 reported voting for a specific candidate. Is this enough evidence to predict who​ won? Test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50. Complete parts a through d below. Report the test statistic and​ P-value and interpret the latter

Answer 1

As we are testing here whether the proportion who voted for this candidate is differed from 0.50, therefore the null and the alternate hypothesis here are given as:

The sample proportion here is given to be p = 0.538

Therefore the test statistic here is computed as:

As this is a two tailed test, the p-value here is computed from the standard normal tables as:

p = 2P(Z > 2.2092) = 2*0.0136 = 0.0272

Therefore 2.2092 is the required test statistic value while 0.0272 is the required p-value here.