Question

For a test of , the sample proportion is 0.41 based on a sample size of 100. Calculate the P-value, rounded to 3 decimal places.

According to an exit poll for an election, 53.8% of the sample size of 835 reported voting for a specific candidate. We want to test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50. Calculate the P-value for this hypothesis test, rounding 3 decimal places.

Answer 1

Part 1.

Assuming, the hypothesized value, P = 0.5

Ho: P=0.5

Ha: P is not equal to 0.5

n = 100

So Z value is given by

p-value for z = -1.8, taking from standard normal table is 0.0719

Part 2

Given that     

Hypothesis statements are

Ho: P=0.5

Ha: P is not equal to 0.5

n = 835

So Z value is given by

the p-value for z = 2.1961, for a two-tailed test, taking from the standard normal table is  0.028085