Question

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 47%. With Ha : p > 47% you obtain a test statistic of z = 1.997. Find the p-value accurate to 4 decimal places.

Answer 1

The p-value is 0.0229

Explanation:

With
`H_(a): p > 0.47` we have an upper-tail alternative. Because the p-value is defined as the probability of getting a value at least as extreme as the value observed. The observed value is given by the test statistic z = 1.997 which comes from a standard normal distribution. Therefore, we compute the p-value in the following way P(Z > 1.997) = 0.0229, i.e., the p-value is 0.0229