A statistic student used a computer program to test the null hypothesis Ho:p=.5 against the one-tailed alternative, Ha:p>>5. A sample of 500 observations is input into SPSS, which returns the following results: z=.44, two tailed p-value=.33.

a. The student concludes based on the p-value, that there is a 33% chance that the alternative hypothesis is true. Do you agree? if not, correct the interpretation.

b. How would the p-value change if the alternative hypothesis was two-tailed, Ha:p ?.5? Interpret this p-value.