A statistics student used a computer program to test the null hypothesis H0: p = .5 against the one-tailed alternative, Ha: p > .5. A sample of 500 observations are 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.