A statistics student employed a computer program to test the null hypothesis H?0: p = 0.5 against the one-tailed alternative, H?a: p > 0.5. A sample of 500 observations are input into SPSS, which returns the following results: z = 0.44, two-tailed p-value = 0.33.
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, H?a: p ? 0.5? Interpret this p-value.
Please help me answer this question and if possible show how the answer is found, so I can learn it. I am stuck and do not know where to begin.