7.66 A statistics student used a computer program to test the null hypothesis He: p= .5 against the one-tailed alterna- tive, H:p> 5. A sample of 500 observations are input into statistical software, 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 hy- pothesis was two-tailed, H₂:p.5? Interpret this p-value.

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7.66 A statistics student used a computer program to test the
null hypothesis Ho: p=5 against the one-tailed alterna-
tive, H:p> 5. A sample of 500 observations are input
into statistical software, 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 hy-
pothesis was two-tailed, H:p .5? Interpret this
p-value.
Transcribed Image Text:7.66 A statistics student used a computer program to test the null hypothesis Ho: p=5 against the one-tailed alterna- tive, H:p> 5. A sample of 500 observations are input into statistical software, 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 hy- pothesis was two-tailed, H:p .5? Interpret this p-value.
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