Which of these statements are True and which are False a If

Which of these statements are True and which are False?

a. If the P-value is small, then the null hypothesis does not provide a plausible explanation of the data.

b. If the P-value is small, then the sample statistic is a poor estimate of the population parameter.

c. A P-value of 0.999 says that the null hypothesis is a reasonable explanation of the data.

d. When the P-value is 0.5, there is a 50-50 chance that the alternative hypothesis is true.

e. A test statistic is used to measure the difference between the data and what is expected under the null hypothesis.

Solution

a) If the P-value is small, then the null hypothesis does not provide a plausible explanation of the data.

-- True

b) If the P-value is small, then the sample statistic is a poor estimate of the population parameter.

-- True

c) A P-value of 0.999 says that the null hypothesis is a reasonable explanation of the data.

--True

d) When the P-value is 0.5, there is a 50-50 chance that the alternative hypothesis is true

-- False

When p value >alpha we accept null hypothesis. Need not be 0.5

e. A test statistic is used to measure the difference between the data and what is expected under the null hypothesis.

-- True