Question

19. Which design is NOT appropriate for the one-sample t test?

a. Matched pairs

b. A design with one group

c. A design with two groups, each with different subjects

d. A design with two groups, each with the same subjects

20. What does a p-value tell you, in a test with H_a : μ > 0?

a. The probability of observing a score less than the observed score

b. The probability of observing a score equal to the observed score

c. The probability of observing a score greater than the observed score, assuming the null hypothesis is true

d. The probability of observing a score greater than the observed score, assuming the null hypothesis is false

Answer 1

a)

Answer:- a) Matched pairs is not appropriate for the one sample- ttest

Explanation :-

There are three main types of t-test

• An independent samples t-test compares the means of two groups
• A paired sample t-test compares means from the same group at different times .
• A one sample t-tests the mean of a single group against a known mean

b)

Answer : a) The probability of observing a score less than the observed score.

Explanation:-

A test is statistically significant if the test rejects H0 at the chosen alpha level

Given data Ha : μ > 0

Null hypothesis (H0)	μ < 0	μ >0
Alternative hypothesis (Ha)	μ > 0	μ < 0
Reject (H0) if	P value < observed score	P value < observed score

we can obseve that above table The alternative hypothesis  μ > 0 in a test the probability of observing a score less than the observed score.

Now we will use t- distribution

degrees of freedom = n-1