Question: Consider the following hypothesis test. H 0 : 1 2 0 H a : 1 2 > 0 The following results are for two independent
Consider the following hypothesis test.
H0: 1 2 0
Ha: 1 2 > 0
The following results are for two independent samples taken from the two populations.
| Sample 1 | Sample 2 |
|---|---|
n1 = 40 | n2 = 50 |
x1 = 25.9 | x2 = 22.8 |
1 = 5.4 | 2 = 6 |
1. What is the value of the test statistic? (Round your answer to two decimal places.)
2. What is the p-value? (Round your answer to four decimal places.)
3. With
= 0.05,
what is your hypothesis testing conclusion?
Reject H0. There is sufficient evidence to conclude that 1 2 > 0.
Reject H0. There is insufficient evidence to conclude that 1 2 > 0.
Do not Reject H0. There is sufficient evidence to conclude that 1 2 > 0.
Do not reject H0. There is insufficient evidence to conclude that 1 2 > 0.
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