In: Statistics and Probability
For the following questions, state whether you would reject or fail to reject the null hypothesis:
Test value: -2.87
Test value: 1.85
Test value: -2.87
Test value: 1.85
Test value: 8.56
(A) CRITICAL VALUE:
The given critical value is .
DECISION RULE:
TEST VALUE:
The test value is .
INFERENCE:
Since the test statistic value (-2.87) is less than z critical value (-1.96), we reject the null hypothesis.
(B) CRITICAL VALUE:
The given critical value is .
DECISION RULE:
TEST VALUE:
The test value is .
INFERENCE:
Since the test statistic value (1.85) is less than z critical value (2.33), we fail to reject the null hypothesis.
(C) CRITICAL VALUE:
The given critical value is .
DECISION RULE:
TEST VALUE:
The test value is .
INFERENCE:
Since the test statistic value (-2.87) is less than z critical value (2.33), we fail to reject the null hypothesis.
(D) TWO TAILED Z TEST WITH AN :
CRITICAL VALUE:
The z critical value with is .
DECISION RULE:
TEST VALUE:
The test value is .
INFERENCE:
Since the test statistic value (1.85) is less than z critical value (1.96), we fail to reject the null hypothesis.
(E) ONE TAILED Z TEST IN POSITIVE DIRECTION WITH AN :
CRITICAL VALUE:
The z critical value with is .
DECISION RULE:
.
TEST VALUE:
The test value is .
INFERENCE:
Since the test statistic value (8.56) is greater than the z critical value (2.33), we reject the null hypothesis.