For the following questions, s
For the following questions, statewhether you would reject or fail to reject the null hypothesis:
- Critical value z > 1.96 or z < -1.96
Test value: -2.87
- Critical value z > 2.33
Test value: 1.85
- Critical value z > 2.33
Test value: -2.87
- Two tailed z test with an α=0.05
Test value: 1.85
- One tailed z test in the positive direction with an α=0.01
Test value: 8.56
Answer:
(A) CRITICALVALUE:
The given critical value is
.
DECISIONRULE:
TESTVALUE:
The test value is 
.
INFERENCE:
Since the test statistic value(-2.87) is less than z critical value (-1.96), we reject the nullhypothesis.
(B) CRITICALVALUE:
The given critical value is
.
DECISIONRULE:
TESTVALUE:
The test value is 
.
INFERENCE:
Since the test statistic value(1.85) is less than z critical value (2.33), we fail to reject thenull hypothesis.
(C) CRITICALVALUE:
The given critical value is.
DECISIONRULE:
TESTVALUE:
The test value is .
INFERENCE:
Since the test statistic value(-2.87) is less than z critical value (2.33), we fail to reject thenull hypothesis.
(D) TWO TAILED Z TEST WITH AN
:
CRITICALVALUE:
The z critical value with is.
DECISIONRULE:
TESTVALUE:
The test value is .
INFERENCE:
Since the test statistic value(1.85) is less than z critical value (1.96), we fail to reject thenull hypothesis.
(E) ONE TAILED Z TEST IN POSITIVEDIRECTION WITH AN 
:
CRITICALVALUE:
The z critical value with is.
DECISIONRULE:
.
TESTVALUE:
The test value is 
.
INFERENCE:
Since the test statistic value(8.56) is greater than the z critical value (2.33), we reject thenull hypothesis.
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