# 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.