Question

In a test of H_0: mu = 100 against H_a: mu < 100, the sample data yielded the test statistic z=-2.17. Find the p-value for the test. 

• 0.03 

• 0.485 

• 0.015

Answer 1

Hypothesis:

H₀ :µ =100 Vs H₁ : µ < 100

Z = -2.17

Type of hypothesis test

As,   H₁ : µ < 100 , this is left tail test.

P-Value = P ( Z < -2.17)

Using standard normal table for left area

P-Value = 0.015

3^rd option is correct answer.

You can also find using excel function “=NORMSDIST(-2.17)”

Answer 2

Answer: In a test of H_0: mu - 100 against H_a: mu < > 100, the sample data yielded the test statistic z--2.17. Find the p- value for the test.

Solution:

The hypothesis test:

Ho: μ = 100

Ha: μ ≠ 100

P-value from z score:

Test statistic z = -2.17

P-value = 0.03

The third option is correct answer.