Question

Given the hypothesis: HA: μ>25. σ=8. A sample size of 38 was used. The test statistic is found to be -0.95. Identify the test-statistic (and write the expression), and determine the p-value

Answer 1

Given hypothesis is

HA: μ > 25

population standard deviaion is : σ = 8.

sample size: n= 38

test statistic = -0.95

Since, population standard deviaion ( σ ) is known and sample size is greater than 30 hence, we are using z test.

test statistic can be expressed as,

Z = -0.95

now find P-Value for right tailed test using normal z table

P-Value = 1 - P( z < -0.95)

using normal z table find P( z < -0.95)

we get

P( z < -0.95) = 0.1711

P-Value = 1 - 0.1711

P-Value = 0.8289

Thus we get P-Value as

P-Value = 0.8289