Using the P-ValueSection 10.3

P-Value (Observed Significance Level)

It’s the measure of the inconsistency between the hypothesized value for a population parameter and the observed sample statistic.

How likely is this sample if the Ho is really true?

Using the P-Value Reject if

Fail to Reject if

p value

p value oH

oH

One tailed test (use the test statistic Z)

P-value

If the Ho is really true, this is the probability of getting this z-score for the given data

Two-Tailed Test P-Value: Sum of both tails

( 1.0607) ( , 1,0607) 0.1444P z ncdf

We have to double this to get both tails!

Let’s try one!

: 0.5

: 0.5o

A

H p

H p

1.75z

0.05

Let’s try one!

: 0.5

: 0.5o

A

H p

H p

2.02z

0.01

For which of the following P-Values would the null hypothesis be rejected if we’re using a 0.05 significance level?

0.003

0.045

0.084

0.128

3.12 x 10-5

State whether the observed p-value leads to rejection of the null at the given significance level.

0.079

0.10

p Value

0.056

0.05

p Value

0.028

0.01

p Value

0.21

0.10

p Value

Find the p-Value associated with each of the given test statistics (z-scores)

: .6

: .6o

A

H p

H p

0.86z 2.31z

Find the p-Value associated with each of the given test statistics (z-scores)

: .6

: .6o

A

H p

H p

2.21z 0.97z

Homework Page 546 (2-10) even (11-17, 20, 22, 31)