Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
H 0: 0.6 versus H 1: p > 0.6
n =100; x= 65, alpha=0.1 Is np 0 (1- p 0) greater than or equals 10? *No OR Yes? *
Use technology to find the P-value. *P-value= ?* (Round to three decimal places as needed.)
*Reject OR Do not* reject the null hypothesis, because the P-value is *greater OR less* than alpha.
Solution :
This is the right tailed test .
= x / n = 65 / 100 = 0.650
P0 = 0.6
1 - P0 = 0.4
n P0(1 - P0) = 100 * 0.6 * 0.4 = 24
Yes
Test statistic = z
=
- P0 / [
P0
* (1 - P0 ) / n]
= 0.65 - 0.6 / [(0.6
* 0.4) / 100]
= 1.02
P(z > 1.02) = 1 - P(z < 1.02) = 0.1539
P-value = 0.1539
= 0.1
P-value >
Fail to reject the null hypothesis .
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