Question

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.

Answer #1

Solution :

This is the right tailed test .

= x / n = 65 / 100 = 0.650

P_{0} = 0.6

1 - P_{0} = 0.4

n P_{0}(1 - P_{0}) = 100 * 0.6 * 0.4 = 24

**Yes**

Test statistic = z

=
- P_{0} / [P_{0
*} (1 - P_{0} ) / 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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