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

P₀ = 0.6

1 - P₀ = 0.4

n P₀(1 - P₀) = 100 * 0.6 * 0.4 = 24

Yes

Test statistic = z

= - P₀ / [P_{0 *} (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 .