Question

# Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test....

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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