Question

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: p equals 0.6 versus Upper H 1​: p greater than 0.6 ; n equals 100​; x equals 650, alpha equals 0.1

Answer 1

Solution :

The null and alternative hypothesis is

H0 : p = 0.6

Ha : p > 0.6

= x / n = 65 / 100 = 0.65

P0 = 0.6

1 - P0 = 1 - 0.6 = 0.4

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.65 - 0.6/ [(0.6 * 0.4) / 100]

Test statistic = z = 1.02

This is the right tailed test .

P(z > 1.02) = 1 - P(z < 1.02) = 1 - 0.8461

P-value = 0.1539

= 0.1

P-value >

Fail to reject the null hypothesis