Question

Population Proportion: popular car color for past 2 years is white (0.26). Out of 57 cars in the lot, 14 were white. Test at .05 SL. Solve for proportion

Answer 1

Solution :

Given that ,

n = 57

x = 14

The null and alternative hypothesis is

H0 : p = 0.26

Ha : p 0.26

This is the two tailed test .

= x / n = 14 / 57 = 0.2456

P0 = 0.26

1 - P0 = 1 - 0.26 = 0.74

Test statistic = z

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

= 0.2456 - 0.26 / [0.26 ( 1 - 0.26 ) / 57 ]

= -0.248

The test statistic = -0.248

P-value = 0.8044

= 0.05  

0.8044 > 0.05  

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to the test claim .