Question

1. The government introduced new laws requiring long distance truck drivers to take minimum rest breaks. Prior to introducing the new laws, the true proportion of long distance truck drivers who often felt tired while driving was 70%. A statistics student wanted to test whether the proportion of long distance truck drivers who often feel tired while driving had been reduced (below 70%) 6 months after the introduction the new laws. The student calculated the Z-test statistic based on a sample and found it was -2.25. What is the p-value for this test?

   	a.	0.9878
   	b.	0.0122
   	c.	0.0244
   	d.	0.4989

Answer 1

Solution :

Given that,

This is the left tailed test .

The null and alternative hypothesis is

H₀ : p = 0.70

H_a : p < 0.70

Test statistic = z = - 2.25

= 0.01219

P-value = 0.0122

Option c is correct.