Question

The student newspaper claims that 54% of students have part-time jobs. You think the percentage is high. Taking a sample of 45 students, you find that 52% of them have part-time jobs. Using a .05 level of significance, is the claim high?

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H0 : p = 0.54

Ha : p >  0.54

= x / n = 0.52

n =45

P0 = 0.54

1 - P0 = 1 -0.46

Test statistic = z

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

= 0.52 -0.54 / [0.54 *(0.46) / 45]

= -0.269

P(z >-0.269 ) = 1 - P(z <-0.269 ) = 0.606

P-value = 0.6060

= 0.05

0.6060 > 0.05

Do not reject the null hypothesis .

There is insufficient evidence to suggest that