Question

8 a) ttest hwage 30 One-sample t test Variable l Obs Mean Std. Err. Std. Dev. [95% Conf. Interval]

Answer 1

a) H0 = 30

Ha != 30

significance level = 5%

n = 174

P value = 0.0434

since the p value < significance level

I.e .0434 < 0.05

we reject the null hypotheses that mean wage = 30

b )

H0 = 30

Ha != 30

tabulated t value from table = 2.0345

t value at 5% significance level with n-1= 174 -1 = 173 degrees pf freedom from the table = 1.96

since the calculated t value > t value from table

we reject the null hypotheses that mean wage = 30

c)

H0 = 30

Ha != 30

t = calculated mean - populated mean / standard error

33.52778 - 30/ 1.73398

= 2.0345(rounded off)

t value at 5% significance level with n-1= 174 -1 = 173 degrees pf freedom from the table = 1.96

since the calculated t value > t value from table

we reject the null hypotheses that mean wage = 30