Question

A sample​ mean, sample​ size, and population standard deviation are provided below. Use the​ one-mean z-test to perform the required hypothesis test at the 55​% significance level.

x=35, n=34, o=7, H0: u=37, Ha: u<37

Answer 1

Solution :

= 37

=35

=7

n = 34

This is the left tailed test .

The null and alternative hypothesis is

H₀ :   = 0.38

H_a : <   0.38

Test statistic = z = ( - ) / / n

= (35- 37) /7 / 34

= -1.666

P (Z <-1.666 ) =0.0479*2 = 0.0958

P-value = 0.0958

= 0.55  

0.0958 < 0.55

Reject the null hypothesis .

There is sufficient evidence to suggest that