Question

10.7 Test the claim that average game attendance for home baseball games of the St. Louis Cardinals is 43,853. A sample of 50 home games produced a mean of 44,102. The population standard deviation is 625. Use α = .05.

Answer 1

Solution :

= 43853

=44102

=625

n = 50

This is the two tailed test .

The null and alternative hypothesis is

H0 :   =43853

Ha : 43853

Test statistic = z

= ( - ) / / n

= (44102 -43853) /625 / 50

= 2.817

p(Z >2.817 ) = 1-P (Z < 2.817) = 0.0048

P-value = 0.0048

= 0.05  

0.0048< 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that