Question

The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division.
Eastern Western
9 9
3 8
4 7
3 6
4 5
4 3
Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level.
A) The null and alternative hypothesis would be:
1. H0: PE = Pw
H1: PE > PW
2. H0: PE - Pw
H1: PE Pw
3. H0: Ps Pw
H1: PE Pw
4. H0: ME MW
H1: MMW
5. H0: HEW
H1: TME > HW
6.H0: ME Hw
H1: EMW
B) Determine the test statistic.

Answer 1

Answer:

A)

2. H0: Pe = Pw

H1: Pe $\neq$ Pw

B) Test statistics 1.96

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. In the given scenario the test is to identify whether there is any difference in annual goals between western division and eastern division. The  null hypothesis will be the Goals of western are equal to eastern division and alternative hypothesis will be Goals of western are not equal to eastern division.