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 3 4 3 4 4 t = 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. O Ho: PE PW H₁: PE > PW a) The null and alternative hypothesis would be: Ho: PE = μW PW H₁: PE O Ho: PE PW H₁: PEPW Ho: PE = W Η: με > μω 9 8 Ho: PE = PW H₁: PE PW 7 6 Ho: PE = W H₁:μE < μW 5 3 b) Determine the test statistic. Round to two decimals.

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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
9
3
4
3
4
4
t =
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.
Western
a) The null and alternative hypothesis would be:
Ho: HE= HW
H₁: PE
W
p=
O Ho: PE
Pw
H₁: PE> PW
O Ho:PE=Pw
H₁: PEPW
Ho: μE = μW
Η :με > μω
O Ho: PE Pw
H₁: PE PW
9
8
7
6
5
3
O Ho: PE = Hw
Η :με < μη
b) Determine the test statistic. Round to two decimals.
c) Find the p-value and round to 4 decimals.
d) Make a decision.
O Reject the null hypothesis
O Fail to reject the null hypothesis
e) Write the conclusion.
O There is not sufficient evidence to support the
claim that there is a difference in the annual
goals for the eastern and western divisions.
There is sufficient evidence to support the claim
that there is a difference in the annual goals for
the eastern and western divisions.
Transcribed Image Text: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 9 3 4 3 4 4 t = 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. Western a) The null and alternative hypothesis would be: Ho: HE= HW H₁: PE W p= O Ho: PE Pw H₁: PE> PW O Ho:PE=Pw H₁: PEPW Ho: μE = μW Η :με > μω O Ho: PE Pw H₁: PE PW 9 8 7 6 5 3 O Ho: PE = Hw Η :με < μη b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions.
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