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: �0:��=���1:��>�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��≠�� �0:��=���1:��<�� �0:��=���1:��≠�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. There is not 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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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:

  • �0:��=��
    �1:��>��
  • �0:��=��
    �1:��>��
  • �0:��=��
    �1:��<��
  • �0:��=��
    �1:��≠��
  • �0:��=��
    �1:��<��
  • �0:��=��
    �1:��≠��



b) Determine the test statistic. Round to two decimals.

�=

c) Find the p-value and round to 4 decimals.

p = 

d) Make a decision.

  • Fail to reject the null hypothesis
  • Reject the null hypothesis



e) Write the conclusion.

  • There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions.
  • There is not 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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