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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. 6. 3 8 4 3 6. 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: O Ho: PE Pw H1:PE < Pw O Ho: PE = Pw H1:PE # Pw O Ho:PE = Pw H1:PE Pw O Ho: HE = µw Mit > Irt:'H O Ho:HE = Lw H1:HE # µw O Ho: HE = LW H1:µE > w b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. 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.

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. 6. 3 8 4 3 6. 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: O Ho: PE Pw H1:PE < Pw O Ho: PE = Pw H1:PE # Pw O Ho:PE = Pw H1:PE Pw O Ho: HE = µw Mit > Irt:'H O Ho:HE = Lw H1:HE # µw O Ho: HE = LW H1:µE > w b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. 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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 6. 8 7. 3 4 3 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: O Ho:PE = Ppw H1: PE < Pw O Ho: PE = pw H1:PE Pw O Ho: PE = Pw H1:PE > Pw O Ho: HE = µw Mit > Int:'H O Ho: HE = µw O Ho:HE = Lw H1:µE > µw b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. 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.
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 Western 9 6. 8 7. 3 4 3 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: O Ho:PE = Ppw H1: PE < Pw O Ho: PE = pw H1:PE Pw O Ho: PE = Pw H1:PE > Pw O Ho: HE = µw Mit > Int:'H O Ho: HE = µw O Ho:HE = Lw H1:µE > µw b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and round to 4 decimals. d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that there is a difference in the annual goals for the eastern and western divisions. 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.
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