**Study Summary:**A study conducted in Sweden compared former elite soccer players with individuals of the same age who played soccer but not at an elite level. Out of 500 former elite soccer players surveyed, 36% had developed arthritis of the hip or knee by their mid-50s. This is in comparison to 34% of the 500 recreational soccer players.**Research Question:**Does the data suggest that elite soccer players are more likely to develop arthritis of the hip or knee than recreational soccer players? Use a significance level of \(\alpha = 0.05\). Round all answers to three decimal places and any interim calculations to four decimal places.**Hypotheses:**- Null Hypothesis (\(H_0\)): \(p_1 = p_2\)- Alternative Hypothesis (\(H_a\)): \(p_1 > p_2\)Where:- \(p_1\) = proportion of elite soccer players who develop arthritis- \(p_2\) = proportion of recreational players who develop arthritisThis test is **right-tailed**.**Prompt:**What is the test statistic?**Hint:**Ensure to use the correct value for the standard error.

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Answered: A study in Sweden compared former elite…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study in Sweden compared former elite soccer players with people of the same age who had played soccer but not at the elite level. Of the 500 former elite soccer players surveyed, 44 % had developed arthritis of the hip or knee by their mid-50s, compared with 42 % of the 500 recreational soccer players. Does it appear that elite soccer players are more likely to develop arthritis of the hip or knee than comparable recreational soccer players? Test at a = 0.10. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below where p₁ denotes the proportion of elite soccer players who develop arthritis of the hip or knee and på denotes the proportion of recreational soccer players who develop arthritis of the hip or knee. Ho: P₁ Ha: P₁ This test is right-tailed. P₂ ✓✓✓✓ P. What is the test statistic? Part 2 of 4

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