**Title: Comparative Study on Arthritis Development in Elite vs. Recreational Soccer Players****Study Overview:**A study conducted in Sweden compared the incidence of arthritis in former elite soccer players with recreational players of the same age group. The focus was on the development of arthritis in the hip or knee by the mid-50s.- **Elite Soccer Players**: Out of 500 surveyed, 36% developed arthritis.- **Recreational Soccer Players**: Out of 500 surveyed, 34% developed arthritis.**Research Question:**Does being an elite soccer player increase the likelihood of developing arthritis compared to recreational players?**Statistical Analysis:**- **Significance Level (α)**: 0.05- Results and calculations should be rounded to three decimal places, with interim calculations to four decimal places.**Hypotheses:**- **Null Hypothesis (H₀)**: \( p_1 = p_2 \) \( p_1 \): Proportion of elite players with arthritis \( p_2 \): Proportion of recreational players with arthritis- **Alternative Hypothesis (Hₐ)**: \( p_1 > p_2 \)**Test Information:**- **Test Nature**: Right-tailed test**Calculation Task:**- Determine the test statistic- **Hint**: Ensure the correct standard error is used in calculations.This structured approach will allow students to understand hypothesis testing within the context of a real-world scenario.

It is given that we have to test the claim that elite soocer players are more likely to develope…

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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Researchers have postulated that, due to differences in diet, Japanese children have a lower proportion of children with high blood cholesterol levels than U.S. children. Suppose that the proportion of high blood cholesterol level of U.S. children is known to be 0.78. Ho: ??:
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A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. A prior survey of patients had found the mean score for the population of patients to be μ=2.9 After careful review of these data, the hospital nutritionist decided that patients could benefit from nutrition education. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for the 15 patients sampled: x¯=3.5 and s=1.2 We would like to know if the education improved nutrition behavior. We test the hypotheses H0:μ=2.9 versus Ha:μ>2.9. The tt test to be used has the test statistic: Answer:
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What do the results mean? What type of error could you be making and what would that mean? Redo as a one-tail test, expecting a decrease in the number of headaches. Pay attention to what changes and what doesn’t and why.
On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in the table show that the observed frequencies are in agreement with proportion of people in each age group? Test at the 1% level. Renal Failure Frequencies Age group 16-29 30-44 45-59 60-74 75+ Total Observed Frequencies 125 152 134 124 48 583 Expected Proportion 0.23 0.25 0.22 0.21 0.09 State the hypotheses.H0: The observed frequencies in agreement with proportion of people in each age group.Ha: The observed frequencies in agreement with proportion of people in each age group. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to 3 decimal places.χ2 = Calculate the p-value. Round to 3 decimal places.p-value = State your decision.Since p-value α,…
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