In: Statistics and Probability
A study in Sweden looked at former elite soccer players and people of the same age who did not play soccer. The table below shows the number of individuals in each group who had arthritis of the hip or knee by their mid-50’s. At α = .05, is the occurrence of arthritis related to playing soccer? Use the p-value method.
Elite | Non-elite | Did Not Play | Totals | |
Arthritis | 10 | 9 | 24 | 43 |
No Arthritis | 61 | 206 | 548 | 815 |
Totals | 71 | 215 | 572 |
a) What are the null and alternative hypotheses?
H0:
H1:
b) Compute expected counts
Elite | Non-Elite | Did Not Play | |
Arthritis | |||
No Arthritis |
c) What are the required counts for the Chi-square test? Are those counts satisfied?
d) Compute the test statistic, degrees of freedom, and P-value.
Χ2 =
d. f. =
P-value =
e) Make a conclusion.