A European football agency reports the following based on a study they did: 90% of soccer players take magnesium in topical form for muscle soreness, 5.5% take magnesium in pill form, and 4.5% take magnesium in powder form. To verify, a researcher randomly selects 794 soccer players and reports the following.
Form of magnesium (Mg) |
Number of soccer players |
Topical |
632 |
Pill |
95 |
Powder |
67 |
To determine if the proportions the European football agency reported are accurate, the researcher will conduct a Chi-square Goodness of Fit test. Complete the table below to calculate the chi-square statistic. Round all values to two decimal places! (Use the correct expected counts from the previous question.)
Form |
Topical |
Pill |
Powder |
Observed Count |
632 |
95 |
67 |
Observed - Expected |
|||
(Observed - Expected)2 |
|||
(Observed - Expected)2/Expected |
X2 - statistic =
The degrees of freedom for the chi-square statistic =
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