Instructors at a sports club were surveyed about whether they are certified in CPR. The survey results are shown in the two-way frequency table. Does the data show an association between the type of instructor and a certification in CPR?
There is no association. The percent of instructors who are certified in CPR is the same in both categories.
There is an association. More yoga instructors than dance instructors are certified in CPR.
There is an association. Yoga instructors are more likely than dance instructors to be certified in CPR.
It is not possible to determine whether there is an association between the type of instructor and a certification in CPR because the number of instructors surveyed in each category is not the same.
To determine whether there’s an association between the type of instructor and certification in CPR, we need to analyze the data provided in the two-way frequency table.
If the percentages of certified instructors in both categories (yoga and dance) are equal, then there is no association (first option). If yoga instructors have a higher percentage of certified instructors than dance instructors, then there is an association (second or third options, depending on the exact wording).
If the numbers surveyed in each category are significantly different, this can affect the interpretation, but it does not completely prevent us from analyzing the association if percentages are provided.
Based on that reasoning, if either of the second or third options is true (yoga instructors more likely or more certified), we conclude there is an association. The correct answer would depend on the actual data from the survey table.
To summarize, if you observe more certified yoga instructors than dance instructors in the table, then the statement “There is an association. Yoga instructors are more likely than dance instructors to be certified in CPR.” would be correct.
Please refer to the data in your table for the precise answer. For further assistance, feel free to check the extended services page.