A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did n

Anish Buchanan 2021-05-01 Answered

A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-fifties: \(\text{Soccer level} \\ \begin{array}{ll|c|c|c} & & \text { Ellte } & \text { Non-elite } & \text { Did not play } \\ \hline \text { Whether person } & \text { Yes } & 10 & 9 & 24 \\ \hline \text { developed arthritis } & \text { No } & 61 & 206 & 548 \end{array}\) Researchers suspected that the more serious soccer players were more likely to develop arthritis later in life. Do the data confirm this suspicion? Calculate appropriate percentages to support your answer.

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Lacey-May Snyder
Answered 2021-05-02 Author has 24129 answers
We note that 10 players were elite players with arthritis and 61 players were elite players with arthritis.
The percent of elite players who have arthritis is then the total number of elite players with arthritis divided by the number of elite players:
Percent of elite players who have arthritis \(\displaystyle=\frac{{10}}{{{10}+{61}}}=\frac{{10}}{{71}}\sim{0.1408}={14.08}\%\)
We note that 9 players were non-elite players with arthritis and 206 players were non-clite players with arthritis.
Percent of elite players who have arthritis =
The percent of non-elite players who have arthritis is then the total number of non-elite players with arthritis divided by the number of non-clite players:
We then note that the percent of elite players who have arthritis (14.08%) is much higher than the percent of non-elite players who have arthritis (4.186%), which confirms the suspicion that the more serious soccer players were more likely to develop arthritis later in life.
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asked 2021-05-02

A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-50s.

\(\begin{array} {lc} & \text{Soccer experience} \\ \text {Arthritis} &\begin{array}{l|c|c|c|c} & & & \text { Did not } & \\ & \text { Elite } & \text { Non-elite } & \text { play } & \text { Total } \\ \hline \text { Yes } & 10 & 9 & 24 & 43 \\ \hline \text { No } & 61 & 206 & 548 & 815 \\ \hline \text { Total } & 71 & 215 & 572 & 858 \end{array} \ \end{array}\)

Suppose we choose one of these players at random. What is the probability that the player has arthritis?

asked 2021-06-30

A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-fifties:

\(\text{Soccer level} \\ \begin{array}{ll|c|c|c} & & \text { Ellte } & \text { Non-elite } & \text { Did not play } \\ \hline \text { Whether person } & \text { Yes } & 10 & 9 & 24 \\ \hline \text { developed arthritis } & \text { No } & 61 & 206 & 548 \end{array}\)

What percent of the elite soccer players developed arthritis? What percent of those who got arthritis were elite soccer players?

asked 2021-03-04

A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-50s.

\(\begin{array} {c|ccc|c} & \text { Elite } & \text { Non-elite } & \text {Did not play } & \text { Total } \\ \hline \text { Yes } & 10 & 9 & 24 & 43 \\ \text { No } & 61 & 206 & 548 & 815 \\ \hline \text { Total } & 71 & 215 & 572 & 858 \end{array}\)
Suppose we choose one of these players at random. What is the probability that the player has arthritis, given that he or she was classified as an elite soccer player?

asked 2021-08-11

A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-fifties:
\( \\ \begin{array}{ll|c|c|c} \text{Soccer level} & \text { Elite } & \text { Non-elite } & \text { Did not play } \\ \hline \text { Whether person } & \text { Yes } & 10 & 9 & 24 \\ \hline \text { developed arthritis } & \text { No } & 61 & 206 & 548 \end{array}\)
Researchers suspected that the more serious soccer players were more likely to develop arthritis later in life. Do the data confirm this suspicion? Calculate appropriate percentages to support your answer.

asked 2021-08-13

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. This two-way table summarizes the survey data.
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Suppose we select one of these students at random. What's the probability that: The student is not a sixth grader and did not rate good grades as important?
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Is there a relationship between Facebook use and age among college students? The following two-way table displays data for the 219 students who responded to the survey.\(\begin{array}{ccc} \ \text{Facebook user?} & {\begin{array}{l|c|c|c} & \begin{array}{c} \text { Younger } \\ (18-22) \end{array} & \begin{array}{c} \text { Age Middle } \ (23-27) \end{array} & \begin{array}{c} \text { Older } \\ (28 \text { and up)} \end{array} \\ \hline \text { Yes } & 78 & 49 & 21 \\ \hline \text { No } & 4 & 21 & 46 \end{array}} \\ \end{array}\) What percent of the students in the sample were aged 28 or older?

asked 2021-07-02

Is there a relationship between Facebook use and age among college students? The following two-way table displays data for the 219 students who responded to the survey. \(\begin{array}{ccc} & \text{Age} \\ \text{Facebook user?} & {\begin{array}{l|c|c|c} & \begin{array}{c} \text { Younger } \\ (18-22) \end{array} & \begin{array}{c} \text { Middle } \\ (23-27) \end{array} & \begin{array}{c} \text { Older } \\ (28 \text { and up)} \end{array} \\ \hline \text { Yes } & 78 & 49 & 21 \\ \hline \text { No } & 4 & 21 & 46 \end{array}} \\ \end{array}\)

What percent of the students who responded were older Facebook users?

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