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High School Band ~ In most US high schools, students can play an instrument in three...

High School Band ~ In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below.

Band

type

Instrument type

Woodwind

Brass

Percussion

Concert

31

25

8

Jazz

10

16

10

Marching

65

64

27

To assess whether there is a relationship between band type and instrument type, we conduct an appropriate hypothesis test.

Note: Observed counts are randomized in each instance of this question. Pay attention to the numbers in this question.

Assuming there is no relationship between band type and instrument type, what is the contribution of the marching band students playing brass instruments to the observed test statistic?

Give your answer to 4 decimal places.

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