Question

18) 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	54	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.

Your Answer:

Answer 1

The statistical software output for this problem is :

The contribution of the marching band students playing brass instruments to

the observed test statistic

= (54 - 56.38)² / 56.38

= 0.1005