Question

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	19
Jazz	10	16	10
Marching	65	65	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.

1. Assuming there is no relationship between band type and instrument type, what is the expected value for concert band students playing percussion instruments?

Give your answer to 4 decimal places.

2. What is the test statistic if the null hypothesis is true? Give your answer to 4 decimal places.

Answer 1

The statistical software output for this problem is :

1)

the expected value for concert band students playing percussion instruments

= 15.6716

2) Test statistics = 5.0951