Question

Question 10 (1 point) 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. Instrument type Band type Concert Jazz Marching Woodwind 31 10 65 Brass 25 16 53 Percussion 8 10 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

Expected value for marching and brass

= (Row Total * Column Total) / (Grand Total)

= ((65 + 53 + 27) * (25 + 16 + 53)) / (31 + 25 + 8 + 10 + 16 + 10 + 65 + 53 + 27)

= 55.63265

Hence,

Conribution

$= \frac{(53-55.63265)^2}{55.63265}$

= 0.1246