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

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. Round all answers to 4 decimal points.

Band Type Woodwind Brass Percussion
Concert 31 25 8
Jazz 10 16 10
Marching 65 65 27

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

b. 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?

c. What is the the test statistic for this hypothesis test, if the null hypothesis is true?

d. What is the degrees of freedom for the test statistic if the null hypothesis is true?

e. What is the p-value for this hypothesis test, if the null hypothesis is true?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(a)

Ans: 11.2062

(b)

Ans : 0.0009

(c)

(d)

(e)

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