show all working 2. Imagine that you are commissioned by a school district to in
ID: 3048700 • Letter: S
Question
show all working
2. Imagine that you are commissioned by a school district to investigate whether the parent-teacher association (PTA) board (which has 30 members) is representative of the parent population of the school district (the PTA has been accused of not being representative). You are provided with access to the district database, and from this you figure out that the entire income. Then you gather the corresponding data about the PTA board members' SES. Do a 1-group chi-square test to determine whether the PTA board is know about the entire parent population i.e., what we got from the database). State your conclusion using your obtained chi-square statistic compared with the chi-square critical value and remember to denote the degrees of freedom properly. Show all work and use 2 decimals places for rounding. parent population is 37% low income, 40% moderate income, and 23% high represe ntative of what we would expect of the district, given what we PTA PTA PTA Mid SES Low SES High SES Members PTA Total Fobserved 10 30 FexpectedExplanation / Answer
Expected frequencies are calculated by multiplying the probability and sample size
for low income Fe = 0.37*30 = 11.1
similarly for others it is calculated as follows
chi-square = 25.26 and df = 2
Critical value for the chi-square = 5.99
We reject the null hypothesis as calculated value is greater than the critical value.
Hence there are significant evidence that there is differnce in the expected and observed frequencies.
Oi Ei (Oi - Ei)^2/Ei 2 11.1 7.4604 10 12 0.3333 18 6.9 17.8565 25.6502Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.