Hypothesis

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Submitted By carlajss
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A high school principal wanted to know if the racial makeup of her teachers mirrored that of the student body. The student body broke down into 47% White, 28% Latino, 15% African American, and 10% other. Of the 65 teachers, 42 were White, 4 were Latino, 15 were African American, and 4 were Other. Do these results suggest that the racial makeup of the faculty members is different from that of the students? (Use the .05 significance level.)
Use the five steps of hypothesis testing and explain your findings.

Since the teachers are given in numbers and the students in percentage therefore we will write both in percentage.

| |White |Latino |Af.American |Other |Total |
|% of students |47 |28 |15 |10 |100 |
|% of faculty |64.6 |6.15 |23.1 |6.15 |100 |
|Total |111.6 |34.15 |38.1 |16.15 |200 |

Step1-
H0: The racial makeup of faculty members is independent of that of the students.
H1: The racial makeup of faculty members is same as that of the students.

Step2-
Level of significance as stated in the problem alpha=0.05

Step3-
For this problem we will be using Chi-Square test.

Step4-
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Degrees of freedom=1x2=2
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Step5-
Critical value of Chi square for 2 d.o.f at 5% level of significance is 5.991.
Since the calculated value of chi-square(19.05) is greater than the tabulated value(5.991), it is significant. Hence we reject the H0 and conclude that the racial makeup of the faculty members is same as that of the…...

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