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Words 272

Pages 2

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 students.

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