Question

The Office of Institutional Research at UP would like to examine the age distribution of the student population. The office would like to determine whether the distribution of ages for a sample is different from the distribution of ages for the student population. A sample of students is selected and the relative frequencies for the age categories are as follows for the sample and the population: Age group: 18-20 Sample: Population: 27 a) State the null and alternative hypotheses in symbolic and text forms b) Compute the Chi-square. c) Draw conclusions at the 0.05 level of significance. 10· Over 30 21-24 42 30 29 18 26

Answer 1

I have used Minitab software

Steps

1. Enter the data   
2. Stat-table-Chi square test for association
3.   
4. ok

output

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a)

The null hypothesis H₀:Age distribution is same

The alternative hypothesis:H₁:The age distribution is different

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b)Chi square=8.2

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c) As p-value is less than 0.05 we reject the null hypothesis and conclude that the age distribution of sample is different from age distribution of popuplation.

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