Question

# Data: A simple random sample of school children was categorized based on the level of school...

Data:

A simple random sample of school children was categorized based on the level of school and the children’s preference for a mother working outside the home.

```               Elementary    Middle      High
Working          School      School     School
Mothers         Children    Children   Children
Prefer             37          48         89
No Preference      63          52         11```

Use the p-value method and a 0.5% significance level to test the claim that the populations of elementary school children, middle school children, and high school children exhibit homogeneous preferences for working mothers.

1) What population parameter is being tested?

A) Standard Deviation or Variance

B) Proportion

C) Mean

D) Goodness-of-Fit or Independence or Homogeneity

E) Linear Correlation Coefficient

2)How many populations are being tested?

A) Two

B) One

C) More than two

3) Calculate the expected frequency for middle school children with no preference.

4) What is the claim? (At this point, you should have already selected the formula that will be used to calculate the test statistic and written it in the test statistic box.

A) The populations are homogeneous.

B) The populations are heterogeneous.

C) Row and column variables are independent.

D) Row and column variables are dependent.

E) Frequency counts agree with claimed distribution.

F) Frequency counts do not agree with claimed distribution.

5) The claim is the _________ hypothesis.

A) alternative

B) null

6) What is the test statistic (rounded to the nearest ten-thousandth)?

7)What is the smallest upper bound of the p-value from the table (rounded to the nearest thousandth) or the value of the p-value found using technology (rounded to the nearest thousandth?) 