1. What are the conditions for conducting a chi-squared test of independence?

2. On the Titanic, people have theorized that the wealthy passengers were saved while the poorer passengers perished. Here is the data with the passengers categorized by their socioeconomic status (highest, middle, or lowest) and whether they survived.

Socioeconomic Status Died Survived Totals

Highest 117 187

Middle 163 112

Lowest 526 186

Totals

a. Fill in the totals in the table above.

b. Fill in the table below with the expected counts. Let your calculator figure out the expected counts (decimals are okay).

Socioeconomic Status Died Survived Totals

Highest

Middle

Lowest

Totals

c. Run a complete test to determine if the variables of survival and socioeconomic status are independent or not. Be sure to provide a clear conclusion.

3. Which of the following assumptions are necessary to conduct a chi-squared goodness of fit test?

I. No expected counts <1.

II. Sample size >30.

III. No more than 20% of the counts are <5.

I only

II only

III only

I and III only

II and III only

4. The alternate hypothesis of a chi-squared test of independence is:

Observed = Expected

Observed < Expected

Observed > Expected

ObservedExpected

Dependent upon the data