A Random Sample of 100 Members Is Selected from the Population

question 30

Multiple Choice

A random sample of 100 members is selected from the population of UTU union members.A second sample, this one of size 200, is selected from the population of AFB union members.A third sample, also of size 200, is selected from the population of CCO union members.The table below shows the number of members in each sample who are satisfied with the representation that their union provides. You use a chi-square test to test the null hypothesis that the three union populations represented here contain the same proportion of satisfied members.In a table of "expected frequencies if the null hypothesis is true," what is the expected frequency that should be entered in the "UTU, Satisfied" cell?

• A)53
• B)94
• C)47
• D)106

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Definitions:

Capital Gains Yield

The change in price of a security over time, expressed as a percentage.

Geometric Average

A method of calculating the average rate of return that considers the compounding effect of returns over time.

Risk-Free Security

An investment that is assumed to be free from any risk of financial loss, typically represented by government bonds.