Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table. $$\begin{array} { l | l }
\text { RESPONSE } & \text { NUMBER } \
\hline \text { Agree Strongly } & 60 \
\text { Agree Somewhat } & 110 \
\text { Disagree Somewhat } & 80 \
\text { Disagree Strongly } & 50
\end{array}$$ In order to determine whether the true proportions of Internet users in each response category
Differ, a one-way chi-square analysis should be conducted. Which of the following statements is
Not necessary for the analysis to be valid?
A)The 300 internet users sampled are independent from one another.
B)The expected cell counts all must be 30 or more.
C)The probabilities for the four response outcomes remain the same from one internet user to the next.

Question

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table. $$\begin{array} { l | l } 
\text { RESPONSE } & \text { NUMBER } \
\hline \text { Agree Strongly } & 60 \
\text { Agree Somewhat } & 110 \
\text { Disagree Somewhat } & 80 \
\text { Disagree Strongly } & 50
\end{array}$$ In order to determine whether the true proportions of Internet users in each response category
Differ, a one-way chi-square analysis should be conducted. Which of the following statements is
Not necessary for the analysis to be valid?
A)The 300 internet users sampled are independent from one another.
B)The expected cell counts all must be 30 or more.
C)The probabilities for the four response outcomes remain the same from one internet user to the next.

Quizplus · Accepted Answer

The requirement for a chi-square test of independence is that all expected cell counts must be 5 or more, not 30 or more. This ensures that the chi-square distribution approximates the sampling distribution well enough for the test to be valid.

Inc Technology Reported the Results of Consumer Survey in Which