Inc Technology Reported the Results of Consumer Survey in Which

question 7

Multiple Choice

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: "The government needs to be able to scan Internet messages and user communications to prevent fraud and other crimes." The possible responses were "agree strongly", "agree somewhat", "disagree somewhat", and "disagree strongly". 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 probabilities for the four response outcomes remain the same from one internet user to the next.
• C) The expected cell counts all must be 30 or more.

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Definitions:

Null Hypothesis

A hypothesis that states there is no statistical significance between the two variables being studied, essentially stating that any observed effect is due to chance.

Independent Variable

The variable in an experimental setting that is manipulated to observe its effect on a dependent variable.

Random Error

Variability in data that arises from unpredictable fluctuations in the measurement process.

Null Hypothesis

A statement in statistics that proposes there is no significant effect or difference between specified populations, any observed difference being due to sampling or experimental error.