Inc Technology Reported the Results of Consumer Survey in Which

question 42

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. As part of that analysis, a 90% confidence interval for the multinomial probability associated with the "Disagree Somewhat" response was desired. Which of the following confidence intervals should be used?

• A) (0.206, 0.327)
• B) (0.216, 0.317)
• C) (0.225, 0.309)
• D) (0.201, 0.332)

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Definitions:

Sleep

A naturally recurring state of mind and body characterized by altered consciousness, reduced sensory activity, and inhibited voluntary muscle activity.

Death

The cessation of all biological functions that sustain a living organism, marking the end of life.

Days

Units of time equivalent to 24 hours, representing the approximate period it takes for the Earth to complete one rotation on its axis.

Sleep

A naturally occurring condition of the mind and body where consciousness is altered, sensory activities are largely reduced, and almost all voluntary muscles are inhibited.