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:

Population Mean

The average of all the values in a population, representing the central tendency of the population.

Alpha Level

The threshold of significance in hypothesis testing, below which the null hypothesis is rejected, commonly set at 0.05.

Null Hypothesis

A hypothesis that suggests there is no significant difference or effect, used as a starting point in hypothesis testing.

P-value

The probability of obtaining test results at least as extreme as the ones observed during the test, assuming that the null hypothesis is true.