Inc Technology Reported the Results of Consumer Survey in Which

question 25

Short Answer

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. When calculating the test statistic, what values for the expected counts should be used in the calculation?
A) $\mathrm { E } _ { 1 } = 60 , \mathrm { E } _ { 2 } = 110 , \mathrm { E } _ { 3 } = 80 , \mathrm { E } _ { 4 } = 50$
B) $\mathrm { E } _ { 1 } = 75 , \mathrm { E } _ { 2 } = 75 , \mathrm { E } _ { 3 } = 75 , \mathrm { E } _ { 4 } = 75$
C) $\mathrm { E } _ { 1 } = 300 , \mathrm { E } _ { 2 } = 300 , \mathrm { E } _ { 3 } = 300 , \mathrm { E } _ { 4 } = 300$
D) $\mathrm { E } _ { 1 } = 0.25 , \mathrm { E } _ { 2 } = 0.25 , \mathrm { E } _ { 3 } = 0.25 , \mathrm { E } _ { 4 } = 0.25$

• A) \(\mathrm { E } _ { 1 } = 60 , \mathrm { E } _ { 2 } = 110 , \mathrm { E } _ { 3 } = 80 , \mathrm { E } _ { 4 } = 50\)
• B) \(\mathrm { E } _ { 1 } = 75 , \mathrm { E } _ { 2 } = 75 , \mathrm { E } _ { 3 } = 75 , \mathrm { E } _ { 4 } = 75\)
• C) \(\mathrm { E } _ { 1 } = 300 , \mathrm { E } _ { 2 } = 300 , \mathrm { E } _ { 3 } = 300 , \mathrm { E } _ { 4 } = 300\)
• D) \(\mathrm { E } _ { 1 } = 0.25 , \mathrm { E } _ { 2 } = 0.25 , \mathrm { E } _ { 3 } = 0.25 , \mathrm { E } _ { 4 } = 0.25\)

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Definitions:

Face-To-Face Interviews

A method of data collection where the interviewer and respondent are in direct contact, allowing for immediate feedback and clarification.

Good Judge Of Personality

A term describing individuals who have the ability to accurately understand and assess others' personalities, emotions, and motivations.

Extraversion

A personality trait described by the tendency to be sociable, outgoing, and energized by interactions with others.

Openness

One of the five major dimensions of personality in the Big Five personality traits, characterized by imagination, curiosity, and a broad range of interests.