A Publishing Company Performs Sample Surveys to Obtain Information on Characteristics

question 1

Multiple Choice

A publishing company performs sample surveys to obtain information on characteristics of book readers.A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book,newspaper,or magazine in the six months prior to the survey.The following data were obtained in a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers,non-book readers,and non-readers are the same for each income bracket.Use a 1% level of significance. $\begin{array}{|l|c|c|c|c|}&&\text { Classification }\\\hline&\text { Book } &\text { Non-book }&\text { Non- }& \text { Total } \\\text {household income}&\text { reader }&\text { reader }&\text { reader }\\\hline \begin{array}{l}\hline\text { Less than } \\\$ 15,000\end{array} & 173 & 267 & 55 & 495 \\\hline \begin{array}{l}\$ 15,000 \text { to } \\\$ 24,999\end{array} & 168 & 130 & 19 & 317 \\\hline \begin{array}{l}\$ 25,000 \text { to } \\\$ 39,999\end{array} & 160 & 144 & 9 & 313 \\\hline \begin{array}{l}\$ 40,000 \text { and } \\\text { over }\end{array} & 213 & 88 & 3 & 304 \\\hline \text { Total } & 714 & 629 & 86 & 1429 \\\hline\end{array}$ $x ^ { 2 }$ = 114.534; P-value = 2.287 × $10 ^ { - 22 }$

• A)There is not sufficient evidence to reject the null hypothesis and conclude that the distributions of reader classification and household income are different.
• B)There is sufficient evidence to reject the null hypothesis and conclude that the distributions of reader classification and household income are the same.
• C)There is sufficient evidence to reject the null hypothesis and conclude that the distributions of reader classification and household income are different.
• D)There is sufficient evidence to reject the null hypothesis and conclude that the reader classification is dependent on household income.
• E)There is not sufficient evidence to reject the null hypothesis and conclude that the distributions of reader classification and household income are the same.

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