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 from 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. $\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Classification }$
$714629861429\begin{array}{|l|c|c|c|c|}\hline&\begin{array}{c}\text { Book } \\\text { reader }\end{array} & \begin{array}{c}\text { Non-book } \\\text { reader }\end{array} & \begin{array}{c}\text { Non- } \\\text { reader }\end{array} & \text { Total }\\\hline\begin{array}{l}\text { Less than } \\\$ 15,000\end{array} & 173 & 267 & 55 & 495 \\\hline\begin{array}{l}\$ 15,000 \text { to } \\\$ 24,999\end{array} & 168 & 130 & 19 & 317 \\\hline\begin{array}{l}\$ 25,000 \text { to } \\\$ 39,999\end{array} & 160 & 144 & 9 & 313 \\\hline \begin{array}{l}\$ 40,000 \text { and } \\\text { over }\end{array} & 213 & 88 & 3 & 304 \\\hline \text { Total } & 714 & 629 & 86 & 1429 \\\hline\end{array}$
Household
Income

A) H0: There is no relationship between household income and book readership. HA: Household income and book readership are not related.
B) H0: The classifications do not have the same distribution for each household income bracket. HA: The classifications have the same distribution for each household income bracket.
C) H0: Household income and book readership are independent. HA: Household income and book readership are not dependent.
D) H0: The classifications have the same distribution for each household income bracket. HA: The classifications do not have the same distribution for each household income bracket.
E) H0: There is a relationship between household income and book readership. HA: Household income and book readership are not related.

Question

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 from 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.

\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Classification }

714629861429\begin{array}{|l|c|c|c|c|}\hline&\begin{array}{c}\text { Book } \\\text { reader }\end{array} & \begin{array}{c}\text { Non-book } \\\text { reader }\end{array} & \begin{array}{c}\text { Non- } \\\text { reader }\end{array} & \text { Total }\\\hline\begin{array}{l}\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}

Household
Income

A) H0: There is no relationship between household income and book readership. HA: Household income and book readership are not related.
B) H0: The classifications do not have the same distribution for each household income bracket. HA: The classifications have the same distribution for each household income bracket.
C) H0: Household income and book readership are independent. HA: Household income and book readership are not dependent.
D) H0: The classifications have the same distribution for each household income bracket. HA: The classifications do not have the same distribution for each household income bracket.
E) H0: There is a relationship between household income and book readership. HA: Household income and book readership are not related.

Katrina Azucena · Accepted Answer

Final Answer : D, Explanation :  The null hypothesis (H0) states that the classifications have the same distribution for each household income bracket. This means that the proportions of book readers, non-book readers, and non-readers are the same across different income brackets. The alternative hypothesis (HA) states that the classifications do not have the same distribution for each household income bracket, which implies that the proportions of book readers, non-book readers, and non-readers vary across different income brackets. This is the appropriate hypothesis test for determining whether or not there is a relationship between household income and book readership. Hence, the correct choice is D.

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