A researcher performed a study to determine whether an association exists between sex and blood type.He obtained the following sample data. $\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Blood Type }$
$3002707535680\begin{array}{c}Sex&\begin{array}{|l|c|c|c|c|c|}\hline& \mathrm{O} & \mathrm{A} & \mathrm{B} & \mathrm{AB} & \text { Total } \\\hline \text { Female } & 162 & 138 & 40 & 20 & 360 \\\hline \text { Male } & 138 & 132 & 35 & 15 & 320 \\\hline \text { Total } & 300 & 270 & 75 & 35 & 680 \\\hline\end{array}\end{array}$

A) H0: Gender and blood type are dependent. HA: Gender and blood type are independent.
B) H0: Blood types are not uniformly distributed over the genders. HA: Blood types are uniformly distributed over the genders.
C) H0: Gender and blood type are independent. HA: Gender and blood type are not independent.
D) H0: There is a relationship between gender and blood type. HA: There is no relationship between gender and blood type.
E) H0: Gender and blood type are dependent. HA: Gender and blood type are not dependent.

Question

A researcher performed a study to determine whether an association exists between sex and blood type.He obtained the following sample data.

\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Blood Type }

3002707535680\begin{array}{c}Sex&\begin{array}{|l|c|c|c|c|c|}\hline& \mathrm{O} & \mathrm{A} & \mathrm{B} & \mathrm{AB} & \text { Total } \\\hline \text { Female } & 162 & 138 & 40 & 20 & 360 \\\hline \text { Male } & 138 & 132 & 35 & 15 & 320 \\\hline \text { Total } & 300 & 270 & 75 & 35 & 680 \\\hline\end{array}\end{array}

A) H0: Gender and blood type are dependent. HA: Gender and blood type are independent.
B) H0: Blood types are not uniformly distributed over the genders. HA: Blood types are uniformly distributed over the genders.
C) H0: Gender and blood type are independent. HA: Gender and blood type are not independent.
D) H0: There is a relationship between gender and blood type. HA: There is no relationship between gender and blood type.
E) H0: Gender and blood type are dependent. HA: Gender and blood type are not dependent.

Daniel Salas Reyes · Accepted Answer

Final Answer : C, Explanation :  The null hypothesis (H0) states that gender and blood type are independent, while the alternative hypothesis (HA) states that they are not independent. Therefore, the correct choice is C.

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