In studying the occurrence of genetic characteristics, the following sample data were obtained. You would like to test the claim that the characteristics occur with the same frequency at the 0.05 significance level. What is
Value of the test statistic? $\begin{array}{l|cccccc}
\text { Characteristic } & \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} & \mathrm{F} \
\hline \text { Frequency } & 28 & 30 & 45 & 48 & 39 & 39
\end{array}$

A) $t = 8.263$
B) $\chi ^ { 2 } = 5.821$
C) $x ^ { 2 } = 5.991$
D) $\chi ^ { 2 } = 8.263$

Question

In studying the occurrence of genetic characteristics, the following sample data were obtained. You would like to test the claim that the characteristics occur with the same frequency at the 0.05 significance level. What is
Value of the test statistic? $\begin{array}{l|cccccc}
\text { Characteristic } & \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} & \mathrm{F} \
\hline \text { Frequency } & 28 & 30 & 45 & 48 & 39 & 39
\end{array}$

A) $t = 8.263$
B) $\chi ^ { 2 } = 5.821$
C) $x ^ { 2 } = 5.991$
D) $\chi ^ { 2 } = 8.263$

Quizplus · Accepted Answer

The test statistic for testing equal frequencies is the chi-square statistic. The calculated chi-square value is 8.263.

In Studying the Occurrence of Genetic Characteristics, the Following Sample