A biology professor claims that, on the average, $15 \%$ of her students get a grade of $\mathrm { A }$, $30 \%$ get a $\mathrm { B } , 30 \%$ get a $\mathrm { C } , 10 \%$ get a D, and $15 \%$ get an $\mathrm { F }$. The grades of a random sample of 105 students were recorded. The following table presents the results.
$\begin{array}{c|lllll}
\text { Grade } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Observed } & 17 & 39 & 26 & 5 & 18
\end{array}$

Test the hypothesis that the grades follow the distribution claimed by the professor. Use tl $\alpha = 0.01$ level of significance.
A) Do not reject $H _ { 0 }$.
B) Reject $H _ { 0 }$.

Question

A biology professor claims that, on the average, $15 \%$ of her students get a grade of $\mathrm { A }$, $30 \%$ get a $\mathrm { B } , 30 \%$ get a $\mathrm { C } , 10 \%$ get a D, and $15 \%$ get an $\mathrm { F }$. The grades of a random sample of 105 students were recorded. The following table presents the results.
$\begin{array}{c|lllll}
\text { Grade } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Observed } & 17 & 39 & 26 & 5 & 18
\end{array}$

Test the hypothesis that the grades follow the distribution claimed by the professor. Use tl $\alpha = 0.01$ level of significance.
A) Do not reject $H _ { 0 }$.
B) Reject $H _ { 0 }$.

Quizplus · Accepted Answer

The chi-square test statistic is 1.67, which is less than the critical value of 16.92. Therefore, we do not reject the null hypothesis and conclude that the grades follow the distribution claimed by the professor.

A Biology Professor Claims That, on the Average 15%15 \%15% Of Her Students Get a Grade Of

A Biology Professor Claims That, on the Average $15 \%$ Of Her Students Get a Grade Of