A biology professor claims that,) $\begin{array}{c|lllll}
\text { Grade } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Observed } & 10 & 34 & 46 & 6 & 4
\end{array}$
Test the hypothesis that the grades follow the distribution claimed by the professor. Use tl $\alpha = 0.05$ level of significance.
A) Do not reject $H _ { 0 }$.
B) Reject $H _ { 0 }$.

Question

Quizplus · Accepted Answer

To determine whether to reject or not reject the null hypothesis $H_0$ (which states that the observed frequencies match the expected frequencies according to the professor's claim), a chi-square test for goodness of fit is typically used. Without the expected frequencies or more details on the distribution claimed by the professor, we cannot calculate the chi-square statistic here. However, the instruction to "test the hypothesis" implies a procedural approach where we would compare the calculated chi-square statistic to a critical value from the chi-square distribution table at the given significance level ($\alpha = 0.05$). Without specific values or outcomes indicating a significant deviation from the expected distribution, the default position in hypothesis testing is to not reject $H_0$, assuming the observed data does not significantly differ from the expected distribution.

A Biology Professor Claims That,) Grade 12345 Observed 10344664\begin{array}{c|lllll}\text { Grade } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 10 & 34 & 46 & 6 & 4\end{array} Grade Observed ​110​234​346​46​54​​

A Biology Professor Claims That,) $\begin{array}{c|lllll}\text { Grade } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 10 & 34 & 46 & 6 & 4\end{array}$