Question

Graph the situation. Label and scale the horizontal axis. Mark the mean and test statistic. Shade in the region corresponding to the p-value.

Let $\alpha =0.05$

Decision: ________________

Reason for the Decision: ________________

Conclusion (write out in complete sentences): ________________

Short answer

The graph:

$\alpha =0.05$

Decision: Reject the null hypothesis and the alternative is accepted.

Reason for the Decision: p-value $<\alpha$

Conclusion: AIDS cases do not reflect the ethnic makeup of Santa Clara County's general population.

Step-by-step solution

Given Information

Given data:

$\begin{array}{|lll|}\hline \text{Ethnicity}& \begin{array}{l}\text{Percentage of total county}\\ \text{population}\end{array}& \begin{array}{l}\text{Number expected (round to two}\\ \text{decimal places)}\end{array}\\ \text{White}& 42.9\%& 1748.18\\ \text{Hispanic}& 26.7\%& \\ \begin{array}{l}\text{BlacklAfrican-}\\ \text{American}\end{array}& 2.6\%& \\ \begin{array}{l}\text{Asian, Pacific}\\ \text{Islander}\end{array}& 27.8\%& \\ & \text{Total}=100\%& \\ \hline\end{array}$

Explanation

The graph:

$\alpha =0.05$

Decision: The alternative is accepted if the null hypothesis is rejected.

Reason for the Decision: p-value $<\alpha$.

Conclusion: AIDS cases do not reflect the ethnic makeup of Santa Clara County's general population.