Question7. A Gallup poll asked random samples of Americans in 2016 and 2018 if they were satisfied with the quality of the environment. In 2016, 548 were satisfied with the quality of the environment and 430 were dissatisfied. In 2018, 477 were satisfied and 438 were dissatisfied. Determine whether the proportion of Americans who are satisfied with the quality of the environment has declined. Use a 0.05 significance level. a) Will you conduct hypotheses tests for mean or proportion? One sample or two sample? Explain. Utilize the correct variables to support your answers. conduct a propgrtiontests and a two gample (4 pts) orrection b) Clearly state the null and alternative hypotheses for the test. $$\begin{array}{l} H_{0}: p_{1}=p_{2} \\ H_{A}: p_{1}>P_{2} \end{array}$$ (4 pts) c) Based on the technology output given below will you reject the null hypothesis? Explain why or why not? (4 pis)
Hypothesis test results: \begin{tabular}{|l|r|r|r|r|c|c|c|c|} \hline Difference & Count1 & Total1 & Count2 & Total2 & Sample Diff & Std. Err. & Z-Stat & P-value \\ \hline $\mathrm{P}_{1}-\mathrm{P}_{2}$ & 548 & 978 & 477 & 915 & 0.039015723 & 0.022917462 & 1.7024452 & 0.0443 \\ \hline \end{tabular}
We fiwie reject the null hypothgsis Becaus e there enough why? - significant evidence why d) Write a sentence clearly stating your conclusion in the context of the problem. (5 pts)