a$.$ Test the claim using a hypothesis test.

hypotheses for the hypothesis test?

A$.H_0$:$p_1=p_2$

$H_0$:$p_1{p}_2{H}_1$:$p_1{p}_{2}z=P=P=0\mathrm{.}01H_0$:$p_1{p}_2{H}_1$:$p_1=p_2{H}_0$:$p_1=p_2{H}_1$:$p_1{p}_2{H}_0$:$p_1{p}_2$

$H_1$:$p_1{p}_2{H}_0$:$p_1=p_2$

$H_1$:$p_1>p_2{H}_1$:$p_1$

$D.H_0$:$p_1{p}_2$

$H_1$:$p_1{p}_2$

Identify the test statistic.

$z=$

$(Roundto$ two decimal places $as$ needed.$)$

Identify the $P-$value.

$P-$value $=$

$(Roundto$ three decimal places $as$ needed.$)$

What $is$ the conclusion based $on$ the hypothesis test?

The $P-$value $is$

the significance level $of=0\mathrm{.}01,so$

$B.H_0$:$p_1{p}_2$

$H_1$:$p_1=p_2$

$E.H_0$:$p_1=p_2$

$H_1$:$p_1{p}_2$

$C.$

$H_0$:$p_1{p}_2$

$H_1$:$p_1{p}_2$

$F.$

$H_0$:$p_1=p_2$

$H_1$:$p_1>p_2$

$b.$ Test the claim $by$ constructing $an$ appropriate confidence interval.

the null hypothesis. There

sufficient evidence $to$ support the claim that echinacea treatment has $an$ effect.