Consider the following hypothesis statement and data from two independent sample proportions:
\[
\begin{array}{l}
H 0: p_{1}-p_{2}=0 \text { vs. } H a: p_{1}-p_{2} \neq 0 \\
\bar{p}_{1}=0.19, n_{1}=32, x 1=6 \\
\bar{p}_{2}=0.45, n 2=40, x 2=18
\end{array}
\]
Where x 1 and x 2 are the numbers of interest in samples 1 and 2 , respectively.
The standard error of the proportion is \( \square \) , and the test statistic is (include the negative sign if needed) \( \square \) The critical value (in absolute values) is
\( \square \) , and the p -value is \( \square \) (include 4 decimal places and zero before the decimal place).
We \( \square \) HO at a \( 5 \% \) significance level. (write failed to reject or reject, lowercase)
Round to two decimal places for all your calculations and final answer.
