Test the hypothesis using the P-value approach.
\[
\begin{array}{l}
H_{0}: p=0.45 \text { versus } H_{1}: p< 0.45 \\
n=150, \alpha=62, \alpha=0.05
\end{array}
\]
Perform the test using the P-value approach.
P-value $=0.1834$ (Round to four decimal places as needed )
Choose the correct answer below.
A. Since $P$-value $> \alpha$, do not reject the null hypothesis
B. Since $P$-value $< \alpha$, reject the null hypothesis
C. Since $P$-value $> \alpha$, reject the null hypothesis.
D. Since $\mathrm{P}$-value $< \alpha$, do not reject the null hypothesis
So, the correct answer is A. Since P-value > α, do not reject the null hypothesis.
Step 1 :Given that the P-value is 0.1834 and the significance level (α) is 0.05.
Step 2 :We compare the P-value with the significance level to make a decision about the null hypothesis.
Step 3 :If the P-value is less than or equal to the significance level, we reject the null hypothesis. If the P-value is greater than the significance level, we do not reject the null hypothesis.
Step 4 :In this case, the P-value (0.1834) is greater than the significance level (0.05).
Step 5 :\(\boxed{\text{Therefore, we do not reject the null hypothesis.}}\)
Step 6 :So, the correct answer is A. Since P-value > α, do not reject the null hypothesis.