Problem

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

Solution

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.

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Source: https://solvelyapp.com/problems/2hry1czo5R/

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