Questions: The test statistic of z=1.43 is obtained when testing the claim that p>0.2.
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value.
c. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0?
a. This is a right-tailed test.
b. P-value =0.076 (Round to three decimal places as needed.)
c. Choose the correct conclusion below.
A. Reject H0. There is sufficient evidence to support the claim that p>0.2.
B. Reject H0. There is not sufficient evidence to support the claim that p>0.2.
C. Fail to reject H0. There is not sufficient evidence to support the claim that p>0.2.
D. Fail to reject H0. There is sufficient evidence to support the claim that p>0.2.
Transcript text: The test statistic of $\mathrm{z}=1.43$ is obtained when testing the claim that $\mathrm{p}>0.2$.
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the $P$-value.
c. Using a significance level of $\alpha=0.10$, should we reject $H_{0}$ or should we fail to reject $H_{0}$ ?
a. This is a right-tailed test.
b. $P$-value $=0.076$ (Round to three decimal places as needed.)
c. Choose the correct conclusion below.
A. Reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $\mathrm{p}>0.2$.
B. Reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $\mathrm{p}>0.2$.
C. Fail to reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $\mathrm{p}>0.2$.
D. Fail to reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $\mathrm{p}>0.2$.
Solution
Solution Steps
Step 1: Identify the Type of Hypothesis Test
The hypothesis test is identified as a right-tailed test since we are testing the claim that \( p > 0.2 \).
Step 2: Calculate the P-value
To find the P-value, we use the Z-score of \( z = 1.43 \). The P-value is calculated as follows: