The test statistic of z- 1.81 is obtained when testing the claim that p>0.3 a. I

Question

The test statistic of z- 1.81 is obtained when testing the claim that p>0.3 a. Idenify the hypothesis test as being two-tailed, left-tailed, or right-tailed b. Find the P-value. c. Using a significance level of ?-? 05, should we reject Ho or should we fail to reject Ho? a. This is a right-tailed test b. P-value- (Round to three decimal places as needed.) c. Choose the correct conclusion below. O A. Reject Ho. There is sufficient evidence to support the claim that p> 0.3 O B. Reject Ho. There is not sufficient evidence to support the claim that p>0.3. O C. Fail to reject Hg. There is sufficient evidence to support the claim that p 0.3. O D. Fail to reject Ho. There is not sufficient evidence to support the claim that p>0.3 Click to select your answer(s).

Explanation / Answer

a)

Claim: p > 0.3

This is right tailed test.

b)

z = 1.81

p-value = P( Z > z)

= P( Z > 1.81)

= 1 - P( Z < 1.81)

= 1 - 0.9649

= 0.0351

p-value = 0.0351

c)

Since p-value < 0.05 significance level, we have sufficient evidence o reject H0.

Conclusion -

Reject H0. There is sufficient evidence to support the claim that p > 0.3

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