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Use the one-proportion z-test to perform the specified hypothesis test. Use the

ID: 3227858 • Letter: U

Question

Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach.

x = 768, n = 1200, H0: p = 0.5, Ha: p > 0.5, = 0.05

z = 7.275; critical value = 1.645; reject H0

z = 9.699; critical value = 1.96; reject H0

z = 7.275; critical value = 1.96; do not reject H0

z = 9.699; critical value = 1.645; reject H0

A.

z = 7.275; critical value = 1.645; reject H0

B.

z = 9.699; critical value = 1.96; reject H0

C.

z = 7.275; critical value = 1.96; do not reject H0

D.

z = 9.699; critical value = 1.645; reject H0

Explanation / Answer

Observed proportion,p1 = 768/1200 =0.64

Hypothesized p = 0.5

z =( p1 - p)/ sigma

sigma =sqrt[p*(1-p)/n]

Hence, z = [0.64-0.5]*sqrt(1200)/0.5 = 9.699

Critical value for one sided test is 1.645 for alpha = 0.05

Hence, the correct answer is D

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