Question

Use the normal distribution and the given sample results to complete the test of the given...

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level. Test H0 : p=0.5 vs Ha : p>0.5 using the sample results p^=0.56 with n=50 Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.

Test statistic:

p-value:

Homework Answers

Answer #1

Solution ;

Given that,

n = 50

= 0.56

P0 = 0.5

1 - P0 = 1 - 0.5 = 0.5

z = - P0 / [P0 * (1 - P0 ) / n]

= 0.56 - 0.5/ [(0.5 * 0.5) / 50]

= 0.85

Test statistic = 0.85

This is the right tailed test .

P(z > 0.80) = 1 - P(z < 0.85) = 1 - 0.8023 = 0.1977

P-value = 0.1977

= 0.05

P-value >

fail to Reject

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