Question

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:

Answer 1

Solution ;

Given that,

n = 50

= 0.56

P₀ = 0.5

1 - P₀ = 1 - 0.5 = 0.5

z = - P₀ / [P_{0 *} (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