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Consider the following hypotheses. Upper H0​: p equals = 0.67 Upper H1​: p ≠ 0.67 Given...

Consider the following hypotheses. Upper H0​: p equals = 0.67 Upper H1​: p ≠ 0.67 Given that p = 00.53​, n = 100 100​, and α = 0.05​, answer the following questions. a. What conclusion should be​ drawn? b. Determine the​ p-value for this test. c. Determine the critical​ value(s) of the test statistic

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Answer #1

Solution :

= 0.53

n = 100

P0 = 0.67

1 - P0 = 0.33

Test statistic = z

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

= 0.53 - 0.67 / [(0.67 * 0.33) / 100]

z = -2.98

= 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z 0.025 = +/-1.96

Critical values are : -1.96 , +1.96

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