Question

In: Statistics and Probability

Consider the following hypotheses: H0: p ≥ 0.45 HA: p < 0.45 What is the pvalue...

Consider the following hypotheses:

H0: p ≥ 0.45

HA: p < 0.45

What is the pvalue for A,B,C,and D?

a. x = 42; n = 105
b. x = 139; n = 331
c. p¯ = 0.35; n = 69
d. p¯ = 0.35; n = 456

Solutions

Expert Solution

a) P-Value = 0.1515

b) P-Value = 0.1358

c) P-Value = 0.0475

d) P-Value = 0

Explanation:

p= 0.45

H0: p ≥ 0.45

HA: p < 0.45

a)

x = 42; n = 105

Calculate test statistics

z = -1.03

P-Value = P(z < -1.03)

using normal z table we get

P(z < -1.03)= 0.1515

P-Value = 0.1515

b)

x = 139; n = 331

Calculate test statistics

z = -1.10

P-Value = P(z < -1.10)

using normal z table we get

P(z < -1.10)= 0.1358

P-Value = 0.1358

c)

= 0.35; n = 69

Calculate test statistics

z = -1.67

P-Value = P(z < -1.67)

using normal z table we get

P(z < -1.67)= 0.0475

P-Value = 0.0475

d)

= 0.35; n = 456

Calculate test statistics

z = -4.29

P-Value = P(z < -4.29)

using normal z table we get

P(z < -4.29 )= 0

P-Value = 0

orchestra answered 1 year ago
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