Question

1.A manufacturer claims that fewer than 6% of its fax machines are defective. To test this claim,
he selects a random sample of 97 such fax machines and finds that 5% are defective.

Find the P-value for the test of the manufacturer's claim.

Group of answer choices

a. 0.1591

b. 0.3630

c. 0.3264

d. 0.1736

2.

Suppose you want to test the claim that μ ≠ 3.5. Population standard deviation is known.
Given a sample size of n = 47 and a level of significance of α = .10, when should you reject H₀ ?

Group of answer choices

a. Reject H₀ if the standardized test statistic is greater than 1.645 or less than -1.645.

b. Reject H₀ if the standardized test statistic is greater than 2.575 or less than -2.575.

c. Reject H₀ if the standardized test statistic is greater than 1.96 or less than -1.96

d. Reject H₀ if the standardized test statistic is greater than 2.33 or less than -2.33

3.

Find the critical values for hypothesis test using a sample of size n = 15,
a significance level of α = 0.05 and a null hypothesis H₀: μ ≤ 20.

Assume that we are sampling from a normal distribution with unknown population SD.

Group of answer choices

a. 1.761

b. 2.625

c. 2.977

d. 1.345

Answer 1

1)

Ho :   p =    0.06  
H1 :   p <   0.06   (Left tail test)
          
Level of Significance,   α =    0.05  

Sample Size,   n =    97  
          
Sample Proportion ,    p̂ = 0.0500  
          
Standard Error ,    SE = √( p(1-p)/n ) =    0.0241  
Z Test Statistic = ( p̂-p)/SE =    (0.05-0.06)/0.0241=   -0.41  
          
p-Value   =   0.3264 [excel function =NORMSDIST(z)]

2) a. Reject H0 if the standardized test statistic is greater than 1.645 or less than -1.645.

3) one tail test

α=0.05

degree of freedom=   DF=n-1=   14

critical t value, t* =        1.761