Question

1. A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours.
A random sample of 8 of its light bulbs resulted in the following lives in hours:

995 590 910 539   
916 728 664 693   

At the 0.01 significance level, test the claim that the sample is from a population with a mean life of 900 hours.

a. P-value = 0.979, reject alternative claim

b. P-value = 0.042, reject alternative claim

c. P-value = 0.979, fail to reject null claim

d. P-value = 0.021, reject null claim

e. P-value = 0.042, fail to reject null claim

2. In a sample of 74 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Using P-value, test the claim that the population proportion of all adults in the town that have been exposed to this strain of the flu is greater than 0.10. Use a 0.01 significance level and determine conclusion.

a. P-val = 0.732, reject the alternative hypothesis

b. P-val = 0.535, reject the alternative hypothesis

c. P-val = 0.268, fail to reject the null hypothesis

d. P-val = 0.732, fail to reject the alternative hypothesis

e. P-val = 0.535, fail to reject the null hypothesis

f. P-val = 0.268, reject the null hypothesis

3. An article in a journal claims that 37% of American fathers take no responsibility for child care. Using P-value approach and a 0.10 significance level, test the claim using a random sample of 254 fathers, of which 82 did not help with child care.

a. P-value = 0.059; reject H0

b. P-value = 0.940; reject H1

c. P-value = 0.119; fail to reject H0

d. P-value = 0.119; reject H0

e. P-value = 0.059; fail to reject H0

f. P-value = 0.940; fail to reject H1

Answer 1