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vesna_86 [32]
3 years ago
14

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

he hypothesis that the proportion of one-person households exceeds 0.27. A random sample of 125 households found that 43 consisted of one person. To conduct the hypothesis test, what distribution would you use to calculate the critical value and the p-value?
a. the Student's t-distribution with 124 degrees of freedom
b. the Student's t-distribution with 125 degrees of freedom
c. the standard normal distribution
d. the Student's t-distribution with 42 degrees of freedom
Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer:

a. the Student's t-distribution with 124 degrees of freedom

Step-by-step explanation:

We have no information about the standard deviation of the population, just for the sample, which means that the student's t-distribution is used.

Degrees of freedom

Sample size subtracted by 1.

125 households were sampled.

125 - 1 = 124 degrees of freedom.

So the correct answer is:

a. the Student's t-distribution with 124 degrees of freedom

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