Medicare would like to test the hypothesis that the average monthly rate for
one-bedroom assisted-living facility is equal to $3,300. A random sample of 12
assisted-living facilities had an average rate of $3,690 per month. The standard
deviation for this sample was $530. Medicare would like to set α = 0.05. Which one of
the following statements is true?
A) Because the p-value is greater than α, we fail to reject the null hypothesis and cannot
conclude that the average monthly rate for an assisted-living facility is not equal to
$3,300.
B) Because the p-value is greater than α, we fail to reject the null hypothesis and
conclude that the average monthly rate for an assisted-living facility is equal to $3,300.
C) Because the p-value is less than α, we fail to reject the null hypothesis and conclude
that the average monthly rate for an assisted-living facility is not equal to $3,300.
D) Because the p-value is less than α, we reject the null hypothesis and conclude that
the average monthly rate for an assisted-living facility is not equal to $3,300.
A ________ distribution is useful for calculating the probability that a certain number
of events will occur over a specific interval of time or space.
A) binomial
B) Poisson
C) normal
D) hypergeometric