Question

the accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. complete parts (a) through (d) below. click the icon to view the table. a. find the probability of getting exactly 4 sleepwalkers among 5 adults 0.026 (type an integer or a decimal. do not round.) b. find the probability of getting 4 or more sleepwalkers among 5 adults 0.027 (type an integer or a decimal. do not round.) c. which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)? a. since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability. b. since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability. c. since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability. d. since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.

Explanation:

Step1: Recall significance in probability

To determine if a value is significantly high, we consider the probability of getting that value or more extreme values.

Step2: Analyze parts (a) and (b)

Part (a) gives probability of exactly 4 sleep - walkers. Part (b) gives probability of 4 or more sleep - walkers. The latter is relevant for significance as it includes all extreme cases related to 4 sleep - walkers.

Answer:

B. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability.