After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?

D

Step-by-step explanation:

The null hypothesis is that p=0.19. The engineer says that this estimate is too low, meaning he believes the true proportion is greater than 0.19 - p>0.19. Because this is a proportion of ALL houses in the state, we use p rather than phat, leaving D as the correct answer.

Step-by-step explanation:

Let n be the maximum number of packages, that Shawn can carry with himself in the elevator if he is the only passenger.

Since each package weighs 5 pounds and Shawn weighs 100 pounds.

Total weight = Shawn's weight + (Weight of each package ) x (Number of packages)

= 100+5n

Since , the elevator can carry a maximum of 340 pounds at a time , then

Subtract 100 from both sides , we get

Divide both sides by 5 , we get

So , the inequality shows the maximum number of packages, n, that Shawn can carry with himself in the elevator if he is the only passenger is .