Question

# Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day....

Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To test this​ claim, a random sample of 50 adults was​ selected, and their average coffee consumption was found to be 1.9 cups per day. Assume the standard deviation of daily coffee consumption per day is 0.5 cups. Using alpha=0.01​, complete parts a and b below.

a. Is the coffee​ industry's claim supported by this​ sample?

Determine the null and alternative hypotheses.

The​ z-test statistic is

_______

​(Round to two decimal places as​ needed.)

The critical​ z-score(s) is(are)

______

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Because the test statistic,_______(pick one below)

does not fall within the critical values,

is greater than the critical value,

falls within the critical values,

is less than the critical value,

_____________(pick one below)

do not reject

reject

the null hypothesis.

b. Determine the​ p-value for this test.

The​ p-value is_______

​(Round to three decimal places as​ needed.)