Question

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.)

Answer 1