According to the report by the government-lending institution, college students who have credit cards have an average credit card balance of

$1,066.

A random sample of

60

college students was selected, and their average credit card debt was found to be

$1,405.

Assume the standard deviation for student credit card debt is

$276.

Using

=0.10,

complete parts a and b below.

Question content area bottom

Part 1

a. Does this sample provide enough evidence to challenge the findings by the lending institution?

Determine the null and alternative hypotheses.

H0:

less than or equals

less than<

greater than or equals

equals=

not equals

greater than>

enter your response here

H1:

equals=

less than<

not equals

less than or equals

greater than>

greater than or equals

enter your response here

Part 2

The z-test statistic is

enter your response here.

(Round to two decimal places as needed.)

Part 3

The critical z-score(s) is(are)

enter your response here.

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

Part 4

Because the test statistic

falls within the critical values,

is less than the critical value,

is greater than the critical value,

does not fall within the critical values,

reject

do not reject

the null hypothesis.

Part 5

b. Determine the p-value for this test.

The p-value is

enter your response here.

(Round to three decimal places as needed.)