According to a recentreport, 45% of college student internships are unpaid. A recent survey of 100 college interns at a local university found that 59 had unpaid internships.

a. Use thefive-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.45.

b. Assume that the study found that 48 of the 100 college interns had unpaid internships and repeat(a). Are the conclusions thesame?

a. Let be the population proportion. Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0: (1)

H1: (2)

(Type integers or decimals. Do notround.)

What is the teststatistic?

ZSTAT=

(Round to two decimal places asneeded.)

What is thep-value?

Thep-value is

(Round to three decimal places asneeded.)

What is the finalconclusion?

(3) the null hypothesis. There (4) sufficient evidence that the proportion of college interns that had unpaid internships is (5) 0.45 because thep-value is (6) the level of significance.

b. Assume that the study found that 48 of the 100 college interns had unpaid internships and repeat(a). What is the teststatistic?

ZSTAT=

(Round to two decimal places asneeded.)

What is thep-value?

Thep-value is

(Round to three decimal places asneeded.)

What is the finalconclusion?

The result is (7) part(a). (8) the null hypothesis. There (9) sufficient evidence that the proportion of college interns that had unpaid internships is (10) 0.45 because thep-value is (11) the level of significance.

(1)

<

>

=

(2)>

<

=

(3)Do not reject

Reject

(4)is not

is

(5)lessthan

greaterthan

differentfrom

(6)lessthan

greaterthan

(7)the same as

different from

(8)Do not reject

Reject

(9)is

is not

(10)greaterthan

lessthan

differentfrom

(11)lessthan