According to a recent report, 46% of college student internships are unpaid. A recent survey of60 college interns at a local university found thathad 30 unpaid internships.

a. Use the five-step p-value approach to hypothesis testing and a0.1 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.46 .

b. Assume that the study found that 37of the 60college interns had unpaid internships and repeat (a). Are the conclusions the same?

a. Letbe the population proportion. Determine the null hypothesis, , and the alternative hypothesis, .

:

equals

0.46

:

not equals

0.46

(Type integers or decimals. Do not round.)

What is the test statistic?

0.62

(Round to two decimal places as needed.)

What is the p-value?

The p-value is

0.535.

(Round to three decimal places as needed.)

What is the final conclusion?

Do not reject

the null hypothesis. There

is not

sufficient evidence that the proportion of college interns that had unpaid internships is

different from

because the p-value is

greater than

the level of significance.

b. Assume that the study found that 37of the60 college interns had unpaid internships and repeat (a). What is the test statistic?

Zstat=

nothing

(Round to two decimal places as needed.)