I need guidance on how to calculate these problems correctly. I think my calculations are off.

According to a recentreport, 47% of college student internships are unpaid. A recent survey of 60 college interns at a local university found that 30 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 0.47.

b. Assume that the study found that 39 of the 60 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:

H1:

(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?

Reject OR Do not reject the null hypothesis. There is not OR is sufficient evidence that the proportion of college interns that had unpaid internships is less than OR

different from OR greater than 0.47 because thep-value is less than OR greater than the level of significance.

b. Assume that the study found that 39 of the 60 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 different from OR the same as part(a). Do not reject OR Reject

the null hypothesis. There is not OR is sufficient evidence that the proportion of college interns that had unpaid internships is less than OR different from OR greater than 0.47 because thep-value is less than OR greaterthan the level of significance.