State your conclusion to the following hypothesis test. A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted.

The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.

Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.

Question 11 options:

a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.

c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.

Construct the equation of the regression line.

An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line.

Number of Pages, x
7
12
4
14
25
30

Cost, y
128
213
75
250
446
540
Question 28 options:

yˆ=17.9(x)+1.6

yˆ=15.4(x)+7.1

yˆ=1.6(x)+17.9

yˆ=7.1(x)+15.4

Use the model to make the appropriate prediction.

A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen pregnancy rate (y). Data from all 50 states produced the regression model:

yˆ=4.3+1.4(x)

What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6?