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.
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.
d. 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
a) yˆ=17.9(x)+1.6
b) yˆ=15.4(x)+7.1
c) yˆ=1.6(x)+17.9
d) 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?