Applicants for a particular job, which involves extensive travel in Spanish-speaking countries, must take a proficiency test in Spanish. The sample data were obtained in a study of the relationship between the numbers of years (x) applicants have studied Spanish and their score 
on the test. The regression analysis is given below.
The regression equation is = 31.53333 + 10.90476x.
R-sq = 83.0%
10 - 2 = 8 degrees of freedom
PredictorCoefSE(Coef) T P
Constant31.533336.3604184.9577450.00111
Number of years10.904761.7440546.2525380.00024
: No linear relationship between the number of years and test score, β = 0.
: There is a linear relationship between the number of years and test score, β â‰* 0.
Do the data provide sufficient evidence to conclude that the number of years applicants have studied Spanish and their score on the test are independent? Assume α = 0.05.
26) I CHOSE D, IS THAT CORRECT?
A)
No conclusions can be drawn without a chi-squared test of independence.
B)
Since the P-value=0.00111 < 0.05, we reject and conclude that there is an association between the number of years applicants have studied Spanish and their score on the test.
C)
Since the P-value =0.00111 < 0.05, we reject and conclude that the number of years applicants have studied Spanish and their score on the test are independent.
D)
Since the P-value =0.00024 < 0.05, we reject and conclude that the number of years applicants have studied Spanish and their score on the test are independent.
E)
Since the P-value=0.00024 < 0.05, we reject and conclude that there is an association between the number of years applicants have studied Spanish and their score on the test.
on the test. The regression analysis is given below.The regression equation is = 31.53333 + 10.90476x.
R-sq = 83.0%
10 - 2 = 8 degrees of freedom
PredictorCoefSE(Coef) T P
Constant31.533336.3604184.9577450.00111
Number of years10.904761.7440546.2525380.00024
: No linear relationship between the number of years and test score, β = 0.
: There is a linear relationship between the number of years and test score, β â‰* 0.
Do the data provide sufficient evidence to conclude that the number of years applicants have studied Spanish and their score on the test are independent? Assume α = 0.05.
26) I CHOSE D, IS THAT CORRECT?
A)
No conclusions can be drawn without a chi-squared test of independence.
B)
Since the P-value=0.00111 < 0.05, we reject and conclude that there is an association between the number of years applicants have studied Spanish and their score on the test.
C)
Since the P-value =0.00111 < 0.05, we reject and conclude that the number of years applicants have studied Spanish and their score on the test are independent.
D)
Since the P-value =0.00024 < 0.05, we reject and conclude that the number of years applicants have studied Spanish and their score on the test are independent.
E)
Since the P-value=0.00024 < 0.05, we reject and conclude that there is an association between the number of years applicants have studied Spanish and their score on the test.