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For the following three questions, you will be testing for correlation between people's opinions of bilingual education (X) and their opinions about whether foreign born citizens should be allowed to run for president (Y) using the following data. The scale for both variables is 1 to 9, representing strong opposition to strong favor respectively. The null hypothesis is that X and Y are not correlated.
X Y
2 5
5 3
1 2
7 9
1 3
Calculate r. What are the degrees of freedom and do we retain or reject the hypothesis?

Sagot :

fichoh

Answer:

0.7539

Degree odndd

Step-by-step explanation:

X Y

2 5

5 3

1 2

7 9

1 3

X :

2

5

1

7

1

Y:

5

3

2

9

3

Using a correlation Coefficient calculator, the correlation Coefficient, R value obtained is 0.7539

H0 : ρ = 0

H1 : ρ ≠ 0

The test statistic :

T* = r(√n - 2) / (√1 - r²)

T* = 0.7539 * √5 - 2) / (√1 - 0.7539²)

T* = 1.3057931 /0.6569891

T* = 1.988

Using the Pvalue from t statistic calculator :

T* = 1.988 ; df = 5 - 2 = 3

Pvalue = 0.0704

At α = 0.05

Pvalue > α ; we fail to reject H0 ; and thus conclude that and Y are not correlated. And conclude that X and Y are not correlated.

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