Question

A study is conducted to determine the relationship between a driver's age and the number of accidents he or she has over a 1-year period. The data are shown here. If there is a significant relationship, predict the number of accidents of a driver who is 28.

Driver's	No. of
Age x	accidents y
16	3
24	2
18	5
17	2
23	0
27	1
32	1

For steps 4 and 5 of the hypothesis testing, what is your decision?

Select one:

a. Fail to reject H0. There is no relationship between the variables.

b. Reject H0. There is a significant relationship between the variables.

c. Fail to reject H0. The means are the same.

d. Reject H0. There is no relationship between the variables.

Answer 1

Solution:-

The correlation for the given data is given as:

r = - 0.6101

Null Hypothesis HO: The population correlation coefficient is not significantly different from 0.( )

Alternate Hypothesis HA: The population correlation coefficient is significantly different from 0.( )

Significance level = 0.05

Degree of freedoms:-

D.F = n - 2

D.F = 5

Test statistics:-

t = - 1.72

P-value = P(t < - 1.72) + P(t > 1.72)

Use the calculator to determine the p-values.

P-value = 0.073 + 0.073

p value for test = 0.146

Since p value(0.146) is greater than the significance value so we have to accept the null hypothesis.

a) Fail to reject H0. There is no relationship between the variables.