Question

The accompanying data have a sample correlation? coefficient, rounded to three decimal? places, of negative 0.583. Perform a hypothesis test with the data to determine if the population correlation coefficient rho is less than zero using alphaequals0.01.
x
8
5
3
2
5

y
5
9
9
7
6
What are the correct null and alternative? hypotheses?
A.
Upper H 0?: rho greater than or equals 0
Upper H 1?: rho less than 0
B.
Upper H 0?: rho equals 0
Upper H 1?: rho not equals 0
C.
Upper H 0?: rho not equals 0
Upper H 1?: rho equals 0
D.
Upper H 0?: rho less than or equals 0
Upper H 1?: rho greater than 0
What is the test? statistic?
tequals
nothing ?(Round to two decimal places as? needed.)
What is the? p-value?
?p-valueequals
nothing ?(Round to three decimal places as? needed.)
State the conclusion.
?
Reject
Do not reject
Upper H 0. There
?
is
is not
enough evidence from the sample to conclude that rho is
?
not equal to
greater than
less than
zero.

Answer 1

The statistical software output for this problem is:

Hence,

Hypotheses: Option A is correct.

Test statistic = -1.24

p-value = 0.151

Conclusion: Do not reject; is not; Less than