Consider the following competing hypotheses:
H0: ρxy ≥ 0
HA: ρxy < 0
The sample consists of 30 observations and the sample correlation
coefficient is –0.46. [You may find it useful to reference
the t table.]
a-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
a-2. Find the p-value.
p-value < 0.01
Test Statistic :-
t = -2.741
Test Criteria :-
Reject null hypothesis if
Result :- Reject null hypothesis
Decision based on P value
P - value = P ( t > 2.741 ) = 0.0053
Reject null hypothesis if P value <
level of significance
P - value = 0.005 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis
p-value < 0.01
Reject H0, There is sufficient evidence to conclude
Consider the following competing hypotheses: H0: ρxy ≥ 0 HA: ρxy < 0 The sample consists of 30 observations and the sample correlation coefficient is –0.46. [You may find it useful to reference t...
Consider the following competing hypotheses: H0: ρxy ≥ 0 HA: ρxy < 0 The sample consists of 30 observations and the sample correlation coefficient is –0.46. Use Table 2. a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic b. Approximate the p-value. 0.005 < p-value < 0.01 p-value < 0.005 0.01 < p-value <...
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