A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100.
Estimate: Happiness = β0 + β1 Age + ε. (Round your answers to 2 decimal places.)
Happiness = [ ] + [ ] Age.
b-1. Choose the hypotheses to determine if age has an impact on happiness.
H0: β1 = 0; HA: β1 ≠ 0
H0: β1 < 0; HA: β1 > 0
H0: β1 > 0; HA: β1 < 0
b-2. Calculate the value of the test statistic. (Round answer to 2 decimal places.)
Test statistic: [ ]
b-3. Find the p-value:
○ p-value < 0.01
○ 0.01 ≤ p-value < 0.025
○ 0.025 ≤ p-value < 0.05
○ 0.05 ≤ p-value < 0.10
○ p-value ≥ 0.10
c. At the 1% significance level, is Age significant in explaining Happiness?
No, since we do not reject the null hypothesis.
Yes, since we do not reject the null hypothesis.
No, since we reject the null hypothesis.
Yes, since we reject the null hypothesis.