Use a 1% level of significance to test the claim that ρ < 0 (i) What are the null and alternative hypotheses? a.) H0: ρ = 0 and H1: ρ < 0 b.) H0: ρ = 0 and H1: ρ > 0 c.) H0: ρ < 0 and H1: ρ > 0 d.) H0: ρ > 0 and H1: ρ < 0 Part 2 (ii) Use a 1% level of significance to test the claim that ρ < 0 and what is the t-statistic? a.) -7.03 (d.f.=5) b.) -10.07 (d.f.=6) c.) -10.07 (d.f.=5) d.) -7.03 (d.f.=6)
Question 1-Part 1
Use a 1% level of significance to test the claim that ρ < 0
(i) What are the null and alternative hypotheses?
a.) H0: ρ = 0 and H1: ρ < 0
b.) H0: ρ = 0 and H1: ρ > 0
c.) H0: ρ < 0 and H1: ρ > 0
d.) H0: ρ > 0 and H1: ρ < 0
Part 2
(ii) Use a 1% level of significance to test the claim that ρ < 0 and what is the t-statistic?
a.) -7.03 (d.f.=5)
b.) -10.07 (d.f.=6)
c.) -10.07 (d.f.=5)
d.) -7.03 (d.f.=6)
Part 3
(iii) Use a 1% level of significance to test the claim that ρ < 0 and what is the p-value?
a.) .0005 < p-value < .005
b.) p-value < .0005
c.) .010 < p-value < .025
d.) .005 < p-value < .010
Part 4
(iv) Use a 1% level of significance to test the claim that ρ < 0 and what is your conclusion based on the p-value?
a.) At the 1% level of significance, we reject the null hypothesis. We have enough evidence to conclude that the population
b.) At the 1% level of significance, we fail to reject the null hypothesis. We do not have enough evidence to conclude that the population correlation coefficient between the depth of dive and the optimal time is negative.
c.) At the 1% level of significance, we reject the null hypothesis. We do not have enough evidence to conclude that the population correlation coefficient between the depth of dive and the optimal time is negative.
d.) At the 1% level of significance, we fail to reject the null hypothesis. We have enough evidence to conclude that the population correlation coefficient between the depth of dive and the optimal time is negative.
Part 5
Find a 90% confidence interval for β. Round to 3 decimal places.
a.) -0.388 < β < 0.280
b.) -.163 < β < 0.054
c.) -0.393 < β < 0.285
d.) -0.065 < β < -0.043
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