(Please note, in my class we are instructed to calculated CI of 95% by multiplying by 2... not the exact decimal. Also, please show your work! Thanks!) For each question, find the approximate 95% CI and then decide whether the null hypothesis should be rejected. a. H₀: = 50 x=56.3 standard error of x = 3.9 (round your answers to 1 decimal place) The approximate 95% CI for is to The result of the hypothesis test is:

Reject H₀, because the null value is inside the 95% CI.

Reject H₀, because the null value is outside the 95% CI.

Fail to reject H₀, because the null value is inside the 95% CI.

Fail to reject H₀, because the null value is outside the 95% CI. b. H₀: = -2 x=-2.37 standard error of x = 0.66 (round your answers to 2 decimal place) The approximate 95% CI for is to The result of the hypothesis test is:

Reject H₀, because the null value is inside the 95% CI.

Reject H₀, because the null value is outside the 95% CI.

Fail to reject H₀, because the null value is inside the 95% CI.

Fail to reject H₀, because the null value is outside the 95% CI. c. H₀: ₁ - ₂ = 0 x₁ = 82557, x₂ = 88855 standard error of x₁ - x₂ = 1497 The approximate 95% CI for ₁ - ₂ is to The result of the hypothesis test is:

Reject H₀, because the null value is inside the 95% CI.

Reject H₀, because the null value is outside the 95% CI.

Fail to reject H₀, because the null value is inside the 95% CI.

Fail to reject H₀, because the null value is outside the 95% CI.