Aresearcher administers a treatment to a sample of participants selected from a population with µ = 80. if the researcher obtains a sample mean of m = 88, which combination of factors is most likely to result in rejecting the null hypothesis? group of answer choices σ = 10 and α = .05 σ = 5 and α = .01 σ = 5 and α = .05 σ = 10 and α = .01

If σ = 5 and α = .05 then we can reject the null hypothesis.

Explanation:

z-score of the sample mean is calculated using the formula:

z= where

If the p value of the z score is smaller than the significance level (α)  then null hypothesis will be rejected.

If s= σ = 10 and α = .05 then

z= =0.8 and corresponding p value ≈ 0.21

The result is not significant at p ≤ 0.05 therefore we fail to reject the null hypothesis.

If σ = 5 and α = .01 then

z= =1.6 and corresponding p value ≈0.05

The result is not significant at p ≤ 0.01 therefore we fail to reject the null hypothesis.

If σ = 5 and α = .05 then

z= =1.6 and corresponding p value≈0.05

The result is significant at p ≤ 0.05 therefore we can reject the null hypothesis.

If σ = 10 and α = .01 then

z= =0.8 and corresponding p value = 0.21

The result is not significant at p ≤ 0.01 therefore we fail to reject the null hypothesis.

answer:

true

c

explanation: