Question

Agronomists did a study to compare the mean yields of two methods for growing corn, one with normal-width rows and the other with narrow rows. They reported a value of p = 0.1687 for the p-value of their statistical test of hypothesis. What hypothesis did they say is correct?

   a, H₀: There is no significant difference between mean yields of the two methods

b. H_a: There is a significant difference between the mean yields of the two methods.

Answer 1

Here p-value = 0.1687

Default Significance level = 0.05

If the p-value is less than the significance level, we Reject the Null Hypothesis H₀ and conclude that there is sufficient evidence at the given significance level that the claim or alternate hypothesis H_a is correct

If the p-value is not less than the significance level, we fail to Reject the Null Hypothesis H₀ and conclude that there is not enough evidence at the given significance level that the claim or Alternate Hypothesis H_a is correct. So Null Hypothesis H₀ is correct in this case

Here p-value of 0.1687 not less than the significance level of 0.05, so we fail to Reject the Null Hypothesis H₀ and conclude that there is not enough evidence at the given significance level that the claim or Alternate Hypothesis H_a is correct.

So Null Hypothesis H₀ There is no significant difference between mean yields of the two methods is correct