Question

A high school teacher hypothesized that in her class, boys were taller than girls. If the probability value of her null hypothesis is 0.34, it means:

(A) We failed to reject the null hypothesis
(B) Boys were significantly taller than girls
(C) Girls were significantly taller than boys
(D) Her null hypothesis was rejected

Answer 1

(A) We failed to reject the null hypothesis

Explanation:

Given that a high school teacher hypothesized that in her class, boys were taller than girls. If the probability value of her null hypothesis is 0.34, it means:

Here p value is 0.34

This is greater than 0.05 or 0.1 i.e. both for 5% significance and 10% significance.

Whenever p > alpha, we fail to reject null hypothesis

A) We failed to reject the null hypothesis

This would be the correct option

i.e. final conclusion is that there is no significant difference between mean height of girls and mean height of boys at 5% or 10% significance level.