Question

A hypothesis test is conducted. In this hypothesis test, the alternative hypothesis is that more than 40% of the population wears a helmet while riding a bicycle. When the p-value for the hypothesis test is calculated, it is reported to be 0.24. Which statement below is a correct conclusion to be drawn from this information?

A. We can conclude that more than 40% of the population wears a helmet while riding a bicycle.

B. We cannot conclude that more than 40% of the population wears a helmet while riding a bicycle.

C. We can conclude that more than 24% of the population wears a helmet while riding a bicycle.

D. We can conclude that exactly 24% of the population wears a helmet while riding a bicycle.

E. There is a 24% chance the alternative hypothesis is true.

Answer 1

Solution:

Given:

Claim: more than 40% of the population wears a helmet while riding a bicycle.

Therefore, null and alternative hypotheses:

The p-value is 0.24

Decision rule: If p-value 0.05 then reject H0, otherwise fail to reject H0.

So, P-value = 0.24 > 0.05, then fail to reject H0.

That means result does not support to the claim.

Conclusion: We cannot conclude that more than 40% of the population wears a helmet while riding a bicycle (option B)

Done