Question

A pharmaceutical company claims that a new treatment is successful in reducing fever in more than 60% of the cases. The treatment was tried on 40 randomly selected cases and 11 were successful. Is this hypothesis test a one-sided or two-sided test?

Answer 1

One sided

Explanation:

An hypothesis will be regarded as either one sides or two-sided of the critical area of the distribution is either to the right or left or to both sides of the distribution.

A one - sided hypothesis has its critical area either to the right or left, this can be depicted for the hypothesis statement with the greater than or less than sign.

A two-sided hypothesis on the other hand has it's critical area to either(both) sides of the distribution, this can be depicted by hypothesis statements using the = and ≠

For the question given :

H0 : p ≤ 0.6

H1 : p > 0.6

Hence, it is a one-sided hypothesis.