Question

A study is conducted to determine whether a new cancer drug increases the mean survival time by at least 30 days for a certain type of cancer. Explain in context the conclusion of the test if you fail to reject H0.

Answer 1

There is insufficient evidence to support the clain that the new cancer drug increases the mean survival time by at least 30 days

Explanation:

We are given the following in the question:

Hypothesis:

Test to determine whether the new cancer drug increases the mean survival time by at least 30 days

Null hypothesis:

The null hypothesis says that there is no difference from the population that is the new drug does not increase the mean survival time by at least 30 days.

Alternate hypothesis:

It says that there is a difference from the population and the new drug increases the mean survival time by at least 30 days.

Fail to reject
`H_0`

When we fail to reject null hypothesis, we accept the null hypothesis which means there is no effect of the new cancer drug that is the new drug does not increase the mean survival time by at least 30 days.

The conclusion is that there is insufficient evidence to support the clain that the new cancer drug increases the mean survival time by at least 30 days