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 Upper H 0.

H0: The new cancer drug increases the mean survival time by 30 days

Ha: The new cancer drug increases the mean survival time by 30 or more than 30 days.

If fail to reject H0 (the null hypothesis), the conclusion is that the new cancer drug increases the mean survival time by 30 days.

Step-by-step explanation:

The null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

The alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

The test is a two-tailed test because the alternate hypothesis is expressed using more than or equal to.

If I fail to reject H0, it means the test statistic falls within the region bounded by the critical values.

It would therefore be concluded that the new cancer drug increases the mean survival time by 30 days.