Step-by-step explanation

State the alternative hypothesis for this experiment.

Here we want to test whether the two drugs were being compared for effectiveness in a randomized control trial or they have same effect.

So the null and alternative hypothesis are as follows:

Null hypothesis, H₀: µ₁ = µ₂

Alternative hypothesis, H₁: µ₁ ≠ µ₂

Which of the following are not assumptions needed to apply the independent samples t-test for this problem?

There are three main assumption for independent samples t-test.

1) Independence: both the groups are independent and the sample are randomly selected from the population.

From this assumption, we require 

Independent sampling within the groups

Independent sampling between the groups

2) Normality: The data is comes from the normal distribution.

From this we required

No outliers in either group

Each group must not be heavily skewed.

3) Homogeneity of Variance

The variances of each samples are homogeneous.

So from the given options, we do not need 

"At least 10 successes and failures in each group" and "Sigma must be known" these assumptions".

Answer: 

At least 10 successes and failures in each group and

Sigma must be known" these assumptions.