Given below are two statements:

Statement I : In case of qualitative phenomena, we have data on the basis of presence or absence of an attribute or more than one attribute.

Statement II : With such data as mentioned in Statement I above the sampling distribution may take the form of a Binomial probability distribution.

In the light of the above statements, choose the correct answer from the options given below:

Key Points

Statement I : In case of qualitative phenomena, we have data on the basis of presence or absence of an attribute or more than one attribute.

• Statement I is true because qualitative phenomena are those that can be described in terms of quality, rather than quantity.
• For example, whether or not a person has a certain disease is a qualitative phenomenon. In such cases, we can only have data on the presence or absence of the attribute.

Statement II : With such data as mentioned in Statement I above the sampling distribution may take the form of a Binomial probability distribution.

• Statement II is true because the sampling distribution of a Binomial probability distribution is a discrete probability distribution that describes the probability of obtaining a certain number of successes in a fixed number of trials, where each trial has only two possible outcomes, success or failure.
• This is the case for qualitative phenomena, where each trial is the observation of a single individual and the two possible outcomes are "has the attribute" and "does not have the attribute."

Therefore, the correct answer is (1). Both Statement I and Statement II are true.