Question

In order to make statistical inferences when testing a population proportion p, which of the following conditions verify that inference procedures are appropriate?

a. The data are collected using a random sample or random assignment.
b. The sample size is less than 10 percent of the population size.
c. np0≥10 and n(1−p0)≥10 for sample size n and hypothesized proportion p0.

Answer 1

a, b and c.

Explanation:

The statistical inference may be defined as the process of using the data analysis to infer the properties of an underlying distribution for a probability.

In the context, for testing the population proportion p, the following conditions are used to verify the inference procedures so as to make the statistical inferences :

-- data that are collected by a random assignment or by a random sample.

-- sample size should be less than 10% of population size.

-- The
`$n \ p_0 \geq 10$` and the
`$n(1-p_0) \geq 10$` for the sample size
`$n$` as well as for the hypothesis proportion,
`$p_0.$`