Question

the number of successes and the sample size are given for a simple random sample from a population. determine the sample proportion for x

Answer 1

Complete Question

The number of successes and the sample size for a simple random sample from a population are given below. x-4, n 200,
`H_o`: p- 0.01, Ha p>0.01, a 0.05 . determine the sample proportion of x

Answer:

The sample proportion of x is
`\^ p = 0.02`

Explanation:

From the question we are told that

The number of success is x = 4

The sample size is n = 200

The null hypothesis is
`H_o : p = 0.01`

The alternative hypothesis is
`H_a : p > 0.01`

The level of significance is
`\alpha = 0.05`

Generally the sample proportion of x is mathematically represented as

`\^ p = (x)/(n)`

=>
`\^ p = (4)/(200)`

=>
`\^ p = 0.02`