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  $\^ p = 0.02$

Step-by-step 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

      $\^ p = \frac{x}{n}$

=>   $\^ p = \frac{4}{200}$

=>   $\^ p = 0.02$