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, [tex]H_o[/tex]: p- 0.01, Ha p>0.01, a 0.05 . determine the sample proportion of x
Answer:
The sample proportion of x is [tex]\^ p = 0.02[/tex]
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 [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a : p > 0.01[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion of x is mathematically represented as
[tex]\^ p = \frac{x}{n}[/tex]
=> [tex]\^ p = \frac{4}{200}[/tex]
=> [tex]\^ p = 0.02[/tex]
