Question

Suppose that 29\%29%29, percent of undergraduates at a large university are involved in a campus organization. The administration plans to take an SRS of 100100100 undergraduates from the population of over 20{,}00020,00020, comma, 000 undergraduate students at the school to see what proportion of students sampled are involved in a campus organization.

Answer 1

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

 

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

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