Answer: 151
Step-by-step explanation:
When the prior estimate of population proportion is available , then the formula for sample size: [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]
, where p= prior estimate of population proportion
z*= critical-value.
E= Margin of error.
Let p be the proportion of of girls "wait for their missionary".
p = 11% =0.11
E= ± 0.03
The critical z-value corresponding to 90% confidence level = z*=1.645 [using z-table ]
Substitute all the values in the above formula , we get
Required sample size :[tex]n=(0.11)(1-0.11)(\dfrac{(1.96)}{0.05})^2[/tex]
[tex]\Rightarrow\ n=(0.11)(0.89)(39.2)^2[/tex]
[tex]\Rightarrow\ n=(0.0979)(1536.64)\\\\\Rightarrow\ n=150.437056\approx151[/tex] [Rounded to next integer.]
Thus, the number of observations he needs in his sample = 151
He needs 151 observations.
a piece of writing included with others in a newspaper, magazine, or other publication.
Required sample size
: [tex]n=(0.11)(1-0.11)(\frac{1.96}{0.05} )^2\\n=(0.0979)(1536.64)\\n=151.[/tex]
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