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lexybellx3
31.07.2019 •
Mathematics
Asimple random sample of 800 individuals provides 100 yes responses. a. what is the point estimate of the proportion of the population that would provide yes responses (to 2 decimals)? b. what is your estimate of the standard error of the proportion (to 4 decimals)? c. compute the 95% confidence interval for the population proportion (to 4 decimals). ( , )
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Ответ:
a) 0.13
b)![(0.1067,\ 0.1533)](/tpl/images/0155/1098/d5915.png)
Step-by-step explanation:
The confidence interval for population proportion is given by :-
Given : Sample size : n= 800
Number of individuals provides Yes responses = 100
a) The proportion of individuals provides Yes responses =![p=\dfrac{100}{800}=0.125\approx0.13](/tpl/images/0155/1098/9bc36.png)
hence, the the point estimate of the proportion of the population that would provide Yes responses :![p=0.13](/tpl/images/0155/1098/cd02e.png)
Significance level :![\alpha= 1-0.95=0.05](/tpl/images/0155/1098/2956a.png)
Critical value :![z_{\alpha/2}=1.96](/tpl/images/0155/1098/6c626.png)
Now, the 90% two-sided confidence interval on the proportion of people who regularly have a dental checkup will be :-
Ответ:
B
Step-by-step explanation: