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Eric wants to estimate the percentage of elementary school children who have a social media account....

Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary school children and finds that 280 have a social media account. Identify the values needed to calculate a confidence interval at the 99% confidence level. Then find the confidence interval. z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Solutions

Expert Solution

GIVEN:

Sample size of elementary school children

Number of school children who have a social media account

FORMULA USED:

The formula for 99% confidence interval for population proportion is given by,

where is the sample proportion, n is the sample size , is the two tailed z critical value at 99% confidence level.

CRITICAL VALUE:

The two tailed z critical value needed to calculate confidence interval at 99% confidence level is .

CALCULATION:

The sample proportion of school children who have a social media account is,

  

Now the 99% confidence interval for population proportion of school children who have a social media account is,

     

Thus the 99% confidence interval for population proportion of school children who have a social media account is .

milcah answered 5 days ago
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