Pregunta
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the
population proportion was estimated to be 0.23 .
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the
confidence level with an
error of at most 0.03 ? Round your answer up to the next integer.
Answer
How to enter your answer (opens in new window)
population proportion was estimated to be 0.23 .
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the
error of at most 0.03 ? Round your answer up to the next integer.
Answer
How to enter your answer (opens in new window)
Ask by Nguyen John. in the United States
Dec 17,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The required sample size is 1069.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
Mind Expander
To determine the required sample size, we can use the formula for the sample size of proportions:
Where:
-
is the Z-value corresponding to the desired confidence level (for 98%, is approximately 2.33), -
is the estimated population proportion (in this case, 0.23), -
is the margin of error (0.03).
Plugging in the numbers:
Round that up to the next integer, you will need a sample size of 110.
Happy sampling!

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