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    Upper bound or limit of the confidence interval

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    The superintendent of a unified school district of a small town wants to make sure that no more than 5% of the students skip more than 10 days of school in a year. A random sample of 145 students from a population of 800 showed that 12 students skipped more than 10 days of school last year. What is the upper bound or limit of the 95% confidence interval for the proportion of students who skipped more than 10 days of school last year
    A) .1978
    B) .1168
    C) .1231
    D) .1268

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    Solution Preview

    Upper bound will be given as
    Sample Proportion (p) + 1.645*Sqrt(p*(1-p)/n)
    = 12/145 + ...

    Solution Summary

    This solution is comprised of a detailed explanation for confidence interval for proportion using hand calculation to find out the correct answer. In this solution, step-by-step explanation of this complicated topic provides students with a clear perspective of 95% confidence interval for proportion with the help of calculations. Formulas are added in word file for better understanding and interpretation is given at the end of question.