Explore BrainMass

Explore BrainMass

    Confidence Intervals Estimators

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Suppose an SRS of 25,000 Americans were surveyed and 16,000 of them said they have blue colored eyes.

    a) Create a 98% confidence interval estimator for the population proportion of Americans that have blue colored eyes.

    b) What is the minimum sample size that would be required to estimate the population's proportion to within {see attachment} with a 90% confidence? (Note: assume {see attachment})

    © BrainMass Inc. brainmass.com June 3, 2020, 5:30 pm ad1c9bdddf
    https://brainmass.com/statistics/confidence-interval/confidence-intervals-estimators-29219

    Attachments

    Solution Preview

    (a) Here n = 25,000 and x = 16,000. Therefore, p~hat = 16000/25000 = 0.64 and q~hat = 1-p = 0.36
    alpha = 100 - 98 = 2%
    The ...

    Solution Summary

    The confidence interval estimators are examined. The minimum sample sizes for confidence interval are given.

    $2.19

    ADVERTISEMENT