Health Fitness Statistics

Statistics for long response questions (Part 5 of 6)?

Hello everyone, I have some questions to answer long-statistics for a mission and wondered if anyone wanted to help. This is part 5 of 6. For full marks, you must show all your work, including graphs / diagrams and hypothesis tests should use all five steps of hypothesis testing. 6 (5). A research firm wishes to conduct a survey to determine the extent to which employers promote health and fitness of employees. It asked the question "Does your company on-site exercise classes?" On the basis of evidence historically, it is believed that 40% of companies could answer "Yes". What sample size should be to ensure the 99% confidence on the results and to be within 0.03 of the actual proportion of the population?

large confidence intervals of the sample are used to find a region in which we are 100 (1-α)% confident the true value of the parameter is in the interval. For large confidence intervals for the proportion of the sample in this situation is: phat ± z * sqrt ((phat * (1-phat)) / N), where Phat is the sample proportion z is the zscore for having α% of the data in the queues, ie P (| Z |> z) = n α is the sample size here we are only interested in term of error and interval width. z * sqrt ((phat * (1-phat)) / n) n = w = phat * (1 – Phat) (w / z) ^ -2 z-score for a 99% confidence is z = 2.58 n = 0.4 * (1 — 0.4) * (0.03 / 2.58) ^ -2 n = 1775.04 n must be an integer value. always be the ceiling for the size of the range is correct. n = 1776

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