The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, ?̂, such that 5% of samples of 225 United States adults age 18–24 are greater than ?̂. You may find a ?-table useful. Give your answer precise to three decimal places.

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