The Following Is a 95 % Confidence Interval $0.449 < p < 0.511$

question 3

Essay

The following is a 95 % confidence interval of the proportion of female medical school students: $0.449 < p < 0.511$ based on data from the American Medical Association. What is the point estimate of the proportion of females in the population of medical school students? Write a brief statement that correctly interprets the confidence interval given.

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Definitions:

Hypothesis Testing

The process of making decisions or inferences about a population based on sample data, often involving the use of a statistical test.

Test Statistic

A measure calculated from sample data during a hypothesis test used to determine whether to reject the null hypothesis.

T-Distribution

A probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

Confidence Interval

A set of numerical values, obtained from statistical analysis of a sample, which is expected to encompass the actual value of a parameter from a larger, unspecified population.