Suppose medical researchers think that p = 0.70 is the proportion of all teenagers with high blood pressure whose blood pressure would decrease if they took calcium supplements. To test this theory, the researchers plan a clinical trial (experiment) in which n = 230 teenagers with high blood pressure will take regular calcium supplements. (a) Assume that p = 0.70 actually is the population proportion that would experience a decrease in blood pressure. What are the numerical values of the mean and standard deviation of the sampling distribution of p̂, the sample proportion, for samples of n = 230 teenagers? (Round your standard deviation to four decimal places.) mean standard deviation (b) Use the results of part (a) and the Empirical Rule to calculate an interval that will contain the sample proportion p̂ for about 99.7% of all samples of n = 230 teenagers. (Round your answers to three decimal places.) between________ and___________ (c) In the clinical trial, 120 of the 230 teenagers taking calcium supplements experienced a decrease in blood pressure. What is the value of p̂ for this sample? p̂ =

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.