Justify the use of a normal approximation

Reference no: EM13139163

An opinion poll asks an SRS of 1500 adults, "Do you happen to jog?" Suppose that the population proportion who jog (a parameter) is p = 0.15. To estimate p, we use the proportion p-hat in the sample who answer "Yes." Justify the use of a normal approximation and find the following probabilities.

a) P(p > 0.16)
b) P(0.14 < p < 0.16)

Reference no: EM13139163

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