we are 95% confident that 17 % of the cell phone o unsolicited advertising text

Question

we are 95% confident that 17 % of the cell phone o unsolicited advertising text messages. wners sampled said that they have received . Suppose we look at every possible sample of size 100 from a population and calculate the corresponding sample proportion and then the corresponding confidence interval for p. Which one of the following statements is true? About 95% of all 90% confidence intervals will not contain the population proportion About 32% of all 68% confidence intervals will contain the population proportion About 32% of all 68% confidence intervals will not contain the populationproportion About 5% ofall 95% confidence intervals will contain the population proportion. -

Explanation / Answer

If we take every possible sample of size 100 and calulate sample proportions, then our sample proportion will form normal distribution around true population proportion p.

Then if we calculate all possible 95% confidence interval, we can say that 5% of them will have the population proportion

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