A survey of 2304 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 409 have donated blood in the past two years. Complete parts (a) through (c) below. (c) Construct and interpret a \( 90 \% \) confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. There is a \( \square \% \) chance the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between \( \square \) and \( \square \). We are \( \square \% \) confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between \( \square \) and \( \square \).

Determine whether the following statement is true or false. To construct a confidence interval about the mean, the population from which the sample is drawn must be approximately normal. This statement is

What is a scatter plot?

A survey of 2283 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 406 have donated blood in the past two years. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) \( \begin{array}{l}\text { (a) Obtain a point estimate for the population proportion of adults in the country aged } 18 \text { and older who have donated blood in the past two years. } \\ \text { (Round to three decimal places as needed.) }\end{array} \)

Derk Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, \( x \), for the sample size provided. Lower bound \( =0.529 \), upper bound \( =0.831, n=1500 \) The point estimate of the population proportion is 0.68 . (Round to the nearest thousandth as needed.) The margin of error is (Round to the nearest thousandth as needed.)

Ork Explain why the \( t \)-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. A. The \( t \)-distribution has less spread as the degrees of freedom increase because, as \( n \) increases, 2 of 8 posints information is known about \( \sigma, 9.2 .49 \) by the law of large numbers. B. The \( t \)-distribution has less spread as the degrees of freedom increase because, as \( n \) increases, s becomes closer to \( \sigma \) by the law of large numbers. C. The \( t \)-distribution has less spread as the degrees of freedom increase because, for large values of \( n \), \( n \geq 30 \), the \( t \)-distribution and the normal distribution are the sam D. The \( t \)-distribution has less spread as the degrees of freedom increase because the variability introduced into the \( t \)-statistic becomes greater as \( n \) increases.