The critical values ( \( z_{\text {crit }} \) ) for the z-test are \( \pm 1.96 \) for \( a=.05 \) in a two-tailed distribution. The obtained calculated \( z \)-test statistic for the sample data is \( z=-1,0 \). The correct statistical decision is: reject the null (HO). reject the alternative (H1). accept the alternative (H1)

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.

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.)

The grades on the second statistics test for Mrs. Sweeney's class are in the following list. Find the frequency distribution for the grades. \[ \text { D, F, B, D, A, F, F, B, F, F, B, C, C, C, B, F, C, A, B B, B F } \] Answer

The grades on the second statistics test for Mrs. Sweeney's class are in the following list. Find the frequency distribution for the grades, \[ \text { D, F, B, D, A, F, F, B, F, F, B, C, C, C, B, F, C, A, B, B, F } \]

Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 21 , upper bound is 29 . The point estimate of the population mean is 1