Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions \( p_{1} \) and \( p_{2} \) at the level of significance \( \alpha \). Assume that the samples are random and independent. Claim: \( p_{1} \neq p_{2}, \alpha=0.01 \) Sample Statistics: \( x_{1}=32, n_{1}=73, x_{2}=30, n_{2}=83 \) Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution \( n_{1} \bar{q}=\square, n_{2} \bar{p}=\square \), and \( n_{2} \bar{q}=\square \). (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. A. \( H_{0}: p_{1}=p_{2} \) \( H_{a}: p_{1} \neq p_{2} \) B. \( H_{0}: p_{1} \geq p_{2} \) \( H_{a}: p_{1}<p_{2} \) C. \( H_{0}: p_{1} \leq p_{2} \) \( H_{a}: p_{1}>p_{2} \) D. The conditions to use a normal sampling distribution are not met.

What is a scatter plot?

Why is data collection appropriate for this two-sample proportion procedure? Because the order of applying the two treatments to each doctor was randomized in this matched pairs design. Because two separate simple random samples were taken-one from each population. Because the doctors were randomly allocated to the two treatments (aspirin and placebo).

A regression was run to determine if there is a relationship between hours of TV watched per day \( (\mathrm{x}) \) and number of situps a person can do \( (y) \). The results of the regression were: \( \begin{array}{l}\mathrm{y}=\mathrm{ax}+\mathrm{h} \\ \mathrm{a}=2.389 \\ \mathrm{~b}=37.535 \\ \mathrm{r}^{2}=0.412164 \\ \mathrm{r}=-0.642\end{array} \) Use this to predict the number of situps a person who watches 0.5 hours of TV can do (ta one decimal place)

How do you identify the relationship between two variables in a scatter plot?

Baseball regression line prediction: Suppose the regression line for the number of runs scored in a season, \( y \), is given by \( \hat{y}=-730+4300 x \), where \( x \) is the team's batting average. a. For a tearn with a batting average of 0.235 , find the expected number of runs scored in a season. Round your answer to the nearest whole number. b. If we can expect the number of runs scored in a scason is 480 , then what is the assumed team's batting average? Round your onswer to three deeima! places.