Which of the following statements about correlation is true? Choose the correct answer below. A. We say that there is a positive correlation between \( x \) and \( y \) if there is no distinct pattern in the scatterplot. B. We say that there is a positive correlation between \( x \) and \( y \) if the \( x \)-values increase as the corresponding \( y \)-values decrease. D. We say that there is a positive correlation between \( x \) and \( y \) if the \( x \)-values increase as the corresponding \( y \)-values increase. (ingative correlation between \( x \) and \( y \) if the \( x \)-values increase as the corresponding \( y \)-values increase.

Propecties of Binomal Dost \( X \sim B(n, p) \) \( P\left(X=x_{1}\right)=\binom{n}{x} p^{x}(1-p)^{n x} \)

What is a scatter plot?

Reading proficiency: An educator wants to construct a \( 99.8 \% \) confidence interval for the proportion of elementary school children in Colorado who are proficient in reading. Part: \( \mathbf{0} / \mathbf{3} \) Part 1 of 3 (a) The results of a recent statewide test suggested that the proportion is 0.71 . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.05 ? A sample of \( \square \) elementary school children is needed to obtain a \( 99.8 \% \) confidence interval with a margin of error of 0.05 .

전구를 만드는 A 공장에서 400 개의 전구를 임의로 추출하여 전구의 수명을 조사한 결과 평균이 500 시간이고 표준편차가 40 시간이었을 때, 이 공장 전구의 평균 수명 \( m \) 에 대한 신뢰도 \( 95 \% \) 의 신뢰구간을 구하여라.

Question 13 of 25 To test whether a special soap works as advertised, Bob has 5 people wash their hands with the soap and 5 people wash their hands with regular soap. The people who washed with the special soap have cleaner hands, so Bob says that the soap works. What is Bob doing? A. Making an inference B. Gathering data C. Drawing a conclusion D. Making a hypothesis