A researcher wishes to estimate, with 95\% confidence, the population proportion of likely U.S. voters who think Congress is doing a good or excellent job. Her estima must be accurate within \( 3 \% \) of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that \( 42 \% \) of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? \( \mathrm{n}=\square \) (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that \( 42 \% \) of the respondents said they think Congress is doing a good or excellent job? \( n=\square \) (Round up to the nearest whole number as needed.) (c) How do the results from (a) and (b) compare? A. Having an estimate of the population proportion reduces the minimum sample size needed. B. Having an estimate of the population proportion has no effect on the minimum sample size needed. C. Having an estimate of the population proportion raises the minimum sample size needed.

16. Bob made a picture graph of the marbles he and his friends have. How many more marbles does Bob have than Kayla? Explain ho you found the answer.

Nance Layla Maizonet \#1 Which of the following correlation coefficients indicates the strongest relationship between two variables? a. -0.535 b. -0.534 c. 0.418 d. -0.816 \#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was 0.017 , what can be said about these results?

\#7 A set of data has correlation coefficient \( r \). For which value of \( r \) would the average magnitude of the residuals be the smallest? a. \( r=-0.034 \) b. \( r=0.472 \) c. \( r=0.908 \) d. \( r=0.952 \)

3 Get a similar questlon You can retry this question below A sample of size \( n=10 \) is drawn from a population. The data is shown below. \( \begin{array}{lllll}102.8 & 115.4 & 98.2 & 96.2 & 93.3 \\ 115.4 & 81.8 & 76.1 & 115.4 & 88.9\end{array} \) What is the range of this data set? range \( =\begin{array}{ll}39.3\end{array} \) What is the standard deviation of this data set? (Round to 2 decimal places) stdev \( =16.03 \)

\#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was -0.017 , what can be said about these results? a. As the number of hours spent studying increases, student exam performances will likely not change. b. As the number of hours spent studying inrceases, student exam performances will probably increase. c. As the number of hours spent studying increases, student exam performances will probably decrease. d. There is little evidence of a linear relationship between the number of hours spent studying and student exam performances.