5. En una muestra al azar de 600 mujeres, 300 indican que están a favor de los bonos estudiantiles. Determinar un intervalo de confianza del \( 90 \% \) para la proporción de mujeres que favorecen esta ayuda.

Coffee consumption has been found to be negatively correlated with amount of sleep, with a correlation coefficient of 0.5 . How much can the coffee consumption account for the variance of amount of sleep? \( 0.5 \% \) \( 50 \% \) \( 0.25 \% \) \( 25 \% \)

The first step involved in calculating the Pearson correlation coefficient is to sum all the scores square all the scores calculate the standard deviation for each variable

\begin{tabular}{l} In a re-analysis of published studies, Twenge and Im (2007) found that for the \\ time period 1958-2001, the need for social approval of people in the United \\ States was negatively correlated with the U.S. divorce rate during the same \\ period (the correlation coefficient was -0.38). This correlation means that _- \\ divorce rates were high when the need for social approval was high \\ the need for social approval spurred people to divorce \\ the need for social approval prevented people from seeking divorce \\ divorce rates were low when the need for social approval was high \\ \hline\end{tabular}

If all the points on a scatterplot fall on a single line, then the relation between the variables is weak the variables are causally related the relation between the variables is perfect there is no relation between the variables

In a hypothesis test for the Pearson correlation coefficient, the null hypothesis is rejected when \( r=0 \) \( r<\alpha \) \( p<\alpha \) \( p=0 \)