II. (Valor \( 35 \% \) ) El puntaje promedio de ciertos estudiantes en una prueba de aptitud es de 72 puntos con una varianza de 36 puntos. coual es la probabilidad de que dos grupos de 28 y 36 estudiantes, respectivamente, difieran en sus puntajes promedio por

Question 2 ( 0.25 points) Retake question Choose the correct interpretation of a p-value. If the test is right-tailed, the \( p \)-value is the probability of observing a sample proportion as small as we saw in our sample, if the null hypothesis were true. If the test is right-tailed, the \( p \)-value is the probability of observing a sample proportion as large as we saw in our sample, if the null hypothesis were true. If the test is right-tailed, the \( p \)-value is the probability of observing a sample proportion as large as we saw in our sample. If the test is two-tailed, the \( p \)-value is the probability of observing a sample proportion as far away from the null value as what was observed in the current data set.

Use this set of numbers to answer the question. \( \begin{array}{l}4,11,6,9,23,34,6,19 \\ \text { What is the median for this set of numbers? } \\ \text { A. } 6 \\ \text { B. } 10 \\ \text { D. } 14 \\ \text { D. } 16\end{array} \)

Josie is organizing her ribbons for a craft project. The list shows the length of each of her ribbons. \( 21.5 \mathrm{~cm}, 12.4 \mathrm{~cm}, 30.4 \mathrm{~cm}, 15.3 \mathrm{~cm}, 10.7 \mathrm{~cm}, 7.9 \mathrm{~cm}, 14.6 \mathrm{~cm}, 11.2 \mathrm{~cm} \) What is the median ribbon length? A. 12.4 cm B. 13.0 cm C. 13.5 cm D. 14.6 cm E. 15.5 cm

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that \( 30 \% \) of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 76 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3 . You use a significance level of \( \alpha=0.002 \). What is the test statistic for this sample? Use \( \hat{p} \) rounded to 4 decimal places. (Report answer accurate to 4 decimal places.) test statistic \( =-3.198^{\circ} \times \)

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January \( 31,2006,9 \) of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that \( 30 \% \) of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 76 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3 . You use a significance level of \( \alpha=\ldots 2 \). What is the test statistic for this sample? Use \( \hat{p} \) rounded to 4 decimal places. (Report answer accurate to 4 decimal places.) test statistic =