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12% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 381 randomly selected students who receive financial aid, 34 of them volunteered their time. What can be concluded at the a= 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁: ?✔ Select an answer ✓ c. The test statistic d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population proportion is not significantly lower than 12% at a = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%. O The data suggest the population proportion is not significantly lower than 12% at a = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%. O The data suggest the populaton proportion is significantly lower than 12% at a = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%.

12% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 381 randomly selected students who receive financial aid, 34 of them volunteered their time. What can be concluded at the a= 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁: ?✔ Select an answer ✓ c. The test statistic d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population proportion is not significantly lower than 12% at a = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%. O The data suggest the population proportion is not significantly lower than 12% at a = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%. O The data suggest the populaton proportion is significantly lower than 12% at a = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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12% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 381 randomly selected students who receive financial aid, 34 of them volunteered their time. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: ✓ Select an answer ?✓ Select an answer ✓ c. The test statistic ? ✓ = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value= e. The p-value is ? ✓ α f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly lower than 12% at a = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%. The data suggest the population proportion is not significantly lower than 12% at x = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%. O The data suggest the populaton proportion is significantly lower than 12% at a = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%.
Transcribed Image Text:12% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 381 randomly selected students who receive financial aid, 34 of them volunteered their time. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: ✓ Select an answer ?✓ Select an answer ✓ c. The test statistic ? ✓ = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value= e. The p-value is ? ✓ α f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly lower than 12% at a = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%. The data suggest the population proportion is not significantly lower than 12% at x = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%. O The data suggest the populaton proportion is significantly lower than 12% at a = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 12%.
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What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 8 randomly selected games are shown below. Attendance Runs 43 13 43 8 4 33 7 9 9 9 12 49 52 55 32 6 a. Find the correlation coefficient: r = 0.85 b. The null and alternative hypotheses for correlation are: Ho: p✓ ✓ = 0 H₁: P The p-value is: 0.0075 #00⁰0⁰ Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. O There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) d. r² = 0.73 e. Interpret ²: ⒸThere is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O 73% of all games will have the average number of runs scored. O Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. 0° f. The equation of the linear regression line is: y = |2.02 X+ 0.15 (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 37,000 people. Runs scored = 37000 x (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O As x goes up, y goes up. For every additional thousand people who attend a game, there tends to be an average increase of 0.15 runs scored. O The slope has no practical meaning since the total number runs scored in a game must be positive.
Transcribed Image Text:What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 8 randomly selected games are shown below. Attendance Runs 43 13 43 8 4 33 7 9 9 9 12 49 52 55 32 6 a. Find the correlation coefficient: r = 0.85 b. The null and alternative hypotheses for correlation are: Ho: p✓ ✓ = 0 H₁: P The p-value is: 0.0075 #00⁰0⁰ Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. O There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) d. r² = 0.73 e. Interpret ²: ⒸThere is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O 73% of all games will have the average number of runs scored. O Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. 0° f. The equation of the linear regression line is: y = |2.02 X+ 0.15 (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 37,000 people. Runs scored = 37000 x (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O As x goes up, y goes up. For every additional thousand people who attend a game, there tends to be an average increase of 0.15 runs scored. O The slope has no practical meaning since the total number runs scored in a game must be positive.
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