8% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 354 randomly selected students who receive financial aid, 74 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 18% at αα = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 18%. The data suggest the populaton proportion is significantly higher than 18% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 18%. The data suggest the population proportion is not significantly higher than 18% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 18%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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18% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 354 randomly selected students who receive financial aid, 74 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance?

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly higher than 18% at αα = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 18%.
    • The data suggest the populaton proportion is significantly higher than 18% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 18%.
    • The data suggest the population proportion is not significantly higher than 18% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 18%.

 

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