19% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 343 randomly selected students who receive financial aid, 48 of them volunteered their time. What can be concluded at the αα = 0.01 level of significance? For this study, we should use     The null and alternative hypotheses would be:  H0:H0:             (please enter a decimal)  H1:H1:             (Please enter a decimal) 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 lower than 19% at αα = 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 19%. The data suggest the populaton proportion is significantly lower than 19% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 19%. The data suggest the population proportion is not significantly lower than 19% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 19%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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19% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 343 randomly selected students who receive financial aid, 48 of them volunteered their time. What can be concluded at the αα = 0.01 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 H0:H0:             (please enter a decimal)   

 H1:H1:             (Please enter a decimal)

  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 lower than 19% at αα = 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 19%.
    • The data suggest the populaton proportion is significantly lower than 19% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 19%.
    • The data suggest the population proportion is not significantly lower than 19% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 19%.
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