16% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 313 randomly selected students who receive financial aid, 31 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < ≠ = > (please enter a decimal) H1:H1: ? μ p Select an answer > ≠ = < (Please enter a decimal) The test statistic ? t z = (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 Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 16% at αα = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 16%. The data suggest the populaton proportion is significantly lower than 16% at αα = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 16%. The data suggest the population proportion is not significantly lower than 16% at αα = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 16%.

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Description: 16% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 313 randomly selected students who receive financial aid, 31 of them volunteered their tim

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 10E

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16% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 313 randomly selected students who receive financial aid, 31 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance?

For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
The null and alternative hypotheses would be:

H0:H0: ? p μ Select an answer < ≠ = > (please enter a decimal)

H1:H1: ? μ p Select an answer > ≠ = < (Please enter a decimal)

The test statistic ? t z = (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 Select an answer reject accept fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly lower than 16% at αα = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 16%.
- The data suggest the populaton proportion is significantly lower than 16% at αα = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 16%.
- The data suggest the population proportion is not significantly lower than 16% at αα = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 16%.

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