14% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 362 randomly selected students who receive financial aid, 36 of them volunteered their time. What can be concluded at the � = 0.05 level of significance? Use the p-value approach.For this study, we should use z-test for a population proportion or t-test for a population meanThe null and alternative hypotheses would be: �0: (p or u) (please enter a decimal) �1: (p or u) (Please enter a decimal)The test statistic (z or t) = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ( > or < with line) �Based on this, we should (accept or reject or fail to reject) the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton proportion is significantly lower than 14% at � = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 14%.The data suggest the population proportion is not significantly lower than 14% at � = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%.The data suggest the population proportion is not significantly lower than 14% at � = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 14%. 14% of all college students volunteer their time. Is the percentage ofcollege students who are volunteers smaller for students receivingfinancial aid? Of the 362 randomly selected students who receivefinancial aid, 36 of them volunteered their time. What can beconcluded at the α = 0.05 level of significance? Use the p-valueapproach.a. For this study, we should use [t-test for a population meanb. The null and alternative hypotheses would be:Ho ? Select an answer:decimal)H₁: ?decimal)Select an answerc. The test statistic ? ✓ =answer to 3 decimal places.)d. The p-value =(please enter a(Please enter a(please show your(Please show your answer to 4decimal places.)e. The p-value is ≤ vaf. Based on this, we should [Select an answer the nullhypothesis.g. Thus, the final conclusion is that ...O The data suggest the populaton proportion issignificantly lower than 14% at a = 0.05, so there issufficient evidence to conclude that the percentage offinancial aid recipients who volunteer is lower than 14%.O The data suggest the population proportion is notsignificantly lower than 14% at a = 0.05, so there issufficient evidence to conclude that the percentage offinancial aid recipients who volunteer is equal to 14%.O The data suggest the population proportion is notsignificantly lower than 14% at a = 0.05, so there isinsufficient evidence to conclude that the percentage offinancial aid recipients who volunteer is lower than 14%.

Sample size n =362 Favorable cases x =36 Sample proportion p^=x/n =36/362 =0.0994 NOTE:- According…

Answered: 14% of all college students volunteer…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

14% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 362 randomly selected students who receive financial aid, 36 of them volunteered their time. What can be concluded at the � = 0.05 level of significance? Use the p-value approach.

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

�0: (p or u) (please enter a decimal)

�1: (p or u) (Please enter a decimal)

The test statistic (z or t) = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ( > or < with line) �
Based on this, we should (accept or reject or fail to reject) the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton proportion is significantly lower than 14% at � = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 14%.
- The data suggest the population proportion is not significantly lower than 14% at � = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%.
- The data suggest the population proportion is not significantly lower than 14% at � = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 14%.

14% of all college students volunteer their time. Is the percentage of
college students who are volunteers smaller for students receiving
financial aid? Of the 362 randomly selected students who receive
financial aid, 36 of them volunteered their time. What can be
concluded at the α = 0.05 level of significance? Use the p-value
approach.
a. For this study, we should use [t-test for a population mean
b. The null and alternative hypotheses would be:
Ho ? Select an answer
:
decimal)
H₁: ?
decimal)
Select an answer
c. The test statistic ? ✓ =
answer to 3 decimal places.)
d. The p-value =
(please enter a
(Please enter a
(please show your
(Please show your answer to 4
decimal places.)
e. The p-value is ≤ va
f. Based on this, we should [Select an answer the null
hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton proportion is
significantly lower than 14% at a = 0.05, so there is
sufficient evidence to conclude that the percentage of
financial aid recipients who volunteer is lower than 14%.
O The data suggest the population proportion is not
significantly lower than 14% at a = 0.05, so there is
sufficient evidence to conclude that the percentage of
financial aid recipients who volunteer is equal to 14%.
O The data suggest the population proportion is not
significantly lower than 14% at a = 0.05, so there is
insufficient evidence to conclude that the percentage of
financial aid recipients who volunteer is lower than 14%.

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