14% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 361 randomly selected students who receive financial aid, 72 of them volunteered their time. What can be concluded at the = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? |(Please enter a decimal) Select an answer c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ?a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that... |(Please show your answer to 4 decimal places.) The data suggest the populaton proportion is significantly different from 14% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%. The data suggest the population proportion is not significantly different from 14% at a = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%. The data suggest the population proportion is not significantly different from 14% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%.

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F and G parts only please

## Hypothesis Testing Exercise

### Context

14% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 361 randomly selected students who receive financial aid, 72 of them volunteered their time. What can be concluded at the \( \alpha = 0.10 \) level of significance?

### Questions

a. For this study, we should use [Select an answer]

b. The null and alternative hypotheses would be:

\[
H_0: \, [ \, ? \, ] \, \text{[Select an answer]} \, [ \, \text{(please enter a decimal)} \, ]
\]

\[
H_1: \, [ \, ? \, ] \, \text{[Select an answer]} \, [ \, \text{(Please enter a decimal)} \, ]
\]

c. The test statistic \( ? = \) [Enter your answer to 3 decimal places]

d. The p-value = [Please show your answer to 4 decimal places]

e. The p-value is \( ? \, [ \, \alpha \, ] \)

f. Based on this, we should [Select an answer] the null hypothesis.

g. Thus, the final conclusion is that …

- \( \circ \) The data suggest the population proportion is significantly different from 14% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%.

- \( \circ \) The data suggest the population proportion is not significantly different from 14% at \( \alpha = 0.10 \), so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%.

- \( \circ \) The data suggest the population proportion is not significantly different from 14% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%.

### Instructions

- Complete the blanks with the correct statistical terms and calculations.
- Ensure that all calculations adhere to the specified decimal precision.
Transcribed Image Text:## Hypothesis Testing Exercise ### Context 14% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 361 randomly selected students who receive financial aid, 72 of them volunteered their time. What can be concluded at the \( \alpha = 0.10 \) level of significance? ### Questions a. For this study, we should use [Select an answer] b. The null and alternative hypotheses would be: \[ H_0: \, [ \, ? \, ] \, \text{[Select an answer]} \, [ \, \text{(please enter a decimal)} \, ] \] \[ H_1: \, [ \, ? \, ] \, \text{[Select an answer]} \, [ \, \text{(Please enter a decimal)} \, ] \] c. The test statistic \( ? = \) [Enter your answer to 3 decimal places] d. The p-value = [Please show your answer to 4 decimal places] e. The p-value is \( ? \, [ \, \alpha \, ] \) f. Based on this, we should [Select an answer] the null hypothesis. g. Thus, the final conclusion is that … - \( \circ \) The data suggest the population proportion is significantly different from 14% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%. - \( \circ \) The data suggest the population proportion is not significantly different from 14% at \( \alpha = 0.10 \), so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%. - \( \circ \) The data suggest the population proportion is not significantly different from 14% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%. ### Instructions - Complete the blanks with the correct statistical terms and calculations. - Ensure that all calculations adhere to the specified decimal precision.
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