Percentage of college students

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20% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 378 randomly selected students who receive financial aid, 64 of them volunteered their time. What can be concluded at the α= 0.10 level of significance?

a.) for this study should we use the t-test or z-test?

b.) The null and alternative hypotheses would be:

H0:____ ____ ____ enter as decimal

H1:____ ____ ____ enter as decimal

c.) The test statistic______=_____ to 3 decimal places

d.) the p-value=______ to 4 decimal places

E.) The p-value is_____ α

f.) based on this should we reject, accept or fail to reject the null hypothesis?

g.) Thus, the final conclusion is that ...

1.) The data suggest the population proportion is not significantly lower than 20% at α = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 20%.

2.) The data suggest the population proportion is not significantly lower than 20% at α = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 20%.

3.) The data suggest the populaton proportion is significantly lower than 20% at α = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 20%.

Reference no: EM132340532

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