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 363 randomly selected students who receive financial aid, 40 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:
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 363 randomly selected students who receive financial aid, 40 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 different from 14% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%.
- The data suggest the populaton proportion is significantly different from 14% at αα = 0.01, 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 αα = 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 14%.
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