The Center for Information and Research on Civic Learning and Engagement (CIRCLE), an independent youth research organization, r
eported that 49% of all U.S. adults age 18 to 29 voted in the 2012 presidential election. We believe that a higher proportion of community college students plan to vote in the 2016 presidential election. H0: 49% of community college students plan to vote in the next presidential election. Ha: More than 49% of community college students plan to vote in the next presidential election. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is approximately 0.01. At a significance level of 0.05, what can we conclude
The evidence suggests that more than 49% of community colleges students plan to vote in the next presidential election because the p-value is less than the significance level.
Step-by-step explanation:
Given that:
The null hypothesis is:
of community college students plan to vote in the next presidential election.
of community college students plan to vote in the next presidential election.
sample size = 650
sample proportion = 0.54
P-value = 0.01
Level of significance = 0.05
Decision Rule: To reject the null hypothesis if the p-value is lesser than the level of significance.
Conclusion: We reject the null hypothesis and conclude that the evidence suggests that more than 49% of community colleges students plan to vote in the next presidential election because the p-value is less than the significance level.
