Question

The Center for Information and Research on Civic Learning and Engagement (CIRCLE), an independent youth research organization, reported 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

Answer 1

Answer:

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:

$H_o : \mu = 49 \%$ of community college students plan to vote in the next presidential election.

$H_a : \mu > 49\%$  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.