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

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.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3