Question

Help, please??

One hundred forty-one of the 228 high school students surveyed at a local school say they plan on taking some form of postsecondary education. Calculate the margin of error (ME), rounded to the nearest tenth of a percent. Is it reasonable that the state education department claims the percentage for the entire state is 68%? Justify your answer.


A: No, it is not reasonable because the ME is 3.2% and the population proportion of 68% falls outside the sample interval of 61.8% ± 3.2%
B: Yes, it is reasonable because the ME is 6.4% and the population proportion of 68% falls within the sample interval of 61.8% ± 6.4%
C: No, it is not reasonable because the ME is 6.4% and the population proportion of 63% falls outside the sample interval of 61.8% ± 6.4%
D: Yes, it is reasonable because the ME is 5.6% and the population proportion of 68% falls within the sample interval of 61.8% ± 5.6%

Answer 1

B

Explanation:

I have a TI 84 Plus Ce calculator so this is what I did.

Since no confidence level is stated I went with 95%

Go TO: Stat, Tests, 1-Proportion Z interval and input

x= 141

n=228

c= .95

and i got the interval 61.8 with ME 6.4 and since 68 is in the interval, it is reasonable to claim