Of 50 randomly selected students at Chino Valley they High School, 33 said were

Question

Of 50 randomly selected students at Chino Valley they High School, 33 said were going to vote for Bobby Bunny to be student council president. a. Find a 90% confidence interval for the true proportion of students who will vote for Bobby Bunny. (You should also write a sentence interpret the meaning of your C.I. in the context to of this problem) b. Based on your interval, does it seem reasonable to believe that Bobby will win the election what percentage of the student body would have to support Bobby Bunny in order for hi to win

Explanation / Answer

P - (Z*s), P + (Z*s)

are the confidence intervals.

where ,

s=x(N-x)/N3

where x=33, no of succeses. and N=50

Z   = Standard normal deviate for , ( =0.90)
P = x/N

then , putting the values, we get :

So, the CI = (0.55,0.77)

yes, the sample proportion is 0.66. so its very likely that bob will win

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