Question

The seniors in two high school classes have been asked about whether they intended to apply to the local state college. The first class has 13 out of 40 students said they would, as did 20 out of 45 students in the second class.

Is this a significant difference?

Set up a test for the difference of the proportions being equal to 0 or not.

Answer #1

from the results in R ,

p value is 0.3655 which is greater than 0.05 (level of significance) .

Therefore we Accept Ho at 5 % level of significance.

We can conclude that there is no significant difference.

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