In a certain school district, it was observed that 24% of the students were classified as only children (only siblings). However, in the special program for talented and gifted children, 80 out of 286...

In a certain school district, it was observed that 24% of the students were classified as only children (only siblings).

However, in the special program for talented and gifted children, 80 out of 286 are only children.

The school administrators want to know if the proportion of only the children in the special program is significantly different from the proportion for the school district.

Test at the a = 0.02 level of significance.

c. Hypotheses for this situation

Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for the sample based on the sample proportion?

z =

To 3 decimal places

P-value =

To 4 decimal places