In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings).  However, in the special program for talented and gifted children, 122 out of 346 students are only children.  The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05α=0.05 level of significance. Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion? z=z=  (Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value =  (Report answer as a decimal accurate to 4 decimal places.)

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.