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Mathematics, 05.05.2021 18:10 khehnai

In a certain school district, it was observed that 24% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 106 out of 368 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=0.01 level of significance. A. What is the hypothesized population proportion for this test?
B. Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion?

C. Calculate the P-value for this sample.

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