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, 130 out of 373 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=0.05 level of significance.What is the hypothesized population proportion for this test?

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Asked Nov 25, 2019
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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, 130 out of 373 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=0.05 level of significance.

What is the hypothesized population proportion for this test?

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Expert Answer

Step 1

The provided information is:

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Sample size (n373 Hypothesized (p)= 0.29

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Step 2

To calculate the test statistic, using z-proportion test:

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'Number of selected children for talented and gifted Sample proportion (p Total number of students 130 373 =0.3485 20.35

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Step 3

The test can be cal...

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p-p p(1-p) Z = п 0.35-0.29 0.29 (1-0.29) 373 2.5537 Thus, the test value is 2.5537.

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