In a certain school district, it was observed that 35% of the students in the element schools were classified as only children (no siblings).  However, in the special program for talented and gifted children, 152 out of 379 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.What is the hypothesized population proportion for this test?p=p= (Report answer as a decimal accurate to 2 decimal places.  Do not report using the percent symbol.)

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Asked Dec 1, 2019
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In a certain school district, it was observed that 35% of the students in the element schools were classified as only children (no siblings).  However, in the special program for talented and gifted children, 152 out of 379 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.

What is the hypothesized population proportion for this test?
p=p= 
(Report answer as a decimal accurate to 2 decimal places.  Do not report using the percent symbol.)

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Expert Answer

Step 1

It is given that, in a certain school district 35% if the students in the element schools were classified as only children. In the special program for talented and gifted children, 152 out of 379 students are only children.

That is, p 0.35, X=152 andn=379
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That is, p 0.35, X=152 andn=379

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Step 2

The sample proportion ...

х
p=
п
152
379
0.40
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х p= п 152 379 0.40

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