In a certain school district, it was observed that 34% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 103 out of 239 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=0.02α=0.02 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.) Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.34H0:p=0.34 Ha:p<0.34Ha:p<0.34 H0:p=0.34H0:p=0.34 Ha:p≠0.34Ha:p≠0.34 H0:p=0.34H0:p=0.34 Ha:p>0.34Ha:p>0.34 (D) (E) (F) H0:p=0.431H0:p=0.431 Ha:p<0.431Ha:p<0.431 H0:p=0.431H0:p=0.431 Ha:p≠0.431Ha:p≠0.431 H0:p=0.431H0:p=0.431 Ha:p>0.431Ha:p>0.431 (A) (B) (C) (D) (E) (F) 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? 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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Description: In a certain school district, it was observed that 34% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 103 out of 239 students are only children

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a certain school district, it was observed that 34% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 103 out of 239 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=0.02α=0.02 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.)

Choose the correct pair of hypotheses for this situation:

(A)	(B)	(C)
H0:p=0.34H0:p=0.34 Ha:p<0.34Ha:p<0.34	H0:p=0.34H0:p=0.34 Ha:p≠0.34Ha:p≠0.34	H0:p=0.34H0:p=0.34 Ha:p>0.34Ha:p>0.34

(D)	(E)	(F)
H0:p=0.431H0:p=0.431 Ha:p<0.431Ha:p<0.431	H0:p=0.431H0:p=0.431 Ha:p≠0.431Ha:p≠0.431	H0:p=0.431H0:p=0.431 Ha:p>0.431Ha:p>0.431

(A)

(B)

(C)

(D)

(E)

(F)

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?
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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