Question 20: In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 125 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=0.01α=0.01 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.) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.3H0:p=0.3 Ha:p<0.3Ha:p<0.3 H0:p=0.3H0:p=0.3 Ha:p≠0.3Ha:p≠0.3 H0:p=0.3H0:p=0.3 Ha:p>0.3Ha:p>0.3 (D) (E) (F) H0:p=0.361H0:p=0.361 Ha:p<0.361Ha:p<0.361 H0:p=0.361H0:p=0.361 Ha:p≠0.361Ha:p≠0.361 H0:p=0.361H0:p=0.361 Ha:p>0.361Ha:p>0.361 (A) (B) (C) (D) (E) (F) 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.) This P-value (and test statistic) leads to a decision to... reject the null accept the null fail to reject the null reject the alternative As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. There is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. The sample data support the assertion that there is a different proportion of only children in the G&T program. There is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the G&T program.

Question 20: In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 125 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=0.01α=0.01 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.) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) H0:p=0.3H0:p=0.3 Ha:p<0.3Ha:p<0.3 H0:p=0.3H0:p=0.3 Ha:p≠0.3Ha:p≠0.3 H0:p=0.3H0:p=0.3 Ha:p>0.3Ha:p>0.3 (D) (E) (F) H0:p=0.361H0:p=0.361 Ha:p<0.361Ha:p<0.361 H0:p=0.361H0:p=0.361 Ha:p≠0.361Ha:p≠0.361 H0:p=0.361H0:p=0.361 Ha:p>0.361Ha:p>0.361 (A) (B) (C) (D) (E) (F) 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.) This P-value (and test statistic) leads to a decision to... reject the null accept the null fail to reject the null reject the alternative As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. There is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. The sample data support the assertion that there is a different proportion of only children in the G&T program. There is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the G&T program.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 7CR

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Question 20:

In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 125 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=0.01α=0.01 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.)

Based on the statement of this problem, how many tails would this hypothesis test have?

one-tailed test
two-tailed test

Choose the correct pair of hypotheses for this situation:

(A)	(B)	(C)	H0:p=0.3H0:p=0.3 Ha:p<0.3Ha:p<0.3	H0:p=0.3H0:p=0.3 Ha:p≠0.3Ha:p≠0.3	H0:p=0.3H0:p=0.3 Ha:p>0.3Ha:p>0.3		(D)	(E)	(F)	H0:p=0.361H0:p=0.361 Ha:p<0.361Ha:p<0.361	H0:p=0.361H0:p=0.361 Ha:p≠0.361Ha:p≠0.361	H0:p=0.361H0:p=0.361 Ha:p>0.361Ha:p>0.361

(A)

(B)

(C)

(D)

(E)

(F)

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.)

This P-value (and test statistic) leads to a decision to...

reject the null
accept the null
fail to reject the null
reject the alternative

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program.
There is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program.
The sample data support the assertion that there is a different proportion of only children in the G&T program.
There is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the G&T program.

In a certain school district, it was observed that 30% of the students in the element schools were classified
as only children (no siblings). However, in the special program for talented and gifted children, 125 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 a = 0.01 level of significance.
What is the hypothesized population proportion for this test?
Р
(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)
Based on the statement of this problem, how many tails would this hypothesis test have?
one-tailed test
two-tailed test
Choose the correct pair of hypotheses for this situation:
(A) (B) (C)
Ho: p=0.3 Ho:p= 0.3
Ha:p<0.3 Ha:p 0.3
Ho:p = 0.3
Ha:p > 0.3
(D) (E) (F)
(F)
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?
(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.)
This P-value (and test statistic) leads to a decision to...
O reject the null
accept the null
fail to reject the null
O reject the alternative
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the assertion that there is a different proportion
of only children in the G&T program.
O There is not sufficient evidence to warrant rejection of the assertion that there is a different
proportion of only children in the G&T program.
The sample data support the assertion that there is a different proportion of only children in the
G&T program.
O There is not sufficient sample evidence to support the assertion that there is a different proportion
of only children in the G&T program.
Ho: p = 0.361 Ho:p = 0.361 Ho:p= 0.361
Ha:p < 0.361 Ha:p 0.361 Ha:p> 0.361

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