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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, 107 out of 295 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? 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? O one-tailed test O two-tailed test Choose the correct pair of hypotheses for this situation: Но:р — 0.3 | Но:р — 0.3 | Н:р— 0.3 Ha:p < 0.3 Ha:p+0.3|| Ha:p > 0.3 Но:р 3 0.363| Но:р 3 0.363 | Но:р 3 0.363 (D) (E) (F) H:p< 0.363 Ha:p+0.363 || Ha:p> 0.363 | (A) (B) (C) (A) (B) (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? (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 O accept the null O fail to reject the null O reject the alternative

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, 107 out of 295 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? 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? O one-tailed test O two-tailed test Choose the correct pair of hypotheses for this situation: Но:р — 0.3 | Но:р — 0.3 | Н:р— 0.3 Ha:p < 0.3 Ha:p+0.3|| Ha:p > 0.3 Но:р 3 0.363| Но:р 3 0.363 | Но:р 3 0.363 (D) (E) (F) H:p< 0.363 Ha:p+0.363 || Ha:p> 0.363 | (A) (B) (C) (A) (B) (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? (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 O accept the null O fail to reject the null O reject the alternative

MATLAB: An Introduction with Applications
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 30% of the students in the elementary schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 107 out of 295 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. 1. **What is the hypothesized population proportion for this test?** - \( p = \) __________ - (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) 2. **Based on the statement of this problem, how many tails would this hypothesis test have?** - ○ One-tailed test - ○ Two-tailed test 3. **Choose the correct pair of hypotheses for this situation:** \( \begin{array}{|c|c|c|c|c|c|c|} \hline (A) & (B) & (C) & (D) & (E) & (F) \\ \hline H_0: p = 0.3 & H_0: p = 0.3 & H_0: p = 0.3 & H_0: p = 0.363 & H_0: p = 0.363 & H_0: p = 0.363 \\ H_a: p < 0.3 & H_a: p \neq 0.3 & H_a: p > 0.3 & H_a: p < 0.363 & H_a: p \neq 0.363 & H_a: p > 0.363 \\ \hline \end{array} \) - ○ (A) ○ (B) ○ (C) ○ (D) ○ (E) ○ (F) 4. **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?** - \( z = \) __________ - (Report answer as a decimal accurate to 3 decimal places.) 5. **You are now ready to calculate the P-value for this sample.** - P-value = __________ - (Report answer as
Transcribed Image Text:In a certain school district, it was observed that 30% of the students in the elementary schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 107 out of 295 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. 1. **What is the hypothesized population proportion for this test?** - \( p = \) __________ - (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) 2. **Based on the statement of this problem, how many tails would this hypothesis test have?** - ○ One-tailed test - ○ Two-tailed test 3. **Choose the correct pair of hypotheses for this situation:** \( \begin{array}{|c|c|c|c|c|c|c|} \hline (A) & (B) & (C) & (D) & (E) & (F) \\ \hline H_0: p = 0.3 & H_0: p = 0.3 & H_0: p = 0.3 & H_0: p = 0.363 & H_0: p = 0.363 & H_0: p = 0.363 \\ H_a: p < 0.3 & H_a: p \neq 0.3 & H_a: p > 0.3 & H_a: p < 0.363 & H_a: p \neq 0.363 & H_a: p > 0.363 \\ \hline \end{array} \) - ○ (A) ○ (B) ○ (C) ○ (D) ○ (E) ○ (F) 4. **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?** - \( z = \) __________ - (Report answer as a decimal accurate to 3 decimal places.) 5. **You are now ready to calculate the P-value for this sample.** - P-value = __________ - (Report answer as
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