In a certain school district, it was observed that 27% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 115 out of 347 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 = 0.05 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 Otwo-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) Ho:p= 0.27 H:p < 0.27 Ho:p = 0.27| Ho:p 0.27 Ha:p+ 0.27 H:p> 0.27 (D) (E) (F) Ho:p 0.331| Ho:p 0.331 H:p = 0.331 H:p < 0.331| H.:p+ 0.331 H:p> 0.331 (A) (B) (C) (D) (E) (F) O O O O O O 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? (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... Oreject the null Oaccept the null Ofail to reject the null Oreject the alternative As such, the final conclusion is that... OThere is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. OThere is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. OThe sample data support the assertion that there is a different proportion of only children in the G&T program. OThere 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 27% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 115 out of 347 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 = 0.05 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 Otwo-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) Ho:p= 0.27 H:p < 0.27 Ho:p = 0.27| Ho:p 0.27 Ha:p+ 0.27 H:p> 0.27 (D) (E) (F) Ho:p 0.331| Ho:p 0.331 H:p = 0.331 H:p < 0.331| H.:p+ 0.331 H:p> 0.331 (A) (B) (C) (D) (E) (F) O O O O O O 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? (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... Oreject the null Oaccept the null Ofail to reject the null Oreject the alternative As such, the final conclusion is that... OThere is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. OThere is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program. OThe sample data support the assertion that there is a different proportion of only children in the G&T program. OThere is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the G&T program.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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