In a certain school district, it was observed that 28% ofthe students in the element schools were classified asonly children (no siblings). However, in the specialprogram for talented and gifted children, 134 out of392 students are only children. The school districtadministrators want to know if the proportion of onlychildren in the special program is significantly differentfrom the proportion for the school district. Test at thea = 0.01 level of significance.What is the hypothesized population proportion for thistest?(Report answer as a decimal accurate to 2 decimalplaces. Do not report using the percent symbol.)Based on the statement of this problem, how manytails would this hypothesis test have?one-tailed testtwo-tailed testChoose the correct pair of hypotheses for thissituation:(A)(В)(C)Но:р 3 0.28Ha:p < 0.28Но : р — 0.28Ha:p + 0.28Но : р — 0.28На : р > 0.28(D)(E)(F)Но: р 3 0.342Ha:p < 0.342Но: р — 0.342 || Но : р — 0.342Ha:p + 0.342 Ha:p > 0.342(A) (B) (C) (D)Using the normal approximation for the binomialdistribution (without the continuity correction), what isthe test statistic for this sample based on the sampleproportion?(Report answer as a decimal accurate to 3 decimalplaces.)You are now ready to calculate the P-value for thissample.P-value =(Report answer as a decimal accurate to 4 decimalplaces.)This P-value (and test statistic) leads to a decision to...O reject the nullaccept the nullfail to reject the nullreject the alternativeAs such, the final conclusion is that...There is sufficient evidence to warrant rejectionof the assertion that there is a differentproportion of only children in the G&T program.There is not sufficient evidence to warrant

The random variable students who are only children follow normal distribution. We have to test…

In a certain school district, it was observed that 28% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 134 out of 392 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? = d (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) (В) (C) Ho:p = 0.28 Ha:p < 0.28 Ho:p = 0.28 Ha:p + 0.28 Но :р Ha:p > 0.28 0.28 (D) (E) (F) Ho:p = 0.342 Ho:p = 0.342 Ha:p < 0.342 Ha:p+ 0.342 Ha:p > 0.342 Ho:p = 0.342 (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? 2 = (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 O fail to reject the null O 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

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR