In a certain school district, it was observed that 31% of the students in the element schools were classifiedas only children (no siblings). However, in the special program for talented and gifted children, 129 out of344 students are only children. The school district administrators want to know if the proportion of onlychildren in the special program is significantly different from the proportion for the school district. Test atthe a = 0.02 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.) Using the normal approximation for the binomial distribution (without the continuity correction), was is thetest statistic for this sample based on the sample proportion?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.)

Answered: Image /qna-images/answer/c085e119-9093-4b4c-930c-462101f0989c.jpg

Answered: In a certain school district, it was…

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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Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,
Suppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?
According to a survey, 7 out of 100 children have food allergies. We want to test the claim that more than 4% of children have food allergies, using a significance level 0.05.
A survey of 2255 randomly selected US adults found that 51% said they know all or most of their neighbors. Does this provide evidence that more than half of US adults know most or all of their neighbors? Use 5% significance level.
USA Today ran a report about a UNC poll of 1248 adults from the southern U.S. It was reported that 8% of those surveyed believe that Elvis Presley still lives. The article began with the claim that "almost 1 out of 10" Southerners still thinks Elvis is alive. At the 0.01 significance level, test the claim that the true percentage is 10%.
In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 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 =0.34 (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: (C) (В) (A) Ho: p 0.29 Ho:p 0.29 Ho:p 0.29 H p 0.349 Ha p (F) (E) 0.349 (A) (B) (C) (D) (E) (F) N a e W
A health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?
Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 22%. Use a 0.01 significance level to test that claim.
The admisnistrators of Rowan university wants to know more about the knowledge of students regarding international events. They are concerned that their students are uninformed with regards to the news from other countries. When a standardized test is used to assess the knowledge of all students at al US universities about world events, it is reported that the national mean. A sample of 35 students from Rowan university are tested and the sample mean is 58 and the standard error is 3.2. The 99 percent confidence interval of population mean knowledge of the students at Rowan university has to be determined. 8. The variance of the national accounting examination score is 900. We want to estimate the sample mean score within 5 points of the population mean score with 99% confidence. The sample size of examinees that will be surveyed to meet these conditions is?

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