In 1992 a national vital statistics report indicated that about 2.3% of all births produced twins. Is the rate of twin birthsthe same among very young mothers? Data from a large city hospital found only 7 sets of twins were born to 455teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions andconditions are satisfied before you proceed.Are the assumptions and the conditions to perform a one-proportion z-test met?...NoYesState the null and alternative hypotheses. Choose the correct answer below.A. Ho: p=0.023HA: P >0.023B. Ho: p=0.023HA: P = 0.023C. Ho: p=0.023HA: P<0.023D. The assumptions and conditions are not met, so the test cannot proceed.Determine the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete yourchoice.OA. Z=(Round to two decimal places as needed.)OB. The assumptions and conditions are not met, so the test cannot proceed. Census data for a certain county show that 17% of the adult residents are Hispanic. Suppose 74 people are called forjury duty and only 10 of them are Hispanic. Does this apparent underrepresentation of Hispanics call into question thefairness of the jury selection system? Explain.Write appropriate hypotheses.Ho: p= 17%HA: P < 17%The test statistic is z =(Round to two decimal places as needed.)

Solution: Given information: n= 455 Sample size x =7 successes p^=xn=7455=0.0154 Sample proportion…

Answered: In 1992 a national vital statistics…

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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You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 99% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.22. Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = households
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 99% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = ? households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.195 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = ? households
Based on information from a large insurance company, 66% of all damage liability claims are made by single people under the age of 25. A random sample of 51 claims showed that 43 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? Give the test statistic and your conclusion.
The federal government would like to test the hypothesis that the average age of men filing for Social Security is smaller than the average age of women. Select the correct hypotheses.
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 98% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = ___ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.235p^=0.235 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = ___ households
A researcher believes that children who attend elementary school in a rural setting have lower obesity rates then children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who are clinically obese. The data is summarized in the table below. Assume that all conditions for proceeding with a two-sample test have been met. Find the z-statistic (rounded to the nearest hundredth) and p-value (rounded to the nearest thousandth) for this hypothesis test. Using a 5% significance level, state the correct conclusion regarding the null hypothesis H0: prural = purban. a) z = -1.95, p = 0.026. There is sufficient evidence to reject the null hypothesis. b) z = -1.85, p = 0.032. There is sufficient evidence to accept the null hypothesis. c) z = -1.95, p = 0.026. There is not sufficient evidence to reject the null hypothesis. d) z =1.95, p = 0.026. There is sufficient evidence to…
Suppose you are asked to toss a coin 16 times and calculate the proportion of the tosses that were heads. a. What shape would you expect this histogram to be and why? b. Where you do expect the histogram to be centered? c. How much variability would you expect among these proportions? d. Explain why a Normal model should not be used here.
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 80% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = _____households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.2p^=0.2 . Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = _____households
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You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 80% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ___ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.235p^=0.235 . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households
True/false: Some researchers have suggested that blood pressure may tend to be higher on average when measured on a subject's right arm than on their left arm. A doctor decided to investigate this conjecture by taking readings of the systolic blood pressure on both arms of a random selection of twelve patients at his practice. A paired samples t-test can be applied.
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p= 0.23. Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households Question Help: Video Message instructor Submit Question

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