In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 450 females aged 15 and older and finds that 264 are living alone.there sufficient evidence at the oa3D0.05 level of significance to conclude the proportion has changed?wwww.wBecause npo (1- po)(Round to one decimal place as needed.)10, the sample size is5% of the population size, and the samplea random sample, all of the requirements for testing the hypothesissatisfied.Identify the null and alternative hypotheses for this test.Ho:(Type integers or decimals. Do not round.)versus H:Find the test statistic for this hypothesis test.zo =D(Round to two decimal places as needed.)Determine the P-value for this hypothesis test.P-value =(Round to three decimal places as needed.)State the conclusion for this hypothesis test.Since the P-value isthan a,Ho. Theresufficient evidence at the a=level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed.(Type an integer or a decimal. Do not round.)StatcrunchNext8:01SAMSUNGesc%23$&12467backspace8tabe*00口85#3 Three years ago, the mean price of an existing single-family home was $243,758. A real estate broker believes that existing home prices in her neighborhood are lower.(a) State the null and alternative hypotheses in words.(b) State the null and alternative hypotheses symbolically.(c) Explain what it would mean to make a Type l error.(d) Explain what it would mean to make a Type II error.OC. The mean price of a single family home in the broker's neighborhood is different from $243,758.O D. The mean price of a single family home in the broker's neighborhood is $243,758.(b) State the hypotheses symbolically.Ho:$4$4H1:(Type integers or decimals. Do not round.)(c) What would it mean to make a Type I error?the hypothesis that the mean price iswhen the true mean price is$4The broker(Type integers or decimals. Do not round.)(d) What would it mean to make a Type II error?The brokerthe hypothesis that the mean price iswhen the true mean price is(Type integers or decimals. Do not round.)NextStatcrunch8:00SAMSUNGesc%23$backspace1478.tabetyi%24%24口85

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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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A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population was such that 19% were under 20 years old, 14% were in the 20- to 35-year-old bracket, 33% were between 36 and 50, 23% were between 51 and 65, and 11% were over 65. A study done this year used a random sample of 210 residents. This sample is given below. At the 0.01 level of significance, has the age distribution of the population of Blue Valley changed?Under 20 20 - 35 36 - 50 51 - 65 Over 6529 27 67 65 22(i) Give the value of the level of significance. State the null and alternate hypotheses.H0: The population 10 years ago and the population today are independent.H1: The population 10 years ago and the population today are not independent.H0: The distributions for the population 10 years ago and the population today are the same.H1: The distributions for the population 10 years ago and the population today are different. H0: Time ten years ago and today are independent.H1: Time ten years…
Find the standardized test statistic t for a sample with n = 25, x = 26, s = 3, and a = 0.005 if Ha: H>25. Round your answer to two decimal pla 0000 А. 1.67 B. 2.00 с. 1.24 D. 1.45
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).
Change in the average birth weight of babies born in the U.S. since 1990, in ounces 0 -0.5- -1.0 -1.5 1990 '95 ¹00 "Born between 37 and 41 and net including multiple births Source: Obstetrics and Gynecology prvy. 105 A local hospital wanted to see if the claim was true and randomly sampled 19 baby's weights and found an average weight of 7 pounds. Test the claim using a 10% level of significance that the mean weight significantly smaller than the national average of 7.5 pounds. Use the population standard deviation of 1.25 pounds. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols.) pounds Ho: Select an answer♥ ?✔ H₁: Select an answer? Based on the hypotheses, find the following: Test Statistic = p-value = pounds The correct decision is to [Select an answer The correct summary would be: [Select an answer weight significantly smaller than the national average of 7.5 pounds. What is the type I error in this situation? Select an answer…
An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8
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andomly selected students participated in an experiment to test their ability Co determine when one minute (60 seconds) has passed. Forty students yielded a a sample mean of 56.3 seconds. Assume that o = 6.5 seconds. %3D dents. Is it likely that their mean have an estimate that is reasonably close to 58 seconds?
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You believe that your morning commute to UCLA is decreasing every week. You record thetime of 7 commutes (one for each day of the week) (in minutes) for the a one-week block and thenthe following one-week block. * Calculations have been done for you: the sample mean difference is -1.714 and the sample standarddeviation is 2.984. Conduct a hypothesis test at the α = 0.15 level. The mean difference calculated as the the first one-week block minus the second one-week block. That is to say week one minus week two. a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a
← In a random sample of males, it was found that 18 write with their left hands and 212 do not. In a random sample of females, it was found that 66 write with their left hands and 440 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. ✓ 1319 K H₁: P₁ OD. Ho: P₁ P₂ H₁: P₁ P₂ Identify the test statistic. Z= -2.06 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.020 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? w an example Get more help. P2 The P-value is less than the significance level of a = 0.05, so males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is Clear all : ; I d F11 { + [ option = ? Check answer 11 I } * 1
olve this ! A FT N K Since an instant replay system for tennis was introduced at a major tournament, men challenged 1412 referee calls, with the result that 411 of the calls were overturned. Women challenged 764 referee calls, and 227 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. @ Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? 2 OA H₂: Py ZP₂ H₁: P₁ *P₂ OD. Ho: Py SP₂ H₂: Py #P₂ Identify the test statistic. z = -0.30 (Round to two decimal places as needed.) Identify the P-value. View an example Get more help. ** F2 S W P-value 0.764 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? command X # The…

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