In a previous year, 56% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 400 females aged15 and older and finds that 214 are living alone. Is there sufficient evidence at the a= 0.05 level of significance to conclude the proportion has changed?10, the sample size isBecause npo (1-Po) = 98.6hypothesis are satisfied.(Round to one decimal place as needed.)Identify the null and alternative hypotheses for this test.0.56H₂-Р0.56 versus H₁: P(Type integers or decimals. Do not round.)Find the test statistic for this hypothesis test.2₁-0(Round to two decimal places as needed.)Dless than 5% of the population size, and the sampleisa random sample, all of the requirements for testing the

Suppose p is the true population proportion of females aged 15 and older lived alone.

Answered: In a previous year, 56% of females aged…

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 researcher is interested in whether there is a difference between male and female college students in the amount of time spent doing volunteer work for the last 6 months. The researcher gathers a random sample of college students. The amount of time volunteering is measured in hours, which is an interval level-ratio and is normally distributed. Which statistical test should be used to analyze this data? a. Multiple regression b. paired samples t-test c. independent groups t-test d. Factorial ANOVA
The estimated standard error in the denominator of the dependent samples t statistic measures how much difference, in average, could be expected between pre- and post measurement by chance (i. e., if a sample is just measured twice without any treatment between the two measurements). A. True B. False ( dont hand writing solution)
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
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To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: “How often do you read a book outside of work or school: regularly, sometimes, or never?” The results are summarized in the following table: OBSERVED READING HABITS Regularly Sometimes Never Total Male 42 72 10 124 Female 72 74 7 146 Total 107 146 17 270 A)Suppose the chi-square test statistic is 3.7329254 with 2 degrees of freedom. Using the chi-square table, what is the p-value for this test? B)Suppose the p-value is 0.11. At the a = 0.05 level, what conclusion should be made?
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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).
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A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer. Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer. Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the ? = .05 level? (Use 2 decimal places.) Tar Level Frequency 0-7 129 8-14 324 15-21 543 22 153 ?2 = P-value interval p < 0.0010.001 ≤ p < 0.01 0.01 ≤ p < 0.05 0.05 ≤ p < 0.10 p ≥ 0.10

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