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 650 females aged 15 and older andfinds that 365 are living alone. Is there sufficient evidence at the x = 0.01 level of significance to conclude the proportion has changed?Because npo (1 - Po) = L 10, the sample size issatisfied.(Round to one decimal place as needed.)5% of the population size, and the samplea random sample, all of the requirements for testing the hypothesis

Given data in the problem issample of females n= 650 living alone x=365Level of significance = 0.01…

Answered: In a previous year, 57% 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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In a survey of 500 drivers from the South, 408 wear a seat belt. In a survey of 370 drivers from the Northeast, 288 wear a seat belt. At a = 0.07, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? 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 drivers who wear seat belts in the South is greater than in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Hg and H Choose the correct answer below. O B. Ho: P1 = P2 OC. Ho: P, * P2 O A. Ho: P1 > P2 H: P, SP2 H: P, *P2 Ha: P1 = P2 O D. Ho: P1 P2 OF. Ho: P1 2 P2 H,: P, OC. z
Determine the Durbin-Watson statistic.
B. Samples of size n were randomly selected from populations with means and variance given below. In each case, find the mean and variance of the sampling distribution of the means. 1. n= 4 2. n= 4 3. n= 4 4. n= 5 5. n = 6 議 µ = 5.5 µ = 7.5 p = 8.5 p = 15 H = 20 2 = 25 2 = 9 0? = 16 {? = 30 0? = 36
The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S.Households Observed Numberof Households inthe Community Married with children 26% 92 Married, no children 29% 121 Single parent 9% 31 One person 25% 102 Other (e.g., roommates, siblings) 11% 65 A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) B)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
13) In a clinical study of an allergy drug, 115 of the 260 subjects reported experiencing significant relief from their symptoms. From the data, a 90% C.I. for the percentage of all subjects reported experiencing significant relief from their symptoms is (,blank ), blank (round to the 3rd decimal place).
Suppose a one sided test for a proportion resulted in a p-value of 0.06. What would the p-value be if the test were two tail test? Select one: A. It would still be 0.06. B. It would be 0.3. C. It would be 0.12. D. There is no way to calculate this without completely redoing the original test with a new alternative hypothesis.
A governmental agency computed the proportion of violent crimes in the United States in a particular year falling into each of four categories. A simple random sample of 500 violent crimes committed in California during that year were categorized in the same way. The following table presents the results. Category U.S.Proportion CaliforniaFrequency Murder 0.018 4 Forcible Rape 0.07 35 Robbery 0.390 218 Aggravated Assault 0.522 243 Can you conclude that the proportions of crimes in the various categories in California differ from those in the United States as a whole? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. (b) Find the P-value. Round the answer to at least four decimal places.
Given a set of normally distributed scores with the mean of 20.00 and SD of 5.00, what proportion of scores are a) between 10 and 28 b) between 15 and 32
The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Swimming 85 ATTI Tennis Basketball 18-25 98 88 26-30 104 100 46 31-40 62 63 40 54 30 Over 40 63 What can be concluded at the = 0.10 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The age distribution is the same for each sport. The age distribution is not the same for each sport. O Age and sport preference are dependent. O Age and sport preference are independent. H1: O Age and sport preference are independent. O The age distribution is not the same for each sport. O Age and sport preference are dependent. O The age distribution is the same for each sport.

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