Question

In: Statistics and Probability

In 2000, 58% of females aged 15 years of age and older lived alone, according to...

In 2000, 58% of females aged 15 years of age and older lived alone, according to the U.S. Census Bureau. A sociologist tests whether this percentage is decreased today by conducting a random sample of 500 females aged 15 years of age and older and finds that 280 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion has decreased since 2000? If a random sample of 30 females aged 15 years of age and older and finds that 16 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion has decreased since 2000?

Solutions

Expert Solution

Same conclusion goes for both of the test.


Related Solutions

In a previous? year, 59?% of females aged 15 years of age and older lived alone....
In a previous? year, 59?% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 800 females aged 15 years of age and older and finds that 448 are living alone. Is there sufficient evidence at the alpha equals0.01 level of significance to conclude the proportion has? changed?
3) A random sample of 1001 Americans aged 15 or older revealed that the amount of...
3) A random sample of 1001 Americans aged 15 or older revealed that the amount of time spent eating or drinking per day is 1.22 hours, with a standard deviation of 0.65 hours. a) Suppose a histogram of time spent eating and drinking were right-skewed. Use this result to explain why a large sample size is needed in order to construct a confidence interval for the mean time spent eating and drinking each day. (2 points) b) There are over...
Until recently, Ms. Freemont, age 87, lived alone in a small apartment. Last week she suffered...
Until recently, Ms. Freemont, age 87, lived alone in a small apartment. Last week she suffered a slight stroke, after several days in the hospital, she is ready to be discharged. Her daughter, Ann, is very concerned that her mother is no longer capable of living alone, and handling all her housekeeping and personal needs. She shared her concerned with one of the nurses who cared for her mother during her hospital stay. Ann is very worried and fears she...
The Age Discrimination in Employment Act mandates that 40 years of age or older be treated...
The Age Discrimination in Employment Act mandates that 40 years of age or older be treated without regard to age in all phases of employment (hiring, promotions, firings, etc.) Age discrimination cases are of two types: disparate treatment and disparate impact. In the former, the issue is whether workers have been intentionally discriminated against. In the latter, the issue is whether employment practices adversely affect the protected class (i.e., Zabell, 1989). During the recession of the early 1990s, a small...
What is the age distribution of adult shoplifters (21 years of age or older) in supermarkets?...
What is the age distribution of adult shoplifters (21 years of age or older) in supermarkets? The following is based on information taken from the National Retail Federation. A random sample of 895 incidents of shoplifting gave the following age distribution. Estimate the mean age, sample variance, and sample standard deviation for the shoplifters. For the class 41 and over, use 45.5 as the class midpoint. (Round your answers to one decimal place.) Age range (years) 21-30 31-40 41 and...
6.) A random sample of 15 females aged 19-50 was taken to measure their daily iron...
6.) A random sample of 15 females aged 19-50 was taken to measure their daily iron intake. Their mean daily iron intake was 16.2 mg with a standard deviation of 4.7 mg. (a) (10 pts) Find a 95% confindence interval for the mean daily iron intake of all females aged 19-50. (b) (5 pts) Based upon the confidence interval you found in part (a), would you conclude that the mean daily iron intake of all females aged 19-50 is 19mg?...
Q3: A study followed a population of 2000 women aged over 65 years for 10 years...
Q3: A study followed a population of 2000 women aged over 65 years for 10 years and measured the number of cases of osteoporosis diagnosed during that time period. The investigators were interested in the effect of regular exercise on the development of osteoporosis and divided he women into two groups: 1000 women who took regular exercise and 1000 women who did not take regular exercise. The investigators recorded 800 new cases of osteoporosis over the 10 years of the...
In the 1999-2000 NHANES report, the reported cancer rate for women subjects age 65 and older...
In the 1999-2000 NHANES report, the reported cancer rate for women subjects age 65 and older is 14%. Using this estimate as the true percentage of all females ages 65and over who have been told by a health care provider that they have cancer, find the probability that if 210 women are selected at random from the population, more than 20% will have been told they have cancer. In the same report, the cancer rate for men ages 65 and...
In a survey of 2000 adults 50 years and older of whom 60% were retired and...
In a survey of 2000 adults 50 years and older of whom 60% were retired and 40% were pre-retired, the following question was asked: Do you expect your income needs to vary from year to year in retirement? Of those who were retired, 45% answered no, and 55% answered yes. Of those who were pre-retired, 38% answered no, and 62% answered yes. If a respondent in the survey was selected at random and had answered yes to the question, what...
part of a long-term study of individuals aged 65 years or older, sociologists and physicians at...
part of a long-term study of individuals aged 65 years or older, sociologists and physicians at the Wentworth Medical Center in upstate New York investigated the relationship between geographic location and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. Each of the individuals sampled was given a standardized test to measure depression; higher test scores indicate...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT