Question

In: Statistics and Probability

In a study of the relationship between pet ownership and physical activity in older adults, 597...

In a study of the relationship between pet ownership and physical activity in older adults, 597 subjects reported that they owned a pet, while 1925 reported that they did not. Give a 95% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Upper limit

Solutions

Expert Solution

Solution :

Given that,

n = 1925

x = 597

Point estimate = sample proportion = = x / n = 0.310

1 - = 0.690

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.96 * (((0.310 * 0.690) / 1925)

= 0.021

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.310 - 0.021 < p < 0.310 + 0.021

0.289 < p < 0.331

Lower limit = 0.289

Upper limit = 0.331


Related Solutions

In a study of the relationship between pet ownership and physical activity in older adults, 597...
In a study of the relationship between pet ownership and physical activity in older adults, 597 subjects reported that they owned a pet, while 1925 reported that they did not. Give a 95% confidence interval for the proportion of older adults in this population who are pet owners. Find the Lower Limit and the Upper Limit.
In a study of the relationship between pet ownership and physical activity in older adults, 608...
In a study of the relationship between pet ownership and physical activity in older adults, 608 subjects reported that they owned a pet, while 1921 reported that they did not. Give a 95% confidence interval for the proportion of older adults in this population who are pet owners. (Round your answers to three decimal places.) Lower limit: ? Upper limit: ?
A researcher is conducting a pilot study on physical activity in healthy older adults, and is...
A researcher is conducting a pilot study on physical activity in healthy older adults, and is measuring the number of minutes of elevated heart rate that the participants attain over the course of seven days. The researcher is particularly interested in the role that gender plays in exercise, and has sorted her data by gender. Number of minutes for females: 98, 49, 55, 303, 60, 75, 59, 121, 95, 99, 27, 50, 62, 70, 86, 126, 138, 111, 86, 69...
Physical activity of obese young adults. In a study on the physical activity of young adults,...
Physical activity of obese young adults. In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject (International Journal of Obesity, Jan. 2007). The study revealed that the overall physical activity of obese young adults has a mean of μ = 320 cpm μ = 320   cpm and a...
How important is Physical activity & exercise for older adults? What are the recommendations?
How important is Physical activity & exercise for older adults? What are the recommendations?
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity...
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject (International Journal of Obesity, Jan. 2007). The study revealed that the overall physical activity of obese young adults has a mean of 320 cpm and a standard deviation of 100 cpm. In a random sample of n =...
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity...
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject (International Journal of Obesity, Jan. 2007). The study revealed that the overall physical activity of obese young adults has a mean of m = 320 cpm and a standard deviation of s = 100 cpm. (In comparison, the...
A researcher is interested in examining the relationship between social isolation for older adults (x), defined...
A researcher is interested in examining the relationship between social isolation for older adults (x), defined as the percentage of the people over the age of 65 who live alone, and eldercide rates (y), defined as the homicide rate for people over age 65 per 100,000. Collecting data from 195 cities, they find the following: top enclose x equals 30.95 s subscript x equals 5.96 top enclose y equals 2.80 s subscript y equals 5.71 r subscript x y end...
4. A research study was conducted to examine the differences between older and younger adults on...
4. A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. Ten older adults (over the age of 70) and ten younger adults (between 20 and 30) were give a life satisfaction test (known to have high reliability and validity). Scores on the measure range from 0 to 60 with high scores indicative of high life satisfaction; low scores indicative of low life...
In a study on the physical activity of people, researchers measured overall physical activity as the...
In a study on the physical activity of people, researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject. The study revealed that the overall physical activity of obese people has a mean of μ=322cpm and a standard deviation σ=92cpm. In a random sample of 100 obese people, consider x ̅, the sample mean counts per minute. Now suppose...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT