Preview

Calculating the Sample Size

Good Essays
Open Document
Open Document
634 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Calculating the Sample Size
Transportation Survey Sample Calculation

The confidence interval (also called margin of error) is the plus-or-minus figure usually reported in newspaper or television opinion poll results. For example, if you use a confidence interval of 4 and 47% percent of your sample picks an answer you can be "sure" that if you had asked the question of the entire relevant population between 43% (47-4) and 51% (47+4) would have picked that answer.
The confidence level tells you how sure you can be. It is expressed as a percentage and represents how often the true percentage of the population who would pick an answer lies within the confidence interval. The 95% confidence level means you can be 95% certain; the 99% confidence level means you can be 99% certain. Most researchers use the 95% confidence level.
When you put the confidence level and the confidence interval together, you can say that you are 95% sure that the true percentage of the population is between 43% and 51%. The wider the confidence interval you are willing to accept, the more certain you can be that the whole population answers would be within that range.
For example, if you asked a sample of 1000 people in a city which brand of cola they preferred, and 60% said Brand A, you can be very certain that between 40 and 80% of all the people in the city actually do prefer that brand, but you cannot be so sure that between 59 and 61% of the people in the city prefer the brand.
|Calculating the Sample Size | |
|The sample size, in this case, refers to the number of children to be included in the survey. | |
|Step 1: Base Sample-size Calculation | |
|The appropriate sample size for a population-based survey is determined largely by three factors: (i) the | |
|estimated prevalence of the variable of interest – transportation in

You May Also Find These Documents Helpful

  • Good Essays

    QNT 561 Final Exam

    • 697 Words
    • 5 Pages

    11. We wish to develop a confidence interval for the population mean. The population follows the normal distribution, the standard deviation of the population is 3, and we have a sample of 10 observations. We decide to use the 90 percent level of confidence. The appropriate value of to represent the level of confidence is…

    • 697 Words
    • 5 Pages
    Good Essays
  • Good Essays

    Math300

    • 524 Words
    • 2 Pages

    With a mean score of 14.87, a standard deviation of 0.55033, and a desired confidence level of 95%, the corresponding confidence interval is + 0.2. There is a 95% certainty that the true population mean falls within the range of 14.67 to 15.07.…

    • 524 Words
    • 2 Pages
    Good Essays
  • Satisfactory Essays

    · Discuss the confidence intervals and their usefulness based on the number of data points.…

    • 468 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Pdf Chapter 9

    • 601 Words
    • 3 Pages

    What is the 99% confidence interval for the population mean? A) [17.42, 20.78] B) [17.48, 20.72] C) [14.23, 23.98] D) [0.44, 3.80] Answer: A Use the following to answer questions 84-86: A survey of 25 grocery stores revealed that the average price of a gallon of milk was $2.98 with a standard error of $0.10. 84. What is the 95% confidence interval to estimate the true cost of a gallon of milk? A) $2.81 to $3.15 B) $2.94 to $3.02 C) $2.77 to $3.19 D) $2.95 to $3.01 Answer: C 85. What is the 98% confidence interval to estimate the true cost of a gallon of milk? A) $2.73 to $3.23 B) $2.85 to $3.11 C) $2.94 to $3.02 D) $2.95 to $ 3.01 Answer: A 90. A pharmaceutical company wanted to estimate the population mean of monthly sales for their 250 sales people. Forty sales people were randomly selected. Their mean monthly sales were $10,000 with a standard deviation of $1000. Construct a 95% confidence interval for the population mean. A) [9,690.1, 10,309.9] B) [9,715.5, 10,284.5] C) [8,040, 11,960] D) [8,000, 12,000] Answer: B Use the following to answer questions 91-92: A survey of an urban university (population of 25,450) showed that 750 of 1100 students sampled attended a home football game during the season. What inferences can be made about student attendance at football games? 91. Using the 99% level of confidence, what is the confidence interval? A) [0.767, 0.814] B) [0.0.6550, 0.7050] C) [0.6659, 0.6941] D) [0.0.6795, 0.6805] Answer: C 92. Using the 90% level of…

    • 601 Words
    • 3 Pages
    Good Essays
  • Good Essays

    When gathering data through survey it is better to consider the sample size that can be representative of the targeted audience where so few re-spondents means the collected data may not be representative of those targeted audience that leads to inaccurate results. Thankfully, there is way that can be used to calculate the sample size needed to conduct a survey. This way one can use to determine how many respondents are for a survey needed to ensure the researcher is able to act on the most possible accurate results (Widgix, LLC dba SurveyGizmo, 2016).…

    • 306 Words
    • 2 Pages
    Good Essays
  • Good Essays

    • What is meant by a 95% confidence interval? That we are 95% confident that our calculated confidence interval actually contains the true mean.…

    • 858 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    This paperwork of SOC 490 Week 1 Discussion Question 2 Methodology for Selecting a Sample Population includes:…

    • 454 Words
    • 2 Pages
    Satisfactory Essays
  • Powerful Essays

    When collecting data disciplined techniques much like on-street interviews, online questionnaires, or telephone interviews should be used. Sampling sizes typically occur when using larger numbers of cases representing populations of interest, randomly selected respondents. Findings of statistical data are conclusive and definitive typically descriptive in its nature.…

    • 917 Words
    • 3 Pages
    Powerful Essays
  • Good Essays

    Team Paper Scenario

    • 1139 Words
    • 5 Pages

    Based on the health plan survey with a sample of people who reported receiving a flu shot, the percentage of all people who received the flu vaccine is probably between 67% and 73%. However, as stated in this case scenario, only 61% of all eligible health plan enrollees actually received a flu shot. Therefore, a miscalculation has occurred in the survey because the actual percentage of people who received the flu vaccine did not fall between the ranges as predicted by the margin of error. Bennett, Briggs, and Triola (2009) stated, “The margin of error in a statistical study is used to describe the range of values or confidence interval, likely to contain the population parameter” (p. 1). From this definition, we can conclude that a value predicted by the margin of error is never absolute. Furthermore, it also indicates that the higher the percentage of the margin of error, the less credibility the survey supports.…

    • 1139 Words
    • 5 Pages
    Good Essays
  • Good Essays

    that are not selected randomly are likely to be biased and not apply to a general population.…

    • 574 Words
    • 3 Pages
    Good Essays
  • Powerful Essays

    The width of the prediction interval is 2.9996 - 2.9972 = .0024. The width of the confidence interval is 2.9985 – 2.9983 = .0012. The width of the prediction interval is exactly twice as large (wide) as the confidence interval. If the confidence interval is increased to C = 0.95 (95%), the result is an increase…

    • 691 Words
    • 3 Pages
    Powerful Essays
  • Satisfactory Essays

    A statistics practitioner took a random sample of 50 observations from a population with a standard deviation of 25 and computed the sample mean to be 100. a.Use an interval estimate to estimate the population mean with 90% confidence.[mu-1.64*SD/√n,mu+1.64*SD/√n] [100-1.64*25/√50,100+1.64*25/√50][94.2017,105.7983]-90% Confidence b.95% confidence. [mu-1.96*SD/√n,mu+1.96*SD/√n] [100-1.96*25/√50,100+1.96*25/√50][93.0704,106.9296]-95% Confidence c.99% confidence. [mu-2.57*SD/√n,mu+2.57*SD/√n] [100-2.57*25/√50,100+2.57*25/√50][90.9137,109.0863]-99% Confidence…

    • 304 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    If many random samples were taken, 95% of the confidence intervals produced would contain the actual…

    • 770 Words
    • 6 Pages
    Good Essays
  • Good Essays

    Confidence Intervals

    • 2094 Words
    • 9 Pages

    The Central Limit Theorem tells us that if we take very many samples the means of all these samples will lie in an interval around the population mean. Some sample means will be larger than the population mean, some will be smaller. The Central Limit Theorem goes on to state that 95% of the sample means will lie in a certain interval around the population mean. That interval is called the 95% confidence interval. Practically spoken it means that whenever someone is taking a sample and calculates the mean of that sample, he can be 95% confident that the mean of the sample he just took is in the 95% confidence interval. More importantly, if someone takes a sample from a population and calculates the mean of that sample, he can be 95% confident that the population mean is also in the 95% confidence interval. Thus, the sample mean gives us an approximation of the population mean. The same holds true for a 90%, a 99%, or for that matter any percentage confidence interval. Depending on the situation we are in, we can easily calculate these intervals. There are three different situations which we will study, but let us first look at the general idea of a confidence interval.…

    • 2094 Words
    • 9 Pages
    Good Essays