statistics

posted by .

In a poll of 700 selected people in the USA who are 50 years or older, 20% said they would prefer a complete overhauling of the social security system. Estimate the population proportion of the USA of 50 years or older who would prefer a complete overhauling of the social security system. Use a 95% confidence level. What is the minimum number of people required that would give a sampling error of only 5%?

  • statistics -

    Try this formula:
    n = [(z-value)^2 * p * q]/E^2
    = [(1.96)^2 * .2 * .8]/.05^2

    I'll let you finish the calculation.

    Note: n = sample size needed; .2 (20%)for p and .8 (which is 1 - p) for q. E = maximum error, which is .05 (5%) in the problem. Z-value is found using a z-table (for 95%, the value is 1.96). Symbols: * means to multiply and ^2 means squared.

    I hope this will help get you started.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. social studies

    Does anyone know a place where I can find out what the required # years of education was in 1985 in USA?
  2. MTH233/statistics UOP

    You work for the public relations department of the Social Security Administration. In an effort to design better advertising campaigns, your department decides to conduct a survey to find out the opinions people in the United States …
  3. statistics

    Sweden is reported to have among the highest percentage of citizens aged 80 years and over, at approximately 5.5 % (i.e. 5.5 % of it's population falls within this age category). Suppose 20 individuals are randomly selected from the …
  4. Statistics

    Suppose the U.S. president wants an estimate of the proportion of the population who support his current policy toward revisions in the Social Security system. The president wants the estimate to be within 0.028 of the true proportion. …
  5. English

    1. I can't wait to go to the USA. 2. I look forward to going to the USA. 3. I anticipate going to the USA. 4. I long to go to the USA. 5. I desire to go to the USA. 6. I expect to go to the USA. (Are they all the same in meaning?
  6. Statistics (46)

    The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the …
  7. Economics (45)

    The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the …
  8. statistics

    The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the …
  9. college algebra

    In the state of Indiana, 192,031 people claim not to speak English very well. If this is 3.2% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. (round …
  10. damon-steve- help statistics

    Statistics City XYZ has 8800 registered voters. There are two candidates: Peter and Paul. A poll of 600 randomly selected registered voters was conducted. We know that 331 said they'd vote for Peter and 251 said they'd vote for Paul. …

More Similar Questions