Question

In: Statistics and Probability

8.22 Fear Factor In a survey of 1275 Canadians aged 18 and over conducted by EKOS...

8.22 Fear Factor

In a survey of 1275 Canadians aged 18 and over conducted by EKOS Research, 69% of Canadians said they thought the world is more dangerous today than it was 25 years ago. a. Find a point estimate for the proportion of Canadian adults who fear that the world is more dangerous today than it was 25 years ago. Calculate the margin of error. b. The poll reports a margin of error of plus or minus 2.7%. Does this agree with your results in part a? If not, what value of p produces the margin of error given in the poll?

Significance Level : 5%, alpha = .05

Find a point estimate for the proportion of Canadian adults who fear that the world is more dangerous today than it was 25 years ago. Calculate the margin of error.
The poll reports a margin of error of plus or minus 2.7%. Does this agree with your results in part a? If not, what value of p produces the margin of error given in the poll?

Expert Solution

(a) The point estimate = 0.69

Margin of Error. ME

Therefore ME = 2.54%

(b) No, the value of ME as per = 0.69 is 2.54%

To have an ME of 2.7% = 0.027

Squaring and solving

Therefore (0.027 1.96)² * 1275/ = * (1 - )

Therefore - ² = 0.242

² - + 0.242 = 0

Solving for , we get = 0.5898 0.59

__________________________________________

To solve for , we use the equation to find the roots

Here a = 1, b = -1 and c = 0.242. Substituting in the above equation gives the value of .

orchestra answered 2 years ago

a survey of 2284 adults in a certain large country aged 18 and older conducted by...

a survey of 2284 adults in a certain large country aged 18 and older conducted by reputable polling organization founded that 424 have donated blood in the past two years. Complete Parts (a) through (C). a) obtain a point estimate for the population proportion of adults in the country age 18 and older who have donated blood in the past two years. b) verify that the requirements for constructing a confidence interval. the sample [ a) can be assumed to...

GenForward is a well-conducted monthly survey of racially and ethnically diverse young American adults, aged 18-30....

GenForward is a well-conducted monthly survey of racially and ethnically diverse young American adults, aged 18-30. A recent poll asked respondents whether they believe President Donald Trump is a racist. 411 out of 775 Whites said yes, while 1670 out of 2161 people of color (Blacks, Asian or Hispanic) said yes. The following is a 95% confidence interval for p1-p2: (-0.28, -0.20). Which of the following is correct about the percentage of Americans in this age group who believe President...

According to the 14th Annual RBC Homeownership Survey conducted by Ipsos Reid in 2007, most Canadians...

According to the 14th Annual RBC Homeownership Survey conducted by Ipsos Reid in 2007, most Canadians thought purchasing a home is a good investment. Additionally, there was less concern about interest and mortgage rate hikes than at the same time the year before: 51% were concerned about interest rate increases in 2007 versus 56% in 2006; 43% thought mortgage rates would go up in 2007 versus 70% in 2006. Suppose that these results are based on 1000 randomly selected adult...

In a survey of 1007 adults aged 18 to 74 living in a city, the prevalence...

In a survey of 1007 adults aged 18 to 74 living in a city, the prevalence of smokers was found to be 368. Build a 90% confidence interval for the proportion of smokers. Interpret the interval above. Build a 95% confidence interval for the proportion of smokers. Interpret the interval above. Compare with 90% CI.

In a recent poll of 1018 adults aged 18 and over in a country, 4% of...

In a recent poll of 1018 adults aged 18 and over in a country, 4% of respondents said they were very uncomfortable with their ability to make their monthly payments on their current debt during the next three months. Find a 95% confidence interval for the proportion of the adult population that feels this way.

In a random survey of 2221 adults aged 18 and older 689 of them said that...

In a random survey of 2221 adults aged 18 and older 689 of them said that football is their favorite sport to watch on television. Construct a 94% Confidence Interval for the true proportion of adults aged 18 and older for whom football is their favorite sport to watch on television. A (.2909, .3295) B (.2918, .3287) C (.3185. .3401) D (.3102, .3214)

Q1. A survey of 500 adults aged 18 – 29 years of age revealed that 285...

Q1. A survey of 500 adults aged 18 – 29 years of age revealed that 285 chose to eat fast food for dinner at least once in the past week. Find the sample proportion of individuals surveyed who ate fast food for dinner at least once in the past week. (Hint: p ^ = x n , where x = # of people who have given characteristic (eat fast food) and n is sample size) Q2. Verify two conditions (...

1. The General Social Survey polled a sample of 209 people aged 18-30 in the year...

1. The General Social Survey polled a sample of 209 people aged 18-30 in the year 2000, asking them how many hours per week they spend on the internet. The sample mean was 6.75 with a standard deviation of 7.71. A second sample of 541 people aged 18-30 was taken in 2006. For this sample, the mean was 7.34 and standard deviation of 10.93. Assume these are simple random samples from populations of people aged 18-30. Can you conclude that...

A survey of 2,306 adult Americans aged 18 or older found that 417 have donated blood...

A survey of 2,306 adult Americans aged 18 or older found that 417 have donated blood in the past two years. The point estimate p-hat = .181, and the sample size n = 2,306. Given the value of LaTeX: \sigmaσσp-hat found in the above question, and with the knowledge that zLaTeX: _{\frac{\alpha}{2}}α 2α 2=1.96 for LaTeX: \alphaαα=.05, Construct a 95% confidence interval for the population proportion of adult Americans aged 18 or older who have donated blood in the past...

The General Social Survey polled a sample of 209 people aged 18-30 in the year 2000,...

The General Social Survey polled a sample of 209 people aged 18-30 in the year 2000, asking them how many hours per week they spend on the internet. The sample mean was 6.75 with a standard deviation of 7.7 A second sample of 541 people aged 18-30 was taken in 2006. For this sample, the mean was 7.34 and standard deviation of 10.93. Assume these are simple random samples from populations of people aged 18-30. Can you conclude that the...