1. A public opinion poll on the 2016 presidential race was conducted by surveying 1,000 randomly...

1. A public opinion poll on the 2016 presidential race was conducted by surveying 1,000 randomly selected registered voters. It was found that 59% of all registered voters intended to vote Democrat. To determine whether this is representative of your town, you conduct a survey of a random sample of 75 voters in your town.

Calculate the mean of the sampling distribution of the national sample proportion.

2. The marketing team at Caya Shoe Company has determined their top running shoe has a probability of 0.59 to be chosen over a competing brand by female consumers. This was determined by field-testing the shoe with a similar shoe from a competing brand. One hundred women were asked to try both pairs of shoes and choose one pair to keep as payment for their participation. To avoid bias, the women had no way of knowing whether Caya Shoes or the competing brand was conducting the survey. The marketing director selects a random sample of 17 customers to determine whether this is the true probability.

Calculate the standard deviation of the sampling distribution of the sample proportion. (Round your answer to three decimal places.)

3. Consider a small population consisting of the 100 students enrolled in an introductory statistics course. Students in the class completed a survey on academic procrastination. The average number of hours spent procrastinating when they should be studying, per exam, by all students in this course is 5 hours with a standard deviation of 3 hours. The distribution of amount of time students spend procrastinating is known to be normal.

(a) Identify the value (in hours) of the population mean.

(b) Calculate the standard deviation (in hours) of the sampling distribution of the sample mean for a sample of size 18 drawn from this population. (Round your answer to three decimal places.)

(c) What is the probability of obtaining a sample mean of less than 2 hours based on a sample of size 18 if the population mean truly is 5 hours? (Use a table or technology. Round your answer to five decimal places.)

Expert Solution

orchestra answered 2 years ago

A public opinion poll asked 930 randomly selected adults if they felt safer given that the...

A public opinion poll asked 930 randomly selected adults if they felt safer given that the U.S. has nuclear weapons, and 543 of the respondents answered “yes.” Find the sample proportion of adults that answered “yes” in this poll. Use a 90% confidence level to compute the margin of error for the point estimate in part (a) above. State the 90% confidence interval for the population proportion of adults who feel safer given that the U.S. has nuclear weapons. Correctly...

What are public opinion polls? To whom are they useful? How are public opinion polls conducted?...

What are public opinion polls? To whom are they useful? How are public opinion polls conducted? Are they reliable? Why or why not?

A private opinion poll is conducted for a politician to determine what proportion of the population...

A private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed in order to be 92% confident that the sample proportion will not differ from the true proportion by more than 5% ?

Provide Details for each answer 1. Which of the following affects political public opinion? a. Race...

*Provide Details for each answer* 1. Which of the following affects political public opinion? a. Race b. Gender c. Partisanship d. All of the above 2. President ____________ was forced into pushing against public opinion in the case of the integration of the University of Mississippi. a. Kennedy b. Johnson c. Nixon d. Ford 3. When was slavery officially encoded into Massachusetts colonial law? a. 1619 b. 1641 c. 1693 d. 1703 4. Latinos largely support a. Conservative domestic policy...

A statewide poll was conducted between the governor race in Georgia between Democratic Stacey Abrams and...

A statewide poll was conducted between the governor race in Georgia between Democratic Stacey Abrams and Republican Brian Kemp. In the poll, Abrams had 46.9 percent of likely voters, and Kemp had 47.7 percent of likely voted. The results covered 1091 registered voters. Report the 95 percent confidence intervals for Abrams and Kemp. Do they overlap or not?

Use the Internet to search for opinion polls (non-presidential). Referencing the recent poll you identified, discuss...

Use the Internet to search for opinion polls (non-presidential). Referencing the recent poll you identified, discuss why you might think the results of the poll might not reflect the opinions of the population from which the sample was drawn. Be sure to reference the statistical concepts you have learned in this unit and the poll you selected for your post (including the URL).

A study was conducted by a large cosmopolitan hospital to determine the general public opinion on...

A study was conducted by a large cosmopolitan hospital to determine the general public opinion on telemedicine . The hospital management is considering to offer telemedicine if more than three fourths of the general public have a favorable opinion on telemedicine. In a sample of 100 people, 90 declared that they like the idea of telemedicine. 1. What is the parameter of interest and the type of test associated with the hypothesis test testing the validity of the above claim?...

The national survey has conducted a poll examining the financial health of public servants as they...

The national survey has conducted a poll examining the financial health of public servants as they approach retirement age. According to responses from the survey of persons 55 years of age and over, 60% of them have stated that they are adequately prepared for retirement. Proposed changes to mandatory retirement laws may mean that persons who would normally be retiring at age 65, may no longer choose to do so, particularly if they feel they are not financially in the...

Video games In a poll of 1,063 randomly selected adult gamers conducted by the Pew Internet...

Video games In a poll of 1,063 randomly selected adult gamers conducted by the Pew Internet Project, 54% of the adult gamers interviewed reported that they used a gaming console (such as an Xbox 360, PS3 or Wii) to play video games. In a separate Pew study, 89% of 1,064 randomly selected teen gamers reported that they used a gaming console. Perform a hypothesis test to evaluate the claim that teen gamers are more likely to use a gaming console...

A public opinion poll surveyed a simple random sample of 550 voters in Oregon. The respondents...

A public opinion poll surveyed a simple random sample of 550 voters in Oregon. The respondents were asked which political party they identified with most and were categorized by residence. Results are shown below. Decide if voting preference is independent from location of residence. Let α=0.05. Republican Democrat Independent NW Oregon 85 103 22 SW Oregon 45 66 10 Central Oregon 46 53 9 Eastern Oregon 67 33 11 Enter the test statistic - round to 4 decimal places.

Question