A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national parks. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?

I would like to esCmate the proporCon of adults who own a pet. How many people should I poll in order to be 94% confident that I am within 2% of the actual proporCon?

The Humane Society is interested in finding out how many households in America have at least one cat. How many households must be surveyed to be 95% confident that the estimate will be within 4% of the true population percentage?

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 98​% confident that the sample proportion will not differ from the true proportion by more than 5​%?

In 2016 the Better Business Bureau settled 84% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.84, the same as the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of p. E(p) (to 2 decimals) (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals)? probability : = c. Suppose you select a sample of 460 complaints involving new car dealers. Show the sampling distribution of p. E(F) (to 2…

A software company is interested in improving customer satisfaction rate from the 51% currently claimed. The company sponsored a survey of 157 customers and found that 89 customers were satisfied.

Suppose that the results of a survey show that 53% of people consider summer as their favorite season. How many people should be surveyed in order to have a margin of error of 6%? Round up to the nearest whole number, if necessary. In order to have a margin of error of 6%, people should be surveyed.

The US population is 13% African American.  If you were to take a SRS of 500 Americans, below what proportion will we find 50% of our sample proportions?

Suppose that the results of a survey show that 40% of people consider summer as their favorite season. How many people should be surveyed in order to have a margin of error of 4%? Round up to the nearest whole number, if necessary. In order to have a margin of error of 4%, people should be surveyed.

In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).   In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 39% with a margin of error of 1.3%. Describe the conclusion about p using an absolute value inequality.   The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in  <  and then =, the symbolic entry option will automatically convert that to  ≤ . In the same way, if you type in  >  and then =, the symbolic entry option will automatically convert that to  ≥.   Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).