Answer the next 2 questions using the following information. The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas.  Calculate the p-value.

Recherchers conducted two surveys about teens are their use of social media. The First survey asked a Random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same question to a Random sample of 2253 Canadian teens. In these two studies. 73% of U.S. teens and 88% of Canadian teens said that they use instagram. Use these results to answee the following questions about the proportion of U.S. and Canadian teens that use instagram. (Round to the nearest whole hundredth as needed).

The Bangor Humane Society tracks cat adoptions closely. They sample 54 people who looked at cats this month and find that 36 of them adopted cats. What is the sample proportion (p-bar)? Round your answer to 2 decimal places.

A school board would like to determine whether there is a difference in average SAT scores for students at one high school versus another high school in the district. To check, they take a simple random sample of 100 students from each high school. A. Is the data paired?

Determine whether the statement describes a descriptive or inferential statistic. A survey of 1478 people revealed that 52 % eat while they drive; therefore it can be assumed that 52 % of the U.S. population eats while they drive. 囲 Tables E Keypad Answer Keyboard Shortcu O Descriptive Statistic O Inferential Statistic

Rangers tagged and released 250 small mouth bass into a Round Lake. A month later, fishermen on the lake were surveyed. They reported catching 50 small mouth bass, 5 of which had tags. Using this sample, estimate the small mouth bass population in the lake.

A survey of 100 students are taken. 32 Yes and 68 no. Find the point estimate of p and 96% CI.

Approximately 21% of music lovers like Country Music. Of those who do, 97% do not have mild brain damage.What percent of music lovers like Country and have Brain Damage?

Suppose that 9% of all athletes in a sport use a banned drug. A test is available that detects 94% of athletes who use the drug. But the test also gives a positive result for 8% of those who do not use the drug. What percent of athletes who test positive for the drug are actually using the drug? Answer: 77.28 %

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…