1) Will there comes a time when hiring decisions will be done using a computer algorithm, and without any human involvement? Conducted in2010, a survey found that63.5%of the adults surveyed were worried about the development of algorithms that can evaluate and hire job candidates.Dr. Fu wants to check this claim. A random sample ofn=500U.S. adults was selected, with296saying they were worried about this issue.

Based on a two-tailed estimation at the 94% confidence level, Dr. Fu's result suggested that:

2) The Chevrolet Boltcars were reviewed to have an EPA rating of 238 miles between battery charges. To test this claim, Dr. Fu use a n=36 road tests and that the average miles between charges was244 miles with a standard deviation of 19.2 miles.

Compute the lower boundary of atwo-tailed 97%confidence interval for the population average miles between battery charges

3)A record shows that the proportion of sports utility vehicles (SUVs) being driven in a country was 0.1. Dr. Fu conducted a survey this year to estimate the proportion of SUVs in this country. A random sample of450registrations are selected from a Department of Motor Vehicles database, and59are classified as SUVs.

Based on a two-tailed estimation at the 98% confidence level, Dr. Fu's result suggested that:

4)The National Hockey League has approximately 75% of its players born outside the United States. A random sample of 150 NHL players was collected for analyses. (Round your answers to the 4^th decimal place, if possible.) What is the probability that the sample proportion of players born outside the United States is less than 69%?

5)Do you think that the United States should pursue a program to send humans to Mars? An opinion poll conducted by the Associated Press indicated that 463 of the 988 adults surveyed think that we should pursue such a program. How confidence you will have (in a integer percent), if your estimation interval is (0.4388, 0.4985)?

6)Biomass, the total amount of vegetation held by the earth's forests, is important in determining the amount of unabsorbed carbon dioxide that is expected to remain in the earth's atmosphere. Suppose a sample of 95 one-square-meter plots, randomly chosen in North America's boreal (northern) forests, produced a mean biomass of 4.3 kilograms per square meter, with a standard deviation of 1.45. If the estimated interval is (3.9479, 4.6521), what is the confidence level as a integer percent?