Question:

For each of the following situations write down whether a z-test is applicable, a t-test, a two-sample z-test, or chi-square:

1. To determine if it is true that 1% of taxpayers in the US have an annual salary greater than
   $343,927 we obtain a simple random sample of 10,000 US tax payers and find that 93 of them
   have an annual salary greater than $343,927.
2. The average height students at your university in 1891 was 70 inches with an unknown
   standard deviation. We believe current students may be taller than the students in 1891 so we do a simple random sample of 20 students this year.
3. At the time of the 2008 election, a census of national voter registers had 33% Democrat, 32%
   Other, 28% Republicans, 4% Green, and 3% Libertarian. A political scientist wants to know
   if the composition of party affiliation in 2016 is different. To address this question a simple
   random sample of 256 registered voters is conducted and party affiliation is assessed.
4. Elon Musk wants to convince people that the new Tesla autopilot cars are safer than human

drivers. To test this hypothesis Tesla recruits 300 people and randomly assigns half to drive a

Tesla car without the aid of autopilot, the other half are allowed to use the autopilot feature.

After a year of driving, the researchers record whether each drive had zero incidences or at

at least one incident.

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