1. A state’s Division of Motor Vehicles (DMV) claims that 60% ofall teens pass their driving test on the
first attempt. An investigative reporter examines an SRS of the DMVrecords for 125 teens; 56 of them
passed the test on their first try. Is there convincing evidence atthe α=0.01 significance level that the
DMV’s claim is lower?

2. In a recent year, 65% of first-year college studentsresponding to a national survey identified “being
very well-off financially” as an important personal goal. A stateuniversity finds that 102 of an SRS of
200 of its first-year students say that this goal is important. Isthere convincing evidence at
the α=0.05 significance level that the proportion of all first-yearstudents at this university who think
being very well-off is important differs from the national value of65%?

3. Every road has one at some point—construction zones that havemuch lower speed limits. To see if
drivers obey these lower speed limits, a police officer uses aradar gun to measure the speed (in miles
per hour, or mph) of a random sample of 10 drivers in a 25 mphconstruction zone. Here are the data:
27 33 32 21 30 30 29 25 27 34
Is there convincing evidence at the α=0.01 significance level thatthe average speed of drivers in this
construction zone is greater than the posted speed limit?

4. A school librarian purchases a novel for her library. Thepublisher claims that the book is written at a fifth-grade readinglevel, but the librarian suspects that the reading level is lowerthan that. The librarian selects a random sample of 45 pages anduses a standard readability test to assess the reading level ofeach page. The mean reading level of these pages is 4.8 with astandard deviation of 0.6. Do these data give convincing evidenceat the α=0.01 significance level that the average reading level ofthis novel is less than 5?