In: Math
1. A salsa producer has just received a shipment of tomatoes
from their main supplier. If the salsa
company finds convincing evidence that more than 7% of the tomatoes
are damaged and
unusable for the salsa making process, the truck will have to be
sent away and a new shipment
will have to be sent out by the supplier. An inspection reveals
that 49 tomatoes are unusable
when the supervisor selects a random sample of 500 tomatoes from
the truck. Carry out a
significance test at the α = 0.05 significance level. What should
the salsa producer conclude
about the shipment?
2. As part of the Southeastern Region of Teach America,
researchers conducted two surveys in
2019. The first survey asked a random sample of 1287 Florida
college students about their use of
online tutoring services. A second survey posed similar questions
to a random sample of 1354
Georgia college students. In these 2 studies, 57% of Florida
college students and 68% of Georgia
college students said they used online tutoring services. Construct
and interpret a 90%
confidence interval for the difference between the proportion of
Florida and Georgia college students who use online tutoring
services