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In: Math

1. A salsa producer has just received a shipment of tomatoes from their main supplier. If...

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

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