Maple syrup producers in New York and Vermont collect sweet-water sap from sugar maples and black maples in early spring. It takes approximately 30–50 gallons of sap to yield, through boiling and...

Maple syrup producers in New York and Vermont collect sweet-water sap from sugar maples and black maples in early spring. It takes approximately 30–50 gallons of sap to yield, through boiling and evaporation, 1 gallon of maple syrup. Independent random samples of maple trees in both states were obtained, and the amount of sap collected from each tree was recorded. Assume the underlying populations are normal, with equal variances. Is there any evidence to suggest that the population mean amount of sap from trees in New York is different from the population mean amount of sap from trees in Vermont?

Recycling of aluminum, glass, newspapers, and magazines is good for the environment and the economy. In 2013, San Francisco had the highest recycling rate in the United States (recycling rate 5 tons collected for recycling/tons of all waste generated). Despite efforts to make the process easier, many people still do not recycle. Independent random samples of residents in Ohio and in Florida were obtained and asked whether they recycle newspapers. Of the 909 Ohio residents, 700 said they recycled newspapers, and 691 of the 923 Florida residents said they recycled newspapers.

A.Is there any evidence to suggest that the population proportion of residents in Ohio who recycle newspapers is greater than the population proportion of residents in Florida?

B.
Find the p value for this hypothesis test.