1. Great Britain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other countries. Some Canadians, however, feel that a higher percentage of Canadians than Britons read. A recent Gallop poll reported that 86% of 1004 randomly sampled Canadians read at least one book in the past year, compared to 81% of 1009 randomly sampled Britons. Do these results indicate that the percentage of Britons who read at least one book in the past year is less than the percentage of Canadians who read at least one book in the past year?
a) What are the null and alternative hypotheses for this situation? Write the hypotheses in proper statistical notation.
b) What conditions must be met to use a Normal approximation for this situation (name them)?
c) Explain how the conditions have been met to use a Normal approximation. Show calculations, where necessary.
d) What is the standard deviation for this distribution? Show your formulas and work!
e) Neatly draw or copy the distribution from StatKey.
f) What is the p-value for this sample? Indicate the p-value on the graph above.
g) What is the formal conclusion regarding the hypothesis?
h) What is the conclusion in CONTEXT in a complete sentence?