Seafood restaurants along the coast of New England offer a variety of entrees, b
ID: 3020431 • Letter: S
Question
Seafood restaurants along the coast of New England offer a variety of entrees, but lobster is the most popular meal. At Newick’s Lobster Home in Dover, New Hampshire, 37% of all diners order lobster. Suppose 120 customers are selected at random, and the meal ordered by each is recorded.
Fill in the blank. (Give your answer to four decimal places.)
A. probability that the sample proportion of diners who order lobster is less than 0.30 is ____.
B. The manager of Newick’s is concerned that more customers might be ordering lobster. This would require a change in restaurant ordering and a shift in kitchen staff. Suppose the actual proportion of diners who order lobster is 0.42 . Is there any evidence to suggest that the proportion of diners who order lobster has increased?
Explanation / Answer
1.) p = proportion of diners who order lobsters
P(p < 0.3) = P ( Z < ( 0.3 - 0.37)/(0.3 × 0.7/120)
= P( Z < -1.673)
= 0.0471
B.) Ho : p = 0.37. H1 : p > 0.37
Z = ( 0.42 - 0.37)/ ( 0.42 × 0.58/120)
= 1.110
Z0.05 = 1.96
Since Zcal > Z0.05
We reject Ho
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