AnswersCA-Statistics and Probability BPreparing to Estimate a Population Proportion

Estimating a Population Proportion Answers

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Thomari constructs a 95% confidence interval to estimate the proportion of students at her high school who like the cafeteria food. Assume that all conditions have been met. Her 95% one-proportion z-interval is (0.23, 0.46).Is it reasonable to conclude that the majority of the students at Thomari’s high school do not like the cafeteria food?

A
Yes, because the interval of students who like the food does not contain 0.5, the interval of students who do not like the food would be entirely below 0.5.
B
Yes, because the interval of students who like the food is entirely below 0.5, the interval of students who do not like the food would be entirely above 0.5.
C
No, because a different sample might give different results, so no conclusion can be drawn.
D
No, because Thomari’s interval is entirely below 0.5, so it cannot represent a majority.

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