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Mark claims that when given the choice, 60% of teenagers will choose soda over water. To further investigate this claim, Mark selects a random sample
Mark claims that when given the choice, 60% of teenagers will choose soda over water. To further investigate this claim, Mark selects a random sample of 150 teenagers and nds that 53.3% of them choose soda over water. Does this data provide convincing evidence at the a = 0.05 level that the proportion of teenagers that would choose soda over water differs from 60%? STATE: H0: v V V Ha: - v - where v = the v of all teenagers who would choose soda over water. The evidence for H a is v v v PLAN: Drag each statement from the answer bank to the appropriate box. True Statements False Statements Answer Bank I The random condition is not met. I I This is a random sample of 150 teenagers. I I npo = 90 2 10 I Name of test: One-sample z test for p mm = 80 Z 10 The Large Counts condition is met. I Name of test: Two-sample z test for p1 p2 I I n(1 p0) = 70 Z 10 I I n(l - p0) = 60 Z 10 I I The Large Counts condition is not met, DO: (Enter 3 decimal places) (Round to 2 decimal places) \":p || Pvalue = :] (Enter at least 4 decimal places) CONCLUDE: Because the P-value . a = 0.05, we . H0. There . convincing evidence that the proportion of 7 who would choose soda over water is v 0.60
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