Math Problem Statement
Nationwide, there is a 0.34 probability of randomly selecting student taking an evening class (no daytime classes).
In order to see if the probability of finding an evening student at Tucson College is smaller than this, the result from a random sample of 198 students there was that 0.21 of them are taking an evening class (no daytime classes).
Select all of the alternate hypotheses that are appropriate for this test.
Ha:x¯>0.21
Ha:p^<0.21
Ha:p<0.21
Ha:p^≠0.21
Ha:μ≠0.21
Ha:x¯<0.21
Ha:x¯≠0.21
Ha:p^>0.21
Ha:p>0.21
Ha:p≠0.21
Ha:μ>0.21
Ha:μ<0.21
None of These do not include tops just the answer
Solution
The appropriate alternate hypothesis for this test is:
Ha: p < 0.34
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Probability
Proportions
Formulas
Z-test for proportions: Z = (p̂ - p) / sqrt[p(1-p)/n]
Theorems
Central Limit Theorem
Law of Large Numbers
Suitable Grade Level
College-level Statistics
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