Math  /  Data & Statistics

QuestionIt is believed that 11%11 \% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 250 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem. a) The symbol for the random variable involved in this problem is ? \square The wording for the random variable in context is as follows: Select an answer b) The symbol for the parameter involved in this problem is \square ?
The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: H0: ? 0 ?  HA:? ? ?  \begin{array}{l} H_{0}: \text { ? } 0 \text { ? } \cdot \text { } \square \\ H_{A}: ? \text { ? ? } \cdot \text { } \square \end{array} d) A Type I error in the context of this problem would be:
Select an answer \square e) A Type II error in the context of this problem would be: Select an answer

Studdy Solution
a) XX: The proportion of left-handed students in the sample. b) pp: The proportion of left-handed students at the college. c) H0:p=0.11H_0: p = 0.11, HA:p>0.11H_A: p > 0.11 d) Concluding the college has more left-handed students than average when it doesn't. e) Concluding the college has the average amount of left-handed students when it actually has more.

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