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 310 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 different percentage of left-handers than the general American population? State the random yariable, 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 ?
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 ? 0
The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: H0 : ? 주웅 HA: ? ? \begin{array}{l} H_{0} \text { : ? 주웅 } \\ H_{A}: \text { ? ? } \end{array} d) A Type I error in the context of this problem would be: \checkmark Select an answer Rejecting that the \% of all students from that college that are left-handed is 11%11 \% when the %\% is really 11%11 \%. Rejecting that the \% of all students from that college that are left-handed is 11%11 \% when the %\% is really lower than that. Rejecting that the %\% of all students from that college that are left-handed is 11%11 \% when the %\% is really higher than that. Rejecting that the %\% of all students from that college that are left-handed is 11%11 \% when the %\% is really different from that. Rejecting that the \% of all students from that college that are left-handed is lower than 11%11 \% when the \% is really 11%11 \%. Rejecting that the %\% of all students from that college that are left-handed is higher than 11%11 \% when the \% is really 11%11 \%. Rejecting that the \% of all students from that college that are left-handed is different from 11%11 \% when the \% is really 11%11 \%. Failing to reject that the %\% of all students from that college that are left-handed is 11%11 \% when the %\% is really 11%11 \%. Failing to reject that the %\% of all students from that college that are left-handed is 11%11 \% when the %\% is really lower than that. Failing to reject that the %\% of all students from that college that are left-handed is 11%11 \% when the %\% is really higher than that.

Studdy Solution
a) XX The random variable is the number of left-handed students in the sample. b) pp The parameter is the proportion of all students at the college that are left-handed. c) H0:p=0.11H_0: p = 0.11 HA:p0.11H_A: p \neq 0.11 d) Rejecting that the percentage of all students from that college that are left-handed is 11%11\% when the percentage is really 11%11\%.

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