3.5/7 points 1 Pravious Answer A left-handed University of Akron student wanted

Question

3.5/7 points 1 Pravious Answer A left-handed University of Akron student wanted to test if there were ample individual seats in classrooms on campus that are for left-handed students. She randomly selects 200 seats in various rooms that had individual seating, and 12 were set up for left-handed people. The student went on the Internet and found that about 10% of population is left-handed, therefore, she tests at the 5% significance level if less than 10% of all individual seats at the University of Akron is set up for left-handed people (a) Identify the relevant variable and parameter. o population proportion of all seats that are left-handed at thee University of Akron o population proportion of all seats that are right-handed at the University of Akron O population mean of all seats that are left-handed at the University of Akron (b) State the hypotheses and check that sample size guidelines that n*p-sub zero is greater than or equal to 15 and n*(1-p-sub zero) is also greater than or equal to 15 are satisfied for the test. 0.10 Ha P S 0.10 O Yes, the guidelines are met O No, the guidelines are not met O There is not enough information. (c) Find the test statistic value. Round to two decimal places Find and interpret a P-value and state the conclusion in context. Round to four decimal places. (Use a 0.05.) P-value-

Explanation / Answer

a)

Population proportion of all seats are left handed at the University of Akron

c)

P = 12/200 =0.06

z = ( P - p)/sqrt(p * (1 -p)/n)
= ( 0.06 - 0.10) / sqrt(0.10 * (1-0.10)/200)
= -1.89

P value = 0.0294

We reject the null hypothesis.There is sufficient evidence to support that the student on the internet and found that about 10% of population is left handed

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