Students enrolled in an introductory statistics course at a university were aske
ID: 3127000 • Letter: S
Question
Students enrolled in an introductory statistics course at a university were asked to take a survey that indicated whether the student has a visual or verbal learning style. Of the 36students who took the survey, 22 were judged to have a visual learning style, and 14 were considered verbal learners. Consider these 36 students to be a random sample of students at this university.
Conduct a test of significance of whether these sample data provide strong evidence that more than half of all students at the university have a visual learning style. Be sure to report the hypotheses, test statistic, and p-value. Also check the technical conditions of the procedure, and write a conclusion in context.
Explanation / Answer
H0:P=0.5
H1:P>0.5 (claim)
P^ = 22/36 = 0.611
test statistics,
z = (0.611 - 0.5)/sqrt(0.5*0.5/36)
= 0.111/sqrt(0.25/36)
= 0.111/sqrt(0.0069)
= 0.111/0.0830
= 1.3373
P-Value: 0.09487
From the table of Normal Distribution, p-value = 0.09487. Assuming that you're using an 0.05 significance level, p-value > 0.05, so H0 is not rejected.