Research at a major university has shown that 50% of students
change their major area of study after their first year of
university. A random sample of 110 students showed that 52 students
had changed their major area of study after the first year. Perform
a test of hypothesis to determine whether the proportion of
students changing their major is less than 50%. The level of
significance is 4%. Use the proportion variable, a one-sided test,
and a level of significance of 4%.
a) Set up the null and alternative hypotheses using a one-sided
test.( 2 points)
b) Set up a simple diagram labeling the acceptance and rejection
regions. Show the critical value as well. ( 3 points)
c) Evaluate the proper test statistic. ( 2 points)
d) Will you accept or reject the null hypothesis? Explain your
answer. (1 p