A sample of 70 college students were give a special training program designed to
ID: 3249006 • Letter: A
Question
A sample of 70 college students were give a special training program designed to improve their speed reading skills. One month after completing the course, the students were contacted and asked whether the skills learned in the program were effective. A total of 42 responded yes. At the 0.05 significance level can we conclude the program was effective? State the null and alternate hypothesis State the decision rule Compute the value of the test statistic What is your decision regarding the null hypothesis?Explanation / Answer
null hypothesis:p=0.5
alternate hypothesis:p>0.5
decison rule :reject Ho: if z>1.645
here std error =(p(!-p)/n)1/2 =0.0598
phat=42/70=0.6
hence test stat z=(phat-p)/std error=(0.6-0.5)/0.0598=1.6722
as test stat is higher then critical value we reject null hypothesis and conclude that training programme was effective.