Statistics students were asked to randomly pick a whole number between 1 and 10. 62 out of 101 students picked a number greater then 5. If they truly picked random numbers, we would expect half the students would pick a number greater then 5 in the long run. Do statistics students really randomly choose a number or not? Test by answering a - e.

a) Stating the hypothesis in words and in symbols.

b) Give the value of the statistic.

c) Are the validity conditions met? explain.

d) Use the one-proportion applet (http://www.isi-stats.com/isi/applets.html) to give both a simulation based and theory based mean.

e) Write out a conclusion in the context to the research question.

Note: hypothesis symbols have something to do with Ha and H0 and we should calculate something with p/z for d