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

a. Stating the hypotheses 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 to give both a simulation-based and theory-based p-value. 

e. Write out a conclusion in the context of the research question.