One of the authors’ cell phones recently became able to state a random number when asked. The author wondered whether the phone’s method of picking a random number was truly random. He asked his phone to pick a random number between 1 and 5 fifty times and the results are shown in the following table. 

a. What are the expected frequencies for each value, assuming the five values are equally distributed in the long run? (What we would expect for the outcomes if the phone method of picking a number was truly random.) 

b. Write out the hypotheses. 

c. Calculate the test statistic and appropriate p-value. 

d. State your conclusion in the context of the research question. 

e. You should have obtained a large p-value. Does this mean you have strong evidence that the phone’s method of picking a number is truly random? 

f. The sample size is not huge here. Suggest another way to investigate these outcomes in which it would be more valid to use the theory-based test.

Transcribed Image Text:

Value Observed Count 1 2 3 9 13 4 7 11 5 10