b4 A coin is tossed until a head occurs and the number X of tosses is recorded. After repeating the experiment 256 times
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b4 A coin is tossed until a head occurs and the number X of tosses is recorded. After repeating the experiment 256 times
b4 A coin is tossed until a head occurs and the number X of tosses is recorded. After repeating the experiment 256 times the following results were obtained: Îi 1 2 3 4 5 6 7 8 ni 128 64 32 14 10 3 4 1 where fi is the number of tosses needed to obtain the first head and ni is the number of experiments in which ; occurs. Test the hypothesis at the 0.05 significance that the observed distribution of X is geometric with parameter p= }. Proceed through the following steps. a) State and rigorously formulate the hypotheses H, and H. b) Form an expanded table. c) Find q and critical value c. d) Interpret your result. e) Find the P-value and interpret your result. Explain your steps. (40 pts)
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