solution

a.      
Describe what the symbol π stands for in this context.

 b. State your null and alternative
hypotheses.

 c. If the subjects in these
studies have no psychic ability, approximately what proportion will identify
the correct image? Is this the null hypothesis or the alternative hypothesis?
Butts (1995) cites research from Bam and Honor ton (1994) that analyzed 329
Ganzfeld sessions (http://www.ics.uci. eddo/~juts/air.pdf).

 d. Use an applet to simulate
1,000 repetitions of this study, assuming the null hypothesis to be true.
Sketch a labeled graph of the results.

 e. Butts reported that Bam and
honor ton found a total of 106 “hits” in the 329 sessions. Does this result
provide very strong evidence against the null hypothesis? Use the simulation
that you carried out in part (d) to find and report a p-value. Based on this
p-value, summarize your conclusion in the context of this study and explain
your reasoning for having arrived at this conclusion. Be sure that you have
used the 3S strategy for assessing the strength of evidence for the research
conjecture.

 f. Now carry out the same analysis,
only instead of simulating the null, use the theory-based (normal
approximation) approach for that null distribution. How does the p-value you
found using the theory-based approach compare to the one you found using
simulation? Does this surprise you? Why or why not?

 
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