Bob conducts a hypothesis test, and hopes to show that those who self- identify
ID: 3133725 • Letter: B
Question
Bob conducts a hypothesis test, and hopes to show that those who self- identify as atheists have an average IQ higher than 100 (the average IQ of the general opulation). Bob conducts his hypothesis test and gets a P -value of 0 : 0001 ; he states: I have sufficient evidence to conclude that those who self-identify as atheists have an average IQ which is higher than 100; in fact, because my P -value is so small, I can conclude that those who self-identify as atheists tend to score much higher on average than those who do not. Explain what is wrong with Bob’s reasoning.
Explanation / Answer
Hypothesis:
Null hypothesis H0: autheists have an average IQ is 100.
Alternative hypothesis H1:autheists have an average IQ higher than 100.
P-value: given p-value at 0.05 significance level is 0.0001.
Conclusion: Since, P-value(0.0001)<0.05, sowe regect null hypothesis H0.
Hence, conclude that those who self-identify as atheists tend to score much higher on average IQ than 100.