## Related questions with answers

A recent study of perfect pitch tested students in American music conservatories. It found that 7% of 1700 non-Asian and 32% of 1000 Asian students have perfect pitch. A test of the difference in proportions resulted in a P-value of < 0.0001. a) What are the researchers’ null and alternative hypotheses? b) State your conclusion. c) Explain in this context what the P-value means. d) The researchers claimed that the data prove that genetic differences between the two populations cause a difference in the frequency of occurrence of perfect pitch. Do you agree? Why or why not?

Solution

VerifiedLets, $p_1$ proportion non-Asian who have perfect pitch, $p_2$ proportion Asian students who have perfect pitch, Hipoteses are,

$\begin{aligned} H_0:\,\,p_1-p_2=0\\ H_A:\,\,p_1-p_2<0 \end{aligned}$

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