A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 45%.To test the claim,the hypotheses: $H _ { 0 } : p = 0.45 , H _ { a } : p \neq 0.45$
,should be used.

Question

A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 45%.To test the claim,the hypotheses: $H _ { 0 } : p = 0.45 , H _ { a } : p \neq 0.45$ 
,should be used.

Quizplus · Accepted Answer

The correct hypotheses should be $H_0: p \leq 0.45$ and $H_a: p > 0.45$ because the professor is refuting the claim that the proportion is at most 45%, suggesting it is greater.

A Professor of Statistics Refutes the Claim That the Proportion H0:p=0.45,Ha:p≠0.45H _ { 0 } : p = 0.45 , H _ { a } : p \neq 0.45H0​:p=0.45,Ha​:p=0.45

A Professor of Statistics Refutes the Claim That the Proportion $H _ { 0 } : p = 0.45 , H _ { a } : p \neq 0.45$