A formal hypothesis test is to be conducted using the claim that the mean AC thermostat setting in restaurants is equal to $74 ^ { \circ } \mathrm { F }$. What is the null hypothesis and how is it denoted?
A) $H _ { 0 } : p

Question

A formal hypothesis test is to be conducted using the claim that the mean AC thermostat setting in restaurants is equal to $74 ^ { \circ } \mathrm { F }$. What is the null hypothesis and how is it denoted?
A) $H _ { 0 } : p < 74 ^ { \circ } \mathrm { F }$
B) $H _ { 0 } : p = 74 ^ { \circ } \mathrm { F }$
C) $H _ { 0 } : \mu \neq 74 ^ { \circ } \mathrm { F }$
D) $H _ { 0 } : \mu = 74 ^ { \circ } \mathrm { F }$

Quizplus · Accepted Answer

The null hypothesis, denoted by $H_0$, is the statement being tested in a hypothesis test. In this case, the claim is that the mean AC thermostat setting in restaurants is equal to $74 ^ { \circ } \mathrm { F }$, so the null hypothesis is $H _ { 0 } : \mu = 74 ^ { \circ } \mathrm { F }$. Options A and B are incorrect because the symbol p is typically used to denote a proportion, not a mean. Option C is incorrect because the claim is that the mean is equal to a specific value, not that it is not equal to that value.

A Formal Hypothesis Test Is to Be Conducted Using the Claim