Question

A study claims that the mean age of online dating service users is 40 years. Some researchers think this is not accurate and want to show that the mean age is not 40 years. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ. Select the correct answer below: H0: μ≥40; Ha: μ<40 H0: μ≤40; Ha: μ>40 H0: μ≠40; Ha: μ=40 H0: μ=40; Ha: μ≠40

Answer 1

Answer: $H_0:\mu=40$

$H_0:\neq40$

Step-by-step explanation:

• A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
• An alternative hypothesis says that there is a statistical significance  between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. $\mu=40$, since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

$\mu\neq40$

⇒ Null Hypothesis : $H_0:\mu=40$

Alternative hypothesis : $H_0:\neq40$