Since the null hypothesis (H₀) is rejected, we can conclude that the mean FEV₁ in the high-pollution community is less than 2.1 liters.
A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
For this clinical trial (study), the appropriate null and alternative hypotheses would be given by:
H₀: p = 2.1
H₁: p ≠ 2.1
Also, the hypothesis test is a t-test.
The test statistic can be calculated by using this formula:
[tex]t=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }[/tex]
Where:
Substituting the given parameters into the formula, we have;
[tex]t=\frac{2.09\;-\;2.1}{\frac{0.4}{\sqrt{69} } }\\\\t=\frac{-0.01}{\frac{0.4}{8.3066 } }\\\\[/tex]
t = -0.01/0.0482
t = -0.208.
For the p-value, we have:
P(Z < t) = P(Z < -0.208)
P(Z < -0.208) = 0.8359.
Therefore, the p-value (0.8359) is less than α = 0.01. Based on this, we should reject the null hypothesis (H₀).
Since the null hypothesis (H₀) is rejected, we can conclude that the mean FEV₁ in the high-pollution community is less than 2.1 liters.
Read more on null hypothesis here: https://brainly.com/question/14913351
#SPJ1
