Question

the null and alternative hypotheses are given. determine whether the hypothesis test is left - tailed, right - tailed, or two - tailed. what parameter is being tested?

h0:σ = 4.2
h1:σ ≠ 4.2

choose the correct answer below

two - tailed
right - tailed
left - tailed

what parameter is being tested?

σ
p
μ

Explanation:

• For hypothesis tests:
• A left - tailed test has \(H_1:\theta<\theta_0\) (where \(\theta\) is the parameter).
• A right - tailed test has \(H_1:\theta>\theta_0\).
• A two - tailed test has \(H_1:\theta

eq\theta_0\). Here, \(H_1:\sigma
eq4.2\), so it's a two - tailed test.

• The parameter in \(H_0:\sigma = 4.2\) and \(H_1:\sigma

eq4.2\) is \(\sigma\) (the population standard deviation).

Answer:

• The test is Two - tailed.
• The parameter being tested is \(\sigma\).