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?
$h_0:\sigma = 4.2$
$h_1:\sigma \
eq 4.2$
choose the correct answer below
two-tailed
right-tailed
left-tailed

Explanation:

In hypothesis testing, the form of the alternative hypothesis \(H_1\) determines the type of test. If \(H_1:\sigma
eq4.2\), it means we are looking for deviations in both directions (less than or greater than 4.2). A two - tailed test checks for significance in both tails of the distribution. The parameter \(\sigma\) represents the population standard deviation.

Answer:

Two - tailed. The parameter being tested is the population standard deviation (\(\sigma\)).