Questions: The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: μ=0.86 H1: μ>0.86 Right-tailed Left-tailed Two-tailed

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested.

H0: μ=0.86
H1: μ>0.86

Right-tailed
Left-tailed
Two-tailed

Transcript text: The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. \[ \begin{array}{l} \mathrm{H}_{0}: \mu=0.86 \\ \mathrm{H}_{1}: \mu>0.86 \end{array} \] Right-tailed Left-tailed Two-tailed

Solution

Solution Steps

Step 1: Identify the Null and Alternative Hypotheses

The null hypothesis \( \mathrm{H}_{0} \) is \( \mu = 0.86 \), and the alternative hypothesis \( \mathrm{H}_{1} \) is \( \mu > 0.86 \).

Step 2: Determine the Type of Hypothesis Test

The alternative hypothesis \( \mathrm{H}_{1} \) states that \( \mu > 0.86 \), which indicates that the test is right-tailed. This is because the alternative hypothesis is concerned with values greater than the null hypothesis value.

Step 3: Identify the Parameter Being Tested

The parameter being tested is the population mean \( \mu \).