Question

test the claim about the population mean, μ, at the given level of significance using the given sample statistics. claim: μ = 50; α = 0.02; σ = 3.73. sample statistics: x̄ = 48.6, n = 77 identify the null and alternative hypotheses. choose the correct answer below. a. h₀: μ = 50 hₐ: μ > 50 b. h₀: μ = 50 hₐ: μ < 50 c. h₀: μ = 50 hₐ: μ ≠ 50 d. h₀: μ < 50 hₐ: μ = 50 e. h₀: μ > 50 hₐ: μ = 50 f. h₀: μ ≠ 50 hₐ: μ = 50

Explanation:

The null hypothesis \(H_0\) is a statement of equality. The claim is \(\mu = 50\), so \(H_0:\mu = 50\). The alternative hypothesis \(H_a\) is the statement that must be true if \(H_0\) is false. Since we are just testing if the mean is different from 50 (no indication of direction like greater than or less than in the problem statement for a one - tailed test), \(H_a:\mu
eq50\).

Answer:

C. \(H_0:\mu = 50\), \(H_a:\mu
eq50\)