What would be the null and alternate hypotheses for Apurva’s claim?H₀: μ = 70 and H₁: μ ≠ 70H₀: μ ≠ 70 and H₁: μ = 70H₀: μ ≤ 70 and H₁: μ > 70H₀: μ ≥ 70 and H₁: μ < 70
Question
What would be the null and alternate hypotheses for Apurva’s claim?H₀: μ = 70 and H₁: μ ≠ 70H₀: μ ≠ 70 and H₁: μ = 70H₀: μ ≤ 70 and H₁: μ > 70H₀: μ ≥ 70 and H₁: μ < 70
Solution
The null and alternate hypotheses for Apurva's claim would depend on the specifics of the claim, which are not provided in your question. However, here are the general interpretations of the options you've provided:
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H₀: μ = 70 and H₁: μ ≠ 70: This would be used if Apurva is claiming that the population mean is not 70. The null hypothesis states that the mean is 70, and the alternate hypothesis is that the mean is not 70.
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H₀: μ ≠ 70 and H₁: μ = 70: This is not a standard form for null and alternate hypotheses. Typically, the null hypothesis is a statement of no effect or status quo, which is usually represented by an equals sign.
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H₀: μ ≤ 70 and H₁: μ > 70: This would be used if Apurva is claiming that the population mean is greater than 70. The null hypothesis is that the mean is 70 or
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