Whenever hypotheses are established such that the alternative hypothesis is "μ 8", where μ is the population mean, the p-value is the probability of observing a sample mean greater than the observed sample mean assuming that μ = 8.

Question

Whenever hypotheses are established such that the alternative hypothesis is "μ > 8", where μ is the population mean, the p-value is the probability of observing a sample mean greater than the observed sample mean assuming that μ = 8.

Quizplus · Accepted Answer

The p-value in this context measures the probability of obtaining a result at least as extreme as the observed sample mean, under the assumption that the null hypothesis (μ = 8) is true. Since the alternative hypothesis is "μ > 8", it implies a one-tailed test where we are interested in the probability of observing a sample mean greater than the observed, assuming the null hypothesis is correct.

Whenever Hypotheses Are Established Such That the Alternative Hypothesis Is