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fill in the blank. the ____ hypothesis is a statement that the value of a population parameter is equal to some claimed value. the hypothesis is a statement that the value of a population parameter is equal to some claimed value. claim null alternative statistic
In hypothesis testing, the null hypothesis ($H_0$) is specifically defined as a statement that assumes the value of a population parameter is equal to a claimed value. For example, if we are testing the mean height of a population, the null hypothesis might be $H_0:\mu = \mu_0$ (where $\mu_0$ is the claimed value of the population mean). The alternative hypothesis ($H_1$ or $H_a$) is a statement that contradicts the null hypothesis (e.g., $H_1:\mu
eq\mu_0$, $H_1:\mu > \mu_0$, or $H_1:\mu < \mu_0$). A claim can be either the null or the alternative hypothesis depending on the context. A statistic is a value calculated from a sample (e.g., sample mean $\bar{x}$, sample proportion $\hat{p}$), not a hypothesis.
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