Final answer:
The null hypothesis (H₀) states the population mean is 8.953 g, and the alternative hypothesis (H₁) states the mean is not 8.953 g. We use the p-value to decide whether to reject H₀, and if it's higher than 0.01, we do not reject the null hypothesis.
Step-by-step explanation:
To test the claim that the sample is from a population with a mean equal to 8.953 g using the Statdisk display at a significance level of 0.01, we begin by identifying the null and alternative hypotheses. The null hypothesis (H₀) asserts that there is no difference from the claimed population mean; therefore, H₀: μ = 8.953 g. The alternative hypothesis (H₁) is that the true population mean is not 8.953 g, represented as H₁: μ ≠ 8.953 g.
Next, we examine the provided p-value from the Statdisk output to make a decision. If the p-value is less than the significance level of 0.01, we reject the null hypothesis. Conversely, if the p-value is greater than 0.01, we do not reject the null hypothesis. Based on the information provided in the prompt, if "a < p-value, do not reject H₀", we conclude that the evidence is insufficient to reject the null hypothesis that the mean weight of Reese's Peanut Butter Cup Miniatures is 8.953 g.