Final answer:
The question involves calculating an unknown value from the function h(x), determining the distribution for hypothesis testing, calculating the p-value, and deciding whether to reject the null hypothesis based on the alpha level of 0.05. Sketching a graph can help visualize the test statistic and p-value in relation to the chosen distribution. Relevant formulas and understanding of statistics are necessary to perform these calculations.
Step-by-step explanation:
When reviewing the table of values for the function h(x), we start by understanding the given data points in the table. If we are to calculate ox, we would need to see the explicit function h(x) to find the value of ox. The formula setup would depend on the actual function of h(x) which should be provided.
In statistical analysis, the correct distribution for a hypothesis test is essential. It might be a normal distribution, t-distribution, chi-square distribution, etc., depending on the characteristics of the data and the sample size. If the p-value is required, we typically compare a test statistic calculated from the sample data to a critical value from the appropriate distribution to find the p-value. This p-value represents the probability of observing the test statistic or more extreme values assuming the null hypothesis is true.
To establish whether there is enough evidence to reject the null hypothesis in the context of the pre-conceived alpha level (α = 0.05), we compare the p-value to α. If p-value < α, we reject the null hypothesis, suggesting that the sample provides enough evidence that the population parameter is different from the hypothesized value.
To assist in understanding the concept, one can sketch a graph showing the distribution, mark the test statistic on the horizontal axis, and shade the region corresponding to the p-value.