Question

Does NBA player Carmelo Anthony of the Denver Nuggets have a greater ABILITY to shoot at home than on the road? State the null and alternative hypotheses that we should test. Calculate the value of the test statistic difference in shifting percentage.

Answer 1

The null hypothesis would be that there is no difference in Carmelo Anthony's shooting ability at home compared to on the road, while the alternative hypothesis would state that he has a greater ability to shoot at home. The test statistic difference can be calculated by subtracting the shooting percentage on the road from the shooting percentage at home.

Step-by-step explanation:

1. The null hypothesis for this question would be: There is no difference in the ability of NBA player Carmelo Anthony to shoot at home compared to on the road. The alternative hypothesis would be: that NBA player Carmelo Anthony has a greater ability to shoot at home than on the road.
2. To test this hypothesis, we can calculate the test statistic difference in shooting percentage. This can be done by subtracting the shooting percentage on the road from the shooting percentage at home.
3. For example, if Carmelo Anthony has a shooting percentage of 45% at home and 40% on the road, the test statistic difference would be 45% - 40% = 5%.

The null hypothesis is a fundamental concept in statistical hypothesis testing. It is a statement or assumption that there is no significant difference, effect, or relationship between groups or variables being studied. The null hypothesis serves as a default position that researchers aim to either reject or fail to reject based on the evidence gathered from a statistical analysis.

The process of hypothesis testing involves comparing the observed data to what would be expected under the assumption of the null hypothesis. If the observed data significantly deviates from what would be expected under the null hypothesis, researchers may reject the null hypothesis in favor of an alternative hypothesis (

In summary, the null hypothesis is a statement of no effect or no difference, and hypothesis testing is a statistical method used to evaluate whether the evidence supports or contradicts this assumption. It's important to note that failing to reject the null hypothesis doesn't prove it true; it simply means that there isn't enough evidence to suggest a significant difference or effect based on the data at hand