Use https://www.stapplet.com/SRIS/prop.html to answer  During the 2013-2014 NBA regular season, Lebron James attempted 306 3-point shots and made 116 of
them, for a 37.9% success rate. In the playoffs, he attempted 86 3-point shots and made 35 of them, for
a success rate of 40.7%. Does Lebron perform better in the playoffs, or is it possible that this difference
in the proportion of success could reasonably happen by random chance? Use the applet to run a
simulation with 100 trials.
a. Run the simulation and generate a dot plot using either proportions or the number of
successful shots to generate the dot plot. Take a screenshot and attach it here:
b. Use the counter at the bottom to count the number of dots that represent greater than his
performance

To assess whether LeBron James performs better in the playoffs or if the difference in his three-point shooting percentages could reasonably occur by random chance, we can use the **SRiS applet** for proportions.

Here are the steps to complete this analysis:

1. **Input the dataTo assess whether LeBron James performs better in the playoffs or if the difference in his three-point shooting percentages could reasonably occur by random chance, we can use the **SRiS applet** for proportions.

Here are the steps to complete this analysis:

1. **Input the **
   - **Regular season**: LeBron made 116 out of 306 attempts, which is 37.9%.
   - **Playoffs**: LeBron made 35 out of 86 attempts, which is 40.7%.
   
2. **Simulate the differences**:
   - Using the applet, input the number of attempts and success rates for both the regular season and the playoffs. Set the number of trials to **100**.

3. **Dot plot generation**:
   - The applet will simulate 100 trials based on LeBron's performance and generate a dot plot of the differences in proportions between the regular season and playoffs. The plot will visually display whether the observed difference is unusual.

4. **Count the dots**:
   - After running the simulation, use the counter at the bottom of the dot plot to determine how many dots represent a performance greater than his actual playoff performance (40.7%). If the number of dots is low, it suggests that the observed improvement is unlikely due to random chance.

5. **Interpretation**:
   - If few dots represent a performance greater than the playoffs, it suggests that LeBron indeed performed better during the playoffs. Otherwise, if many dots exceed this threshold, the difference could reasonably be due to random variation.

You can run the simulation directly on the applet [here](https://www.stapplet.com/SRIS/prop.html) to verify the results.

Do you need help running the applet, or would you like to ask any follow-up questions?

### Follow-up questions:
1. What factors might affect a player's shooting percentage between regular season and playoffs?
2. How can we calculate confidence intervals for the difference in LeBron's performance?
3. What other statistical tests could be used to assess differences in performance?
4. How does the number of trials impact the reliability of the simulation results?
5. What assumptions does this simulation make about LeBron's shooting?

### Tip:  
Always double-check if external factors (like fatigue, defense intensity) could influence performance beyond randomness.

Use https://www.stapplet.com/SRIS/prop.html to answer During the 2013-2014 NBA regular season, Lebron James attempted 306 3-point shots and made 116 of them, for a 37.9% success rate. In the playoffs, he attempted 86 3-point shots and made 35 of them, for a success rate of 40.7%. Does Lebron perform better in the playoffs, or is it possible that this difference in the proportion of success could reasonably happen by random chance? Use the applet to run a simulation with 100 trials. a. Run the simulation and generate a dot plot using either proportions or the number of successful shots to generate the dot plot. Take a screenshot and attach it here: b. Use the counter at the bottom to count the number of dots that represent greater than his performance

Learn how to analyze whether the difference in Lebron James' 3-point success rates between the 2013-2014 regular season (37.9%) and playoffs (40.7%) could be due to random chance. Follow a simulation with 100 trials using the SRIS applet, generate a dot plot, and interpret the results. Suitable for Grades 10-12.

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