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Let's go through each question step-by-step.

### Question 4
In this question, we need to count the number of streaks of 3 or more consecutive "Y"s (made shots). Here's the string given:

\[
\text{N Y Y Y N N N N N Y Y Y Y Y Y Y Y Y Y Y Y N N N}
\]

To solve this:

1. Identify and underline every streak of 3 or more consecutive "Y"s.
2. Count how many such streaks are present in the sequence.

Analyzing the sequence:

- The first streak of "Y"s is "Y Y Y," which is exactly 3 in length.
- The next significant streak of "Y"s is "Y Y Y Y Y Y Y Y," which has 8 consecutive "Y"s.

Therefore, there are two streaks of 3 or more "Y"s in this sequence.

**Answer for Question 4:**  
The number of streaks of 3 or more is **2**.

---

### Question 5
In this question, we are asked to interpret a p-value of approximately 33% for the hypothesis test.

The 10% level of significance (alpha = 0.10) is our threshold for determining if results are statistically significant. If the p-value is less than or equal to the significance level, we would reject the null hypothesis and consider the result statistically significant.

Here:
- The p-value is **33% (0.33)**, which is much higher than the 10% significance level.
- Since **0.33 > 0.10**, we **do not reject the null hypothesis**.

**Answer for Question 5:**  
No, the results are not statistically significant at the 10% level of significance. A p-value of 33% suggests that the observed outcome could reasonably occur by chance, implying no strong evidence against the null hypothesis of independence in the outcomes of Thompson’s shots.

---

Would you like further details on any part of this solution? Here are some related questions to explore:

1. What are the implications of a p-value in hypothesis testing?
2. How do different significance levels (like 5% or 1%) affect hypothesis testing results?
3. What is a "streak" in statistics, and why might it be relevant in sports analysis?
4. How do we calculate and interpret p-values in practical scenarios?
5. Could a higher or lower p-value in a similar study influence the interpretation of the results?

**Tip:** In hypothesis testing, always compare the p-value to the chosen significance level to decide whether to reject or accept the null hypothesis.

One test statistic we can use to test these hypotheses is the number of streaks of 3 or more in the list of outcomes below (Y = made shot and N = missed shot) and find the value of the test statistic. Given the sequence N Y Y Y N N N N N Y Y Y Y Y Y Y Y Y Y Y N N N, determine the number of streaks of 3 or more. Additionally, given a p-value of approximately 33%, determine if the results are statistically significant at the 10% level of significance.

Learn how to identify streaks of 3 or more made shots in a sequence and analyze the statistical significance of results based on p-value. This problem involves understanding hypothesis testing, interpreting p-values, and evaluating results against a 10% significance level. Suitable for high school students.

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