Question
n recent tennis tournament, women playing singles matches used challenges on 135 calls made by the line judges. Among those challenges, 36 were found to be successful with the call overtu
Construct a
o. Compare the results from part (a) to this
more successful than the other?
a. Construct a
Construct a
o. Compare the results from part (a) to this
more successful than the other?
a. Construct a
Upstudy AI Solution
Tutor-Verified Answer
Answer
The
Solution
Let the sample proportion be
The standard error (SE) is given by
For a
The confidence interval is then
which gives
Expressed as percentages and rounded to one decimal place, the
Comparing with the
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To construct a
Next, we calculate the standard error (SE) for the sample proportion:
Now, we find the critical value (z*) for a
Using this, we can construct the confidence interval:
Finally, we calculate the confidence interval:
Rounding to one decimal place, the
Now, comparing this interval with the men’s
- The intervals overlap, bounding both men’s and women’s successful challenge rates between 22.1% and 34.8%. This suggests that while a higher proportion of successful challenges can be found in men’s matches (up to 38.8%), women also have a notable range of successful challenges (up to 34.8%). Overall, it indicates no strong evidence that one gender is significantly better than the other based solely on these intervals.
