The Golden State Warriors famously broke the NBA’s single season wins record with 73 wins and 9 losses. Treat these games as a random sample. Use the normal approximation to the binomial to test whether or not their true winning percentage was greater than .695 at α = 0.05 (you may do a 1-sided test)
Here claim is that true winning percentage was greater than 0.695
So hypothesis is vs
Now here
Also
Hence test statistics is
Hence P value is
So we reject the null hypothesis
Hence we have sufficient evidence to support the claim that true winning percentage was greater than 0.695.
The Golden State Warriors famously broke the NBA’s single season wins record with 73 wins and...
2. Consider two basketball teams. Team A has a record of 73 wins and 9 losses, and team B has a record of 57 wins and 25 losses. Treat these records as a random sample. Test whether there is a significant difference between the true winning percentages between the two teams at the alpha=.05 level.
The University of California, Berkeley (Cal) and Stanford University are athletic archrivals in the Pacific 10 conference. Stanford fans claim Stanford's basketball team is better than Cal's team; Cal fans challenge this assertion. In 2004, Stanford University's basketball team went nearly undefeated within the Pac 10. Stanford's record, and those of Cal and the other eight teams in the conference, are listed in In all, there were 89 games played among the Pac 10 teams in the season. Stanford won...