A random sample of 100 board games published in 2017 had 72 games that took no more than 60 minutes to play on average. An independent random sample of 100 board games published in 2016 had 65 games that took no more than 60 minutes to play on average. At the 1% significance level, test the claim that the proportion of games that took no more than 60 minutes to play on average in 2017 was greater than the proportion of games for 2016.

Include:

• Requirement check
• Correct test type (one sample z, one-sample t, one proportion z, two proportion z)
• Null and alternative hypotheses
• Test statistic and p-value
• Conclusion in the context of the problem