Looking at the above conditional probabilities, a player has higher percentage of making a hit after making a miss (or last several misses) and in comparison a player has a lower chance of making a hit after making their last hit.
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The probability of a hit given a hit is 40.76%, but the probability of a hit given several previous hit remains constant at 50%. Hence there is no evidence of significant positive correlation between successive shots.
Given a player has made one or two hits; the other competing team will obviously intensify their defensive mechanism on the particular player and hence take away the players potential successive hits. A team’s defensive strategy is probably a major factor responsible for the negative correlation between successive hits.
There is evidence of existence of hot hand. The Z statistic reported above test the significance of the variation between the expected and the observed number of runs. There always a significant difference between the expected value and observe value for individual player’s. Run tests performed on each player within individual games reveal compelling results.
Placing into consideration both the 76ers and their competitors, data obtained of 727 individual players game records presented more than two runs. When the observed number of runs and expected number of runs are compared there is no sufficient to provide any basis for rejecting the hot hand hypothesis. Clearly 13.55% calculated is less than 13.6% tabulated therefore we accept the null
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