Home vs Road Wins -significance Test: For the NHL regular season, the Chicago Bl

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Home vs Road Wins -significance Test: For the NHL regular season, the Chicago Blackhawks won 27 out of 41 home games and won 19 out of 41 away games. Clearly the Blackhawks won a greater proportion of home games. Here we investigate whether or not they did significantly better at home than on the road. The table summarizes the relevant data. The p's are actually population proportions but you should treat them as sample proportions. The standard error (SE) is given to save calculation time if yo u are not using software. Data Summmary number of total number Proportion of wins (x) of games (n) | wins (2) 0.65854 Game Type Home 27 Road19410.46341 SE = 0.10961 The Test: Test the claim that the proportion of wins at home was significantly greater than on the road. Use a 0.05 significance level (a) Letting ph be the proportion of wins at home and pz be the proportion of wins on the road, calculate the test statistic using software or the formula -122 SE where is the hypothesized difference in proportions from the null hypothesis and the standard error places. se given with the data. Round your answer to 2 deci To account for hand calculations -vs- software, your answer must be within 0s of the true answer. (b) Use software or the z-table to get the P-value of the test statistic. Round to 4 decimal places p-value (e) What is the conclusion regarding the null hypothesis? O reject Ho O fail to reject H (d) Choose the appropriate concluding statement. O The data supports the claim that the proportion of wins at home was significantly greater than on the road. While the proportion of wins at home was greater than on the road, the difference was not great enough to be considered significant O we have proven that the Blackhawks always do better at home games we have proven there was no difference in the proportion of wins at home than wins on the road Additional Materials eBook

Explanation / Answer

Null Hypothesis: P1 - P2 < 0

Alternative Hypothesis: P1 - P2 > 0

Z= (0.65854-0.46341)/0.10961

Z= 0.19513/0.10961

Z= 1.7802

The P-Value is 0.037522 which is significant at p<0.05

conclusion reject null hypothesis H0.

d) data support the claim that the proportion of wins at home is significantly greater than on the road.

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