Question

Birdie Bogey Double Bogey Par Strokes Round 2 3 364 198 654 391 94 62 1,653 824 346 731 113 1,604 196 396 53 832

The accompanying table summarizes the performance of golfers in a tournament. The table shows the number of holes in each rou(c) These data exclude occasions when players scored better than a birdie on a hole (19 made eagles, for example). Should we

(e) Regardless of your answer to part (d) compute x2 with a p-value. How would you interpret these values, given your answer

Find the corresponding p-value. p-value = (Round to three decimal places as needed.) Interpret these values, keeping your ans

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Answer #1

(a) Here large value of X2 indicate the percentage of holes scored better or worse than par different among rounds because half could be eliminated after two rounds, placement of holes etc. Option A is correct here.

(b) here option B is correct here.

(c) Here option C is correct here.

(d) Yes, all conditions are satisfied here.

(e) Here option B is correct here.

Observed table

Round
1 2 3 4 Total
Birdie 346 364 198 196 1104
Bogey 731 654 391 396 2172
Double Bogeey 113 94 62 53 322
Par 1604 1653 824 832 4913
Total 2794 2765 1475 1477 8511

Expected Table

Round
1 2 3 4 Total
Birdie 362.4223 358.6606 191.3289 191.5883 1104
Bogey 713.0264 705.6257 376.4188 376.9292 2172
Double Bogeey 105.7065 104.6093 55.80425 55.87992 322
Par 1612.845 1596.104 851.4481 852.6026 4913
Total 2794 2765 1475 1477 8511

Chi-square value

Round
1 2 3 4 Total
Birdie 0.744135 0.079489 0.232605 0.101588 1.157817
Bogey 0.453067 3.777086 0.56483 0.964896 5.75988
Double Bogeey 0.503235 1.075983 0.687892 0.148424 2.415534
Par 0.048505 2.028127 0.884845 0.49785 3.459327
Total 1.748942 6.960686 2.370172 1.712758 12.79256

X2 = 12.79256

Degree of freedom = dF = (4-1) * (4-1) = 9

p - value = CHIINV(12.79256, 9) = 0.1722

The p value is valid and it losely confirms the similarlty of the percentages.

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