Refer to the following data, Test the claim, at the 5% significance level, that the population proportion of Croatian players who spent any time in Zone 5 is greater than the proportion of French players who spent any time in Zone 5.

(a) State the null and alternative hypotheses.

(b) Find the critical value and the test statistic.

(c) Should H0 be rejected at the 5% significance level? Does it mean that the population proportion of Croatian players who spent any time in Zone 5 is greater than the proportion of French players who spent any time in Zone 5?

France

In Poss: Team in possession

Zone 1: 0-7 km/h

Zone 2: 7-15 km/h

Zone 3: 15-20 km/h

Zone 4: 20-25 km/h

Zone 5: >25 km/h

Name 1 LLORIS 2 PAVARD 4 VARANE 5 UMTITI 6 POGBA 7 GRIEZMANN 9 GIROUD 10 MBAPPE 13 KANTE 14 MATUIDI 21 HERNANDEZ 12 TOLISSO 15 NZONZI 18 FEKIR Time 98'29" 98'29" 98'29" 98'29" 98'29" 98'29" 84'22" 98'29" 57'32" 76'16" 98'29" 22'13" 40'57" 14'07" Distance covered (metres) Total 4,113 9,289 8,521 8,368 9,624 10,760 8,069 8,712 5,854 7,887 9,055 2,574 4,694 1,718 In Poss 1,152 2,489 2,234 2,062 2,501 3,132 2,290 2,588 1,446 2,157 2,318 628 1,206 409 Activity time spent Zone 1 Zone 2 Zone 3 Zone 4 Zone 5 94% 6% 74% 21% 2% 2% 1% 75% 21% 3% 1% 77% 19% 3% 1% 73% 21% 5% 1% 68% 24% 5% 2% 1% 73% 20% 4% 2% 1% 77% 19% 2% 1% 1% 66% 26% 6% 1% 1% 68% 24% 5% 2% 1% 74% 21% 2% 2% 1% 60% 31% 63% 30% 60% 29% 7% 5% 7% De 1% 1% 2% 3% 1% Croatia Name 23 SUBASIC 2 VRSALJKO 3 STRINIC 4 PERISIC 6 LOVREN 7 RAKITIC 10 MODRIC 11 BROZOVIC 17 MANDZUKIC 18 REBIC 21 VIDA 9 KRAMARIC 20 PJACA Time 98'29" 98'29" 84'25" 98'29" 98'29" 98'29" 98'29" 98'29" 98'29" 74'04" 98'29" 24'25" 14'04" Distance covered (metres) Total 3,633 10,366 7,501 10,123 8,769 9,670 9,272 11,645 8,897 7,442 8,495 2,818 1,630 Activity time spent In Poss Zone 1 Zone 2 Zone 3 Zone 4 Zone 5 1,335 4,595 3,262 4,872 3,731 4,495 4,326 5,419 3,881 3,600 3,584 1,557 910 97% 69% 75% 72% 20% 76% 20% 69% 24% 73% 21% 60% 77% 17% 73% 19% 74% 21% 3% 22% 6% 2% 1% 20% 3% 1% 1% 5% 2% 1% 3% 1% 5% 2% 5% 1% 2% 2% 1% 2% 1% 1% 30% 8% 3% 5% 4% 65% 26% 62% 29% 7% 2% 6% 2% 1%