i need help with this please i dont know how to finish it im trying to understan

Question

i need help with this please i dont know how to finish it im trying to understand it thank you

8. (*16 points ) In a study of 11,000 car crashes, t was found that 5720 of them occurred within 5 miles of home. At the 0.05 level of significance, test the claim that more than half of all crashes occur within 5 miles af home 52- .50 Assumptions Claim P.5o PR 4.20 Test Statistic .025 o.a25 CIRCLE left-tailedrehttaledor two-taled 1.16 P-Value nitial Conclusian (circle one) reject , or fail to reject H, Rationale for conciusion Final conclusion writhen in terms of this problem

Explanation / Answer

Ho: p= 0.50
Ha: p > 0.50
TS = (p^ - p)/sqrt(pq/n)
p^ = X/n = 5720/11000 =0.52
TS =   4.20
clearly this is right tailed test

p-value = P(Z > 4.20) = 0.000

we reject Ho
As p-value < 0.05

conclusion
there is significant evidence that more than half of all crashes occurs within 5 miles of home

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