Australia is the first country to make wearing helmets while cycling mandatory. Mandatory Helmet Legislation (MHL) was first introduced in Victoria in July 1990 and the remaining Australian states, Australian Capital Territory and Northern Territory by July 1992.

Let 1 and 2be the current mean monthly proportion of bicycle-related head injuries in the Australian states and territories of South Australia and Victoria respectively. Data collection were carried out independently in both South Australia and Victoria. First, 29 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in South Australia. And then, 29 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Victoria. The data is stored in the file injury.txt. Assuming proportions of bicycle-related head injuries within each Australian state or territory are independent and identically distributed N(1,2) and N(2,2) variables respectively, complete the exercises below.

In Injurt.txt

South Australia

15.55 22.85 17.17 22.69 19.74 21.84 12.74 27.56 11.71 14.54 20.83 14.95 20.04 28.84 22.46 29.87 22.42 28.75 19.38 22.06 16.93 21.94 21.66 21.22 21.05 21.54 30 14.63 17.46

Victoria

12.32 30.28 26.24 43.28 21.02 17.2 16.64 23.96 27.45 31 18.5 24.34 26.91 26.97 21.01 20.88 26.01 26.19 20.74 26.14 21.67 34.45 28.24 21.93 17.61 18.72 21.58 20.89 22.84

Can u make code for R studio for calculate those question

Compute the absolute value of the test statistic for this hypothesis test.

Compute the P-Value for this hypothesis test

Compute the absolute value of the critical value for a two-sided 95% CI for 12 the difference in mean proportions of bicycle-related head injuries.

Compute the lower and upper bounds for a two-sided 95% CI for, 12, the difference in mean propoetions of bicycle-related head injuries between South Australia and Victoria.

Compute the absolute value of the critical value for a two-sided 97% CI for 12, the difference in mean proportions of bicycle-related head injuries.

Compute the lower and upper bounds for a two-sided 97% CI for, 12, the difference in mean propoetions of bicycle-related head injuries between South Australia and Victoria.