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Tasmania Western_Australia 27082706272422893089275727.pdf

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This document provides data on monthly bicycle-related head injury rates in percentages from January 2018 to December 2022 in Tasmania and Western Australia. It requires calculating the critical values and confidence intervals for the difference in mean injury rates between the two states/territories at the 95% and 75% confidence levels. Australia was the first country to mandate bicycle helmets and such legislation was introduced in Victoria in 1990 and other states/territories by 1992.

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Tasmania Western_Australia 27.0827.0627.2422.8930.8927.5727.328.4629.4320.5234.7818.47 16.0235.2524.0429.0221.1729.2819.8728.9324.0237.9138.4533.1832.4521.6222.4422.1631.84 35.4931.7929.3427.0517.8721.292427.7825.0724.7431.222737.3625.9728.0822.9621.7836.2 30.4524.9726.93283830.4334.9827.1625.9633.3234.3423.9129.3439.8526.4719.7721.4931.29 28.8937.1629.0129.9423.1530.2124.8234.88An estimate of the difference in the mean proportions of bicycle-related head injuries in Tasmania and Western Australia (in units percentage), is required. Compute the absolute value of the critical value for a two-sided 95%Cl for 12, the i) difference in mean proportions of bicyclerelated head injuries. Write your answer to 3 decimal places. Compute the lower and upper bounds for a two-sided 95%Cl for, 12, the ii) difference in mean propoetions of bicyclerelated head injuries between Tasmania and Western Australia. Write your answer to 3 decimal places. Compute the absolute value of the critical value for a two-sided 75%Cl for 12, the iii) difference in mean proportions of bicyclerelated head injuries. Write your answer to 3 decimal places. Compute the lower and upper bounds for a two-sided 75%Cl for, 12, the difference in mean propoetion of bicycle-related head injuries between Tasmania and Western Australia. Write your answer to 3 decimal places.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 2 be the current mean monthly proportion of bicycle-related head injuries in the Australian states and territories of Tasmania and Western Australia respectively. Data collection were carried out independently in both Tasmania and Western Australia. First, 38 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Tasmania. And then, 38 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Western Australia. 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.

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  • 1. Tasmania Western_Australia 27.0827.0627.2422.8930.8927.5727.328.4629.4320.5234.7818.47 16.0235.2524.0429.0221.1729.2819.8728.9324.0237.9138.4533.1832.4521.6222.4422.1631.84 35.4931.7929.3427.0517.8721.292427.7825.0724.7431.222737.3625.9728.0822.9621.7836.2 30.4524.9726.93283830.4334.9827.1625.9633.3234.3423.9129.3439.8526.4719.7721.4931.29 28.8937.1629.0129.9423.1530.2124.8234.88An estimate of the difference in the mean proportions of bicycle-related head injuries in Tasmania and Western Australia (in units percentage), is required. Compute the absolute value of the critical value for a two-sided 95%Cl for 12, the i) difference in mean proportions of bicyclerelated head injuries. Write your answer to 3 decimal places. Compute the lower and upper bounds for a two-sided 95%Cl for, 12, the ii) difference in mean propoetions of bicyclerelated head injuries between Tasmania and Western Australia. Write your answer to 3 decimal places. Compute the absolute value of the critical value for a two-sided 75%Cl for 12, the iii) difference in mean proportions of bicyclerelated head injuries. Write your answer to 3 decimal places. Compute the lower and upper bounds for a two-sided 75%Cl for, 12, the difference in mean propoetion of bicycle-related head injuries between Tasmania and Western Australia. Write your answer to 3 decimal places.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 2 be the current mean monthly proportion of bicycle-related head injuries in the Australian states and territories of Tasmania and Western Australia respectively. Data collection were carried out independently in both Tasmania and Western Australia. First, 38 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Tasmania. And then, 38 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Western Australia. 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.