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. et and be the current mean monthly proportion of bicycle-related head injuries in the Australian states and territories of Australian Capital Territory and Tasmania respectively. Data collection were carried out independently in both Australian Capital Territory and Tasmania. First, 27 months were selected at andom from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Australian Capital Territory. And then, 27 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injurie in percentage) were recorded in Tasmania. The data is stored in the file injun.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. Exercise 1 t is claimed that the mean proportions of bicycle-related head injuries in Australian Capital Territory and Tasmania are different. O One sample Z-test O Paired t-test O Two sample t-test O One sample t-test What is the appropriate hypothesis test to use in this situation? ) Compute the absolute value of the test statistic for this hypothesis test. Write your answer to 3 decimal places. ○ t(26) O t(54) Select the null distribution of the test statistic. That is, the distribution of the test statistic assuming Ho is true. O N(0,1) O t(27) ○t(52) v) Compute the P-Value for this hypothesis test. Write your answer to 3 decimal places. Select the appropriate statistical outcome for the test when a -0.05. Select the appropriate statistical outcome for the test when a -0.025 O Do not reject Ho O Accept Ho O Reject Ho O Accept Ho O Reject Ho O Do not reject Ho
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. et and be the current mean monthly proportion of bicycle-related head injuries in the Australian states and territories of Australian Capital Territory and Tasmania respectively. Data collection were carried out independently in both Australian Capital Territory and Tasmania. First, 27 months were selected at andom from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Australian Capital Territory. And then, 27 months were selected at random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injurie in percentage) were recorded in Tasmania. The data is stored in the file injun.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. Exercise 1 t is claimed that the mean proportions of bicycle-related head injuries in Australian Capital Territory and Tasmania are different. O One sample Z-test O Paired t-test O Two sample t-test O One sample t-test What is the appropriate hypothesis test to use in this situation? ) Compute the absolute value of the test statistic for this hypothesis test. Write your answer to 3 decimal places. ○ t(26) O t(54) Select the null distribution of the test statistic. That is, the distribution of the test statistic assuming Ho is true. O N(0,1) O t(27) ○t(52) v) Compute the P-Value for this hypothesis test. Write your answer to 3 decimal places. Select the appropriate statistical outcome for the test when a -0.05. Select the appropriate statistical outcome for the test when a -0.025 O Do not reject Ho O Accept Ho O Reject Ho O Accept Ho O Reject Ho O Do not reject Ho
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 Australian Capital Territory and Tasmania respectively. Data collection were carried out independently in both Australian Capital Territory and Tasmania. First, 27 months were selected at
random from January 2018 to December 2022 and the corresponding monthly bicycle-related head injuries (in percentage) were recorded in Australian Capital Territory. And then, 27 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. 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(μ₁,02) and N(2, 2) variables respectively, complete the exercises below.
Exercise 1
It is claimed that the mean proportions of bicycle-related head injuries in Australian Capital Territory and Tasmania are different.
O One sample Z-test
O Paired t-test
O Two sample t-test
O One sample t-test
i) What is the appropriate hypothesis test to use in this situation?
ii) Compute the absolute value of the test statistic for this hypothesis test. Write your answer to 3 decimal places.
○ t(26)
○ t(54)
iii) Select the null distribution of the test statistic. That is, the distribution of the test statistic assuming Ho is true. O N(0, 1)
○ t(27)
○ t(52)
iv) Compute the P-Value for this hypothesis test. Write your answer to 3 decimal places.
v) Select the appropriate statistical outcome for the test when a = 0.05.
vi) Select the appropriate statistical outcome for the test when a = 0.025.
O Do not reject Ho
O Accept Ho
O Reject Ho
O Accept Ho
O Reject Ho
O Do not reject Ho
Transcribed Image Text:Australian Capital Territory Tasmania
15.51 12.47
29.41 21.93
22.29 12.35
20.66 12.93
22.71 19.72
23.88 23.96
25.16 11.94
23.05 20.99
18.27 12.73
26.58 11.15
20.08 12.41
19.96 25.45
14.15 8.42
14.76 30.64
20.27 14.58
33.18 21.18
13.15 7.82
23.67 23.2
7.38 11.04
23.82 24.21
18.03 13.47
17.18 16.42
16.38 12.92
20.62 24.52
22.56 14.97
25.93 22.94
16.16 11.57
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