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The Australian Bureau of Statistics (ABS) collects data on how adults working in South Australia (SA) commute to work. The 2016 census published that 3.76%
The Australian Bureau of Statistics (ABS) collects data on how adults working in South Australia (SA) commute to work. The 2016 census published that 3.76% of these workers travelled to work through active transport. Active transport is dened as running, cycling, walking, skateboarding, or using a scooter to travel to work. The Transport Minister has given a press release claiming that only 1.2% of all SA commuters ride a bicycle to their work. Alfred thinks that more commuters cycle to work than the Transport Minister claims. They conduct a survey to determine how many adults cycle to work in SA. A simple random sample of 555 adult commuters found that 11 adults in SA cycle to work. Does this provide evidence that the proportion of all SA commuters who ride a bicycle to their work is more than 1.2%? Answer this question by completing the following hypothesis testing steps. (b) What is the test statistic? Note that there are many options to choose from and that you may need to scroll down to see them all. p O Po (1-po ) n p O Pobs (1-Pobs ) p -Po O Pobs (1-Pobs) n X 1 - X2 O Spin1 1 + 72 Po O p(1-p) n D-do O Sp/ Vn (#1 -12) -(X1-X2) O Spynj t n2 D O Sp/ Vn p (1-p) p -Pobs O Pobs (1-Pobs) n
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