Asked by Jenny Blount on May 15, 2024
Verified
Use the sample data below to test whether car colour affects the likelihood of being in an accident.Use a 5% level of significance. Red Blue White Car has been in accident 283336 Car has not been in accident 232230\begin{array} { c | l c c } & \text { Red } & \text { Blue } & \text { White } \\\hline \begin{array} { c } \text { Car has been in } \\\text { accident }\end{array} & 28 & 33 & 36 \\\begin{array} { c } \text { Car has not been } \\\text { in accident }\end{array} & 23 & 22 & 30\end{array} Car has been in accident Car has not been in accident Red 2823 Blue 3322 White 3630
Car Colour
The specific hue or shade of paint chosen or used to finish the exterior surface of an automobile.
- Integrate knowledge on the usage and essence of Chi-Square tests for independence and goodness-of-fit.
- Execute the calculation of P-values and clarify their significance in hypothesis testing.
- Elucidate the relationship between variables as independent or correlated by leveraging statistical data.
Verified Answer
RB
Richard BenchMay 17, 2024
Final Answer :
H0: Car colour and being in an accident are independent. HA: Car colour and being in an accident are not independent. Test statistic: χ2 = 0.4287 P-value = 0.8071 Fail to reject the null hypothesis.There is not sufficient evidence to warrant rejection of the claim that car colour and being in an accident are independent.
Learning Objectives
- Integrate knowledge on the usage and essence of Chi-Square tests for independence and goodness-of-fit.
- Execute the calculation of P-values and clarify their significance in hypothesis testing.
- Elucidate the relationship between variables as independent or correlated by leveraging statistical data.
Related questions
160 Students Who Were Majoring in Either Math or English \[\begin{array} ...
A Researcher Performed a Study to Determine Whether Political Party ...
A Researcher Performed a Study to Determine Whether an Association ...
Consider the Following Hypothesis Test ...
Confirmed Cases of West Nile Virus in Birds for a ...