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I am facing a little problem is this question. Can somebody please help e here

A sample of 500 drivers was asked whether or not they speed while driving. The following table gives a two-way classification:

enter image description here

We wish to test whether gender and speeding are related at the 1% significant level.

What is the critical value for the test? Also state the null and alternative hypothesis. I need help in this.

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the critical value can be looked up in the $\chi^2$-table. The number of degress of freedem is $df=(r-1)\cdot (c-1)$

r=number of rows

c=number of columns

And here is $\chi^2_{\alpha}=\chi^2_{0,01}$

The null hypothesis is: There is no connectedness between the "gender" and "speedness"

The alernative hypothesis is: There is a connectedness between the "gender" and "speedness"

If the empirical $\chi^2$-value is equal or greater than $\chi^2_{0,01}$ we have to reject the null hypothesis-at the significance Level of 1%.

greetings,

calculus

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  • $\begingroup$ The critical value from table comes out to be 6.6349. Is that correct? $\endgroup$ – Hani Abdullah Apr 24 '14 at 17:41
  • $\begingroup$ Yes. My table has only 2 digits after the point: 6.63 $\endgroup$ – callculus Apr 24 '14 at 21:15

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