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Wk 7 Discussion - Types of errors
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<!DOCTYPE html PUBLIC "-//ABISOURCE//DTD XHTML plus AWML 2.2//EN" "http://www.abisource.com/2004/xhtml-awml/xhtml-awml.mod"><html xmlns="http://www.w3.org/1999/xhtml" xmlns:awml="http://www.abisource.com/2004/xhtml-awml/"> <head> </head> <body> <div> <p> <span style="font-size:12pt;font-family:'Times New Roman';color:#000000">The probability of rejecting a null hypothesis when it is true is called Type I error. It is denoted by α (alpha). It is also known as level of significance or false positive.</span> </p> <p> <span style="font-size:12pt;font-family:'Times New Roman';color:#000000">The probability of accepting a null hypothesis XXXX it is XXXXX is XXXXXX XXXX II XXXXX. It is denoted by Beta. XX XX XXXX known XX false XXXXXXXX.</span> </p> <p XXXXX="XXXXXXX(XXX)" style="XXXXXX-bottom:XX.XXXXXXXX;margin-top:X.XXXXXXXX" awml:style="XXXXXX (Web)"> <span style="XXXXX:#XXXXXX">XXXXXXX a criminal is presented in a XXXXX XXX justice. Now XX: he XX XXXX man</span> </p> <p class="normal_(web)" style="XXXXXX-bottom:XX.XXXXXXXX;XXXXXX-top:X.000000pt" awml:style="XXXXXX (XXX)"> <span style="XXXXX:#XXXXXX">XX: he is a XXXXXXXX</span> </p> <p XXXXX="normal_(XXX)" style="XXXXXX-bottom:12.000000pt;XXXXXX-top:X.000000pt" awml:style="XXXXXX (XXX)"> <span style="XXXXX:#000000">XXX XXXXXXX he XX a XXXX man XXX XXX to some evidence or XXXX XXXXXX judge XXXXXXXX XX criminal. Then XXXX XX XXXX XXX error. Here given H0 we XXX rejecting H0.</span> </p> <p XXXXX="normal_(XXX)" style="margin-bottom:XX.000000pt;XXXXXX-top:0.000000pt" awml:style="XXXXXX (XXX)"> <span style="XXXXX:#XXXXXX">XXX suppose he XX criminal but XXX to lack XX evidence he is declared as XXXX XXX XXXX it is type XXX XXXXX.</span> </p> <p class="XXXXXXX(XXX)" style="margin-XXXXXX:12.000000pt;XXXXXX-XXX:X.XXXXXXXX" awml:style="Normal (XXX)"> <span style="XXXXX:#XXXXXX">Now note that XXXX X error XX serious XXXX type 2. XX XXXXXXXXX a XXXX XXX XX a serious offence than XX release a XXXXXXXX.</span> </p> <p style="margin-bottom:0.XXXXXXXX"> <a name="_GoBack"> </a> <span style="font-size:12pt;XXXX-XXXXXX:'XXXXX New XXXXX';XXXXX:#XXXXXX">X XXXX I error XXXXXX XXXX we reject XXX XXXX hypothesis when it XX in fact XXXX.</span> </p> <p style="margin-bottom:X.000000pt"> <span style="font-size:12pt;XXXX-XXXXXX:'XXXXX New XXXXX';XXXXX:#000000">A XXXX XX error XXXXXX XXXX XX fail XX reject XXX XXXX XXXXXXXXXX XXXX in XXXX it is false.</span> </p> <p style="XXXXXX-bottom:0.XXXXXXXX"> <span style="XXXX-XXXX:XXXX;font-family:'XXXXX XXX Roman';color:#000000">α XX XXX XXXXXXXXXXX XX XXXXXX a XXXX I XXXXX. XX set XXXX value low so we XXXXXXXXX XXX't XXXX a Type I XXXXX.</span> </p> <p style="XXXXXX-XXXXXX:X.000000pt"> <span style="font-XXXX:XXXX;font-family:'XXXXX XXX Roman';XXXXX:#000000">α is inversely XXXXXXX to the XXXXXXXXXXX XX a Type II error rate that XX XXX lower XX XXXX α the higher the XXXXXXXXXXX of us XXXXXX a XXXX II XXXXX.</span> </p> <p style="XXXXXX-XXXXXX:0.000000pt"> <span style="XXXX-XXXX:12pt;XXXX-family:'Times XXX XXXXX';XXXXX:#000000">XXX example if our null XXXXXXXXXX was H</span><span style="font-XXXX:12pt;font-family:'XXXXX New XXXXX';vertical-XXXXX:XXX;XXXXX:#000000">X</span><span style="font-XXXX:12pt;font-XXXXXX:'XXXXX New XXXXX';color:#000000">: X = 3 XXXX XX XXX XXXX XX true and we reject it (that is we XXXXXXXX the XXXXXXXXXXX hypothesis XX X</span><span style="font-XXXX:12pt;font-family:'Times XXX Roman';vertical-XXXXX:sub;XXXXX:#000000">1</span><span style="XXXX-XXXX:12pt;font-XXXXXX:'XXXXX XXX Roman';XXXXX:#XXXXXX">: X is XXX XXXXX XX X) then XX commit a Type I error. We don't want to do XXXX so XX set XXX XXXXX XX α XXX in order XX XXXXXXXX XXX probability of XXXXXXXXXX a Type I XXXXX.</span> </p> <p style="margin-bottom:0.XXXXXXXX"> <span style="font-XXXX:12pt;font-family:'XXXXX XXX Roman';XXXXX:#XXXXXX">Alternatively if the null XXXXXXXXXX XX XXXXX XXX we XXXX XX reject it (that XX XX XX not accept XXX alternative XXXXXXXXXX) XXXX we XXXXXX a XXXX II error.</span> </p> <p style="margin-XXXXXX:X.XXXXXXXX"> <span style="XXXX-XXXX:12pt;font-XXXXXX:'XXXXX XXX XXXXX';color:#000000">XXXXXXX XXX XX think of XXXX is our justice XXXXXX. The XXXX XXXXXXXXXX is that XXX criminal XX innocent (innocent until proven guilty). XXXXXXXXX XX the criminal XX XXXXXXXX XXX we XXXXXXX him (XXXXXX the null) XXXX we XXXXXX a Type I XXXXX. However if XXX criminal XX guilty XXX we fail XX convict XXX then XX XXXXXX a XXXX XX XXXXX.</span> </p> <p> </p> </div> </body></html>">
