# HW6 - STAT 350 Homework#6 Due at the beginning of class on...

This preview shows pages 1–2. Sign up to view the full content.

STAT 350 – Homework #6 Due: at the beginning of class on Friday, March 7, 2008 Text Exercises Chapter 8 problems #42 * , 44 * , 46 * * For these problems, your work MUST show (i) the table of expected counts, (ii) the value of the Chi-Square statistic, (iii) the degrees of freedom for the test, and (iv) the p- value of the test. You can get p -values that are more precise than what is possible using the Chi-Squared Table in the Appendix of your textbook in Excel using the function “ChiDist”. For example, if your chi- square statistic is 30.54 and the degrees of freedom is 9, in Excel type “=ChiDist(30.54,9)” and excel will give you the p -value. 8.42 Business Engineering Social ScienceAgriculture TOTAL 0.4 0.3 0.2 0.1 1 48 36 24 12 120 52 38 21 9 120 (O-E) 2 /E: 0.3333333330.111111111 0.375 0.75 1.569444 χ 2 = 1.569444, df = 4-1 = 3, p -value = 0.666 Therefore we would not reject the null hypothesis that the percentages for the 4 catageories are 40%, 30%, 20% and 10%, respectively. 8.44 location (i) π i expected frequencies observed counts expected counts (O-E) 2 /E 1 0.033333 4 6.666667 1.066667 2 0.066667 15 13.33333 0.208333 3 0.1 23 20 0.45 4 0.133333 25 26.66667 0.104167 5 0.166667 38 33.33333 0.653333 6 0.166667 31 33.33333 0.163333 7 0.133333 32 26.66667 1.066667 8 0.1 14 20 1.8 9 0.066667 10 13.33333 0.833333 10 0.033333 8 6.666667 0.266667 Sum 1 200 200 6.6125 χ 2 = 6.6125, df = 10-1 = 9, p -value = 0.6774.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

HW6 - STAT 350 Homework#6 Due at the beginning of class on...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online