I need help with statistics homewood re: the chi-square and phi coefficient?

1)

Observed frequencies:

--------85--------60--------25--------75

Row 1 total = 145

Row 2 total = 100

Column 1 total = 110

Column 2 total = 135

Grand total 245

Expected frequencies

E(1,1) = (145)(110) / 245 = 65.102

E(1,2) = (145)(135) / 245 = 79.898

E(2,1) = (100)(110) / 245 = 44.898

E(2,2) = (100)(135) / 245 = 55.102

Expected frequencies:

--------65.102--------79.898--------44.898--------55.102

Chi-square = Σ [O(i,j)-E(i,j)]^2 / E(i,j)

(85 - 65.102)^2 /65.102 + (60 - 79.898)^2 /79.898 +

(25 - 44.898)^2 /44.898 + (75 - 55.102)^2 /55.102

6.0817+4.9554+8.8184+7.1854+

Chi-squared = 27.32

Degrees of freedom = (2-1)(2-1) =(1)(1) = 1

--------------------------------------

2)

85 25 --110

60 75---135

145 100 -- 245

Qhi-coefficient

n11 n10 n1.

n01 n00 n0.

n.1 n.0 n

Phi = (n11n00 -n10n01) / sqrt[n1.n0.n.0n.1]

= [ (85)(75)-(25)(60)] /sqrt [ (135)(110)(100)(145)]

= 0.33

3)

weak

-----------------------

* -1.0 to -0.7 strong negative association.

* -0.7 to -0.3 weak negative association.

* -0.3 to +0.3 little or no association.

* +0.3 to +0.7 weak positive association.

* +0.7 to +1.0 strong positive association.

Flavour predicted values talked approximately values index Vanilla 25% 220/one thousand = 22% a million Chocolate 25% 255/one thousand = 25.5% 2 Strawberry 20% one hundred ninety.one hundred = 19% 3 Butter Pecan 15% a hundred and seventy/one thousand = 17% 4 Rocky street 8% ninety 5/one thousand = 9.5% 5 different or no pref. 7% 70/one thousand = 7% 6 --------- ---------------------- one hundred% one hundred% Chi sq. = Sum of [{ talked approximately(i) - predicted(i)}^2]/predicted(i) E. g Sum of [(22 -25)^2]/ 25 + [(25.5 - 25)^2]/25 ................... ranges of Freedom = 5 you will now could seek for suggestion from a table of Chi sq. for 5 ranges of freedom to verify in the journey that your hypothesis I put in the element because of the fact i don't comprehend ways conventional you're with the notation. All superb desires Polygon