AT&T; LTE 5:50 PM webassign.net Additional Materials An ice cream maker performs

Question

AT&T; LTE 5:50 PM webassign.net Additional Materials An ice cream maker performs a nationwide survey about favorite flavors of ice cream in different geographic areas of the U.S. Based on the table below, do the numbers suggest that geographic location is independent of favorite ice cream flavors? Test at the 5% significance level. Part (a) Part (b) Part (c) Part (d) Part (e) What is the test statistic? (Round your answer to two decimal places.) Part (f) What is the p-value? (Round your answer to four decimal places) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. If Hy is true, then there is a chance equal tothe p-value that the value of the test statistic will be equal to or less than the calculated value. Part (g) Part (h)

Explanation / Answer

applying chi square test:

from above test statistics =13.99

p value = 0.5263 ( please try 0.5264 if this will not workj due to rounding)

Observed O strawberry Chocolate Vanilla Rocky road Mint Chocolate Pistachio Total west 11 22 22 19 15 8 97 midwest 10 32 22 10 14 6 94 east 8 31 27 8 16 7 97 south 15 27 30 8 16 6 102 Total 44 112 101 45 61 27 390 Expected E=rowtotal*column total/grand total strawberry Chocolate Vanilla Rocky road Mint Chocolate Pistachio Total west 10.944 27.856 25.121 11.192 15.172 6.715 97 midwest 10.605 26.995 24.344 10.846 14.703 6.508 94 east 10.944 27.856 25.121 11.192 15.172 6.715 97 south 11.508 29.292 26.415 11.769 15.954 7.062 102 Total 44 112 101 45 61 27 390 chi square =(O-E)^2/E strawberry Chocolate Vanilla Rocky road Mint Chocolate Pistachio Total west 0.0003 1.2312 0.3876 5.4466 0.0019 0.2457 7.313 midwest 0.0345 0.9280 0.2256 0.0660 0.0336 0.0396 1.327 east 0.7918 0.3548 0.1406 0.9105 0.0452 0.0121 2.255 south 1.0598 0.1794 0.4864 1.2071 0.0001 0.1596 3.093 Total 1.886 2.693 1.240 7.630 0.081 0.457 13.9882

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