Use the table for the accurate numbers. Thank you This final exam is open book,

Question

Use the table for the accurate numbers. Thank you This final exam is open book, open notes, and you may use a calculator If you hae an electronic version of the text, you can refer to it on your computer, but you cannot use your computer in any other way. Numbers in brackets give the point values for the problems. Show your work for full or partial credit (1) A music lover attends a Mozart concert and counts 4 blondes and 46 brunettes 56 The next evening she attends a jazz concert and counts 14 blondes and brunettes Mozart Jazz Total 416 20 Brunette 36 44 80 Total 40 60 100 (a) |6) Find the value for the chi-square test statistic Blonde for this table b) [3 Would a test based on the statistic x2 give a test of independence, or a (c) [6) Let Y denote the number of blondes at the Mozart concert. For a table test of homogeneity of proportions? with these marginal totals, find P(Y = 2) assuming the null hypothesis is correct.

Explanation / Answer

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

The chi-square statistic, p-value and statement of significance appear beneath the table. Blue means you're dealing with dependent variables; red, independent.

The chi-square statistic is 4.1667. The p-value is .041227. The result is significant at p < .05.

Since p - value is less than 0.05, both x and Y are dependent.

Results Mozart Jazz Row Totals Blonde 4  (8.00)  [2.00] 16  (12.00)  [1.33] 20 Brunette 36  (32.00)  [0.50] 44  (48.00)  [0.33] 80 Column Totals 40 60 100  (Grand Total)

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