A study reported that 48% of 16 to 29 year olds, 43% of 30 to 49 year olds, and

Question

A study reported that 48% of 16 to 29 year olds, 43% of 30 to 49 year olds, and 36% of 50 to 64 year olds often listened to rock music. Suppose that the study was based on a sample size of 200 in each group. Complete parts (a) through (c). Click the icon to view the table of critical values of x^2. H_0: Pi_1 - Pi_2 - Pi_3 H_1: Not all Pi_j are equal (where j = 1, 2, 3) H_0: Pi_1 = Pi_2 = Pi_3 = 0 H_1: At least one of the Pi_j is not equal to zero (where j = 1, 2, 3) H_0: Pi_1 = Pi_2 = Pi_3 H_1: Pi_1 Not equal sign Pi_2 Not equal sign Pi_3 The test statistic is x^2_STAT = 5.953. (Round to three decimal places as needed.) The critical value for Alpha = 0.10 is. (Round to three decimal places as needed.)

Explanation / Answer

Here, there are k = 3 groups, so

df = k - 1 = 2

Hence, at 0.10 level, the critical value is, using table,

chi^2(crit) = 4.605 [ANSWER]

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