Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 303 persons, the following data was compiled. Can we conclude that brand perception is dependent on age? Age Favorable Unfavorable Neutral Total 18-30 24 20 69 113 30-45 61 18 21 100 Over 45 56 16 18 90 186 58 59 303 Total Copy Data Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places.

Answer 1

Answer Date: 08/11/2019 The chi-square statistics is, By using Excel software, find chi-square test statistics with the help of following steps: 1) Import the data. 2) Select Contingency table from Chi-Square in MegaStat option from Add-Ins menu. Select Chi-Square and Expected frequencies in Output options. 4) Click Ok.

Chi-square Contingency Table Test for Independence Favorable Neutral 69 20 69.366 Unfavorable 24 21.630 18 19.142 22.003 Total 113 113.000 100 100.000 61 21 61.386 Age 18-30 Observed Expected Age 30-45 Observed Expected Over 45 Observed Expected Total Observed Expected 16 19.472 18 17.525 90 55.248 186 186.000 17.228 58 58.000 59 90.000 303 303.000 59.000 .745 chi-square 4 df .9457 p-value From the Excel output, the chi-square test statistic is 0.745.