Question

Cola Non-cola Teenagers 50 80 Adults 90 40 Apply the steps in testing a research hypothesis. Perform a chi-square test and interpret the results. Determine how to present the results. How might the results obtained from the test affect the advertising strategy? Apply the steps in testing a research hypothesis. Perform a chi-square test and interpret the results. Determine how to present the results. How might the results obtained from the test affect the advertising strategy?

Answer 1

Solution:-

The null hypothesis:

H₀ = There is no relationship between the soft-drink preference and the age of the consumer.

The statistical test:

Critical values of Chi-Square

a= 0.05

d.f. (degrees of freedom) = 1

χ2 critical value = 3.841

Chi-Square Test:

Cola, Non-Cola Expected counts are printed below observed counts

Chi-Square contributions are printed below expected counts

	Cola	Non-cola	Total
Teens	50	80	130
	70.00	60.00
	5.714	6.667
Adults	90	40	130
	70.00	60.00
	5.714	6.667
Total	140	120	260

Chi-Sq = 24.762, DF = 1, P-Value = 0.000

Interpret the test:

The calculated chi-square value of 24.762 is larger than the critical value of 3.841 which means the null hypothesis (H0) must be rejected. The alternative hypothesis (Ha) is accepted, there is a relationship between the soft-drink preference and the age of the consumer.

Presenting the results:

The results should be presented with descriptive text, tables and graphs. This allows people that are visual thinkers to see a graphical representation or picture of the data.