Question

A local ice cream shop wants to see if they should promote a new swizzleberry swirl or creamsicle flavored drink. In order to determine which one to promote, they took a sample of 80 patrons and asked them to choose which they preferred. The one that is significantly preferred over the other (at a .05 level of significance) will be promoted. It is expected that an equal number of patrons will choose each flavor.

	Flavored Drinks
	Swizzleberry Swirl Flavored	Creamsicle Flavored
Observed Frequencies	28	52

• 1) What is the Null Hypothesis?
• 2) What is the Research Hypothesis?
• 3) What are the expected frequencies for each drink?
• 4) Which type of statistical test would best be utilized to determine whether there is a significant difference between expected frequencies and observed frequencies, given that this data is categorical?

1. T-test
2. ANOVA
3. Chi-square
4. Pearson’s Correlation Coefficient

Answer 1

ANSWER::

(1)

H0: Null Hypothesis: There is no significant difference between expected frequencies and observed frequencies of new swizzleberry swirl and creamsicle flavored drink.

(2)

HA; Research Hypothesis: There is a significant difference between expected frequencies and observed frequencies of new swizzleberry swirl and creamsicle flavored drink. (claim)

(3)

Expected Frequency for Swizzleberry Swirl Flavored = 80/2 = 40

Expected Frequency for Creamsicle Flavored = 80/2 = 40

(4)

Option:: (C) is correct.......

Ans: Chi-square

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