Question

(a) A soda maker conducted a survey in 3 schools to see if children liked their brand over a generic soda. Results are in table

School	Soda maker	Generic brand
School 1	232	168
School 2	260	240
School 3	197	203

Using .05 level find out if the true amount of children liked the soda makers soda over the generic kind.

Answer 1

Step 1:

H0: Null Hypothesis: ( the children did not like the soda makers soda over the generic kind.)

HA: Alternative Hypothesis: ( the children liked the soda makers soda over the generic kind.) (Claim)

Step 2:

From the given data, the following statistics are calculated:

Sample 1: Soda maker:

n1 = 3

1 = 689/3 = 229.6667

s1= 31.5647

Sample 2: Generic brand

n2 = 3

2 = 611/3 = 203.6667

s2 = 36.0046

Step 3:

Pooled Standard Deviation is given by:

Test Statistic is given by:

Step 4:

df = 3 + 3 - 2 = 4

= 0.05

From Table, critical value of t = 2.132

Since calculated value of t is less than critical value of t, the difference is not significant. Fail to reject null hypothesis.

Step 5:

Conclusion:
The data do not support the claim that the children liked the soda makers soda over the generic kind.