Are the ice cream flavors at a Baskin Robbins equally represented across custome

Question

Are the ice cream flavors at a Baskin Robbins equally represented across customers? The table below shows the 6 flavors and the number of people who buy them. The null hypothesis is: ice cream flavors are equally represented by customers. Test this null hypothesis at the .05 level of significance.
Flavor | Number of Customers Chocolate | 25 Strawberry | 42 Vanilla | 40 Mint | 43 Cake batter | 46 Cookie dough | 44
What is the expected frequency for cookie dough?
What is the critical chi-square value?
What value of the chi-square did you compute?
What is the conclusion -- reject or accept the null hypothesis? Are the ice cream flavors at a Baskin Robbins equally represented across customers? The table below shows the 6 flavors and the number of people who buy them. The null hypothesis is: ice cream flavors are equally represented by customers. Test this null hypothesis at the .05 level of significance.
Flavor | Number of Customers Chocolate | 25 Strawberry | 42 Vanilla | 40 Mint | 43 Cake batter | 46 Cookie dough | 44
What is the expected frequency for cookie dough?
What is the critical chi-square value?
What value of the chi-square did you compute?
What is the conclusion -- reject or accept the null hypothesis?
Flavor | Number of Customers Chocolate | 25 Strawberry | 42 Vanilla | 40 Mint | 43 Cake batter | 46 Cookie dough | 44
What is the expected frequency for cookie dough?
What is the critical chi-square value?
What value of the chi-square did you compute?
What is the conclusion -- reject or accept the null hypothesis?

Explanation / Answer

total number of flavors = 6; total frequency =240;

expected frequency for cookie dough =240/6 =40;

degrees of freedom =6-1 =5

chi-square critical value at 5 df with 0.05 level is 11.07

Chi-square statistic value computation:

chi-square computed value 7.25

since chi-square computed value is less than chi-square significant value (11.07) we accept the null hypothesis which is ice cream flavors are equally represented by customers

flavor observed expected Chi-square component chocolate 25 40 5.625 strawberrry 42 40 0.1 Vanilla 40 40 0 Mint 43 40 0.225 Cakebatter 46 40 0.9 Cookie dough 44 40 0.4 Total 240 240 7.25

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