Exercise 6 looked at people's preferences for snacks to eat during the Super Bowl. A survey commissioned

Question:

Exercise 6 looked at people's preferences for snacks to eat during the Super Bowl. A survey commissioned by www. itsasurvey.com found that \(10 \%\) preferred chicken fingers, \(27 \%\) nachos, \(37 \%\) pizza, \(13 \%\) potato chips, and \(13 \%\) veggies and dip. Calculate the chi-square goodness-of-fit test comparing your sample's choices with those from itsasurvey.

a. State the null and alternative hypotheses \(\left(\mathrm{H}_{0}\right.\) and \(\left.\mathrm{H}_{1}\right)\).

b. Make a decision about the null hypothesis.

(1) Calculate the degrees of freedom \((d f)\).

(2) Set alpha \((\alpha)\), identify the critical value, and state a decision rule.

(3) Calculate a statistic: chi-square \(\left(\chi^{2}\right)\).

(4) Make a decision whether to reject the null hypothesis.

(5) Determine the level of significance.

(6) Calculate a measure of effect size (Cramér's \(\phi\) ).

c. Draw a conclusion from the analysis.

Exercise 6

Given the importance of advertising and products related to the Super Bowl, one company (www.itsasurvey.com) commissioned a survey asking people to indicate their favorite snack to eat during the game. You're interested in seeing whether your friends expressed the same preferences, so you visit several parties and see what people are choosing to eat. Here are your findings: image text in transcribed