Question

Marvel movies - Kylie is a Marvel fan and wants to see if the distribution of her classmates' favorite marvel movies is different from the one published by rottentomatoes.com. She randomly surveys her classmates. The table below contains the percentages reported by rottentomatoes.com and the observed counts from her random sample. Movie Avengers: Infinity War Others Captain America: The Winter Soldier 17% Guardians of the Galaxy Thor: Ragnarok 36% 11% 8% 28% rottentomatoes.com Percentages Observed Counts 66 36 Kylie conducts the appropriate hypothesis test. If, in fact, the percentages are as reported by rottentomatoes.com, then what is the contribution of the Avengers: Infinity War category to Kylie's observed test statistic? Note: Observed counts are randomized in each instance of this question, Recalculate the sample size and pay attention to the numbers in this question Give your answer to 4 decimal places.

Answer 1

using minitab>stat>tables >chi square

we have

Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: Observed

Using category names in Movie

Test Contribution
Category Observed Proportion Expected to Chi-Sq
Avenger Infinity wars 66 0.36 71.28 0.391111
Captain America' 36 0.17 33.66 0.162674
Guardains of Galaxy 24 0.11 21.78 0.226281
Thor:Ragnarok 14 0.08 15.84 0.213737
Others 58 0.28 55.44 0.118211

N DF Chi-Sq P-Value
198 4 1.11201 0.892

observe test statistic is 1.1120