Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly? A) A one-sample z-test for a population proportion B) A two-sample z-test for a difference between population proportions C) A chi-square goodness-of-fit test D) A chi-square test for homogeneity E) A matched pairs t-test for a mean difference
Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly?
A) A one-sample z-test for a population proportion
B) A two-sample z-test for a difference between population proportions
C) A chi-square goodness-of-fit test
D) A chi-square test for homogeneity
E) A matched pairs t-test for a mean difference
Answer
Answer: C) A chi-square goodness-of-fit test
Explanation: Jimmy should use a chi-square goodness-of-fit test to compare the observed distribution of music types with the expected distribution.
Sourav
