Exercise 7.13 on page 472 discusses a sample of people choosing their favorite Skittles flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 91 people, again asking them their favorite skittle flavor, but rather than by color they asked by the actual flavor (lime, orange, grape, strawberry, and lemon, respectively). Table 7.29 shows the results from both polls. Does the way people choose their favorite Skittles type, by color or flavor, appear to be related to which type is chosen?

Table 7.29

(a) State the null and alternative hypotheses.
(b) Give a table with the expected counts for each of the 10 cells.
(c) Are the expected counts large enough for a chi-square test?
(d) How many degrees of freedom do we have for this test?
(e) Calculate the chi-square test statistic.
(f) Determine the p-value. Do we find evidence that method of choice affects which is chosen?

Exercise 7.13

Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 66 people recorded their favorite flavor and the results are shown in Table 7.8. Perform a chi-square test, as indicated in the steps below, to see whether or not the flavors are equally popular.

Table 7.8

Transcribed Image Text:

Purple (Lime) Orange (Grape) (Strawberry) (Lemon) Green Red Yellow 18 15 19 13 Color 11 13 Flavor 16 34 Green Purple Yellow Orange Red 15 11 18 13