Do Rats Understand Hide-and-Seek? Exercise 2.24 introduces a study about teaching rats to play hide-and-seek with humans, and the authors of that study used many measures (including vocalizations, mobility, and open versus closed boxes) to examine how well rats understand the rules of the game. In particular, they measured the number of times rats chose transparent (see-through) boxes or opaque (not see-through) boxes in the two different conditions of hiding and seeking. The data are shown in the table below. Hiding Seeking Total Transparent 15 17 32 Opaque 38 14 52 Total 53 31 84 Test whether the proportion of times rats choose the opaque box is higher when they are hiding than when they are seeking. Show all details of the test. (Let Group 1 represent hiding rats and Group 2 represent seeking rats.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Find the test statistic and p-value. Round to three decimal places.
Do Rats Understand Hide-and-Seek? Exercise 2.24 introduces a study about teaching rats to play hide-and-seek with humans, and
the authors of that study used many measures (including vocalizations, mobility, and open versus closed boxes) to examine how well
rats understand the rules of the game. In particular, they measured the number of times rats chose transparent (see-through) boxes or
opaque (not see-through) boxes in the two different conditions of hiding and seeking. The data are shown in the table below.
Hiding
Seeking
Total
Transparent
15
17
32
Opaque
38
14
52
Total
53
31
84
Test whether the proportion of times rats choose the opaque box is higher when they are hiding than when they are seeking. Show all
details of the test. (Let Group 1 represent hiding rats and Group 2 represent seeking rats.)
Transcribed Image Text:Do Rats Understand Hide-and-Seek? Exercise 2.24 introduces a study about teaching rats to play hide-and-seek with humans, and the authors of that study used many measures (including vocalizations, mobility, and open versus closed boxes) to examine how well rats understand the rules of the game. In particular, they measured the number of times rats chose transparent (see-through) boxes or opaque (not see-through) boxes in the two different conditions of hiding and seeking. The data are shown in the table below. Hiding Seeking Total Transparent 15 17 32 Opaque 38 14 52 Total 53 31 84 Test whether the proportion of times rats choose the opaque box is higher when they are hiding than when they are seeking. Show all details of the test. (Let Group 1 represent hiding rats and Group 2 represent seeking rats.)
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