The marketing director at Nike is interested in knowing whether there is an association between daily running shoe style preference and gender. He picked two of the best selling running shoe styes: Flex RN and Flyknit Racer. Test results from sample customers are given below. Carry out a hypothesis test to determine if preferred running shoe style is independent of gender. Assume a = 5%. Male Female Flex RN 248 211 Flyknit Racer 160 144 1. What test would you use for this problem? Test of independence 2. What is the null hypothesis for this test? Running shoe style is indepen v 3. If preferred running shoe style and gender are independent, what is the expected number of females would prefer Flex RN? 213.56 4. What is the degrees of freedom of the test? 5. What is the test statistic for this test? [ Select ] 6. Using either the p-value approach or the critical value approach, what is your conclusion? Is there an association between gender and shoe style? [Select ] <>

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Question #5 and #6 only.
The marketing director at Nike is interested in knowing whether there is an association between
daily.running shoe style preference and gender. He picked two of the best selling running shoe styes:
Flex RN and Flyknit Racer. Test results from sample customers are given below. Carry out a
hypothesis test to determine if preferred running shoe style is independent of gender. Assume a =
5%.
Male
Female
Flex RN
248
211
Flyknit Racer
160
144
1. What test would you use for this problem? Test of independence
2. What is the null hypothesis for this test? Running shoe style is indepen v
3. If preferred running shoe style and gender are independent, what is the expected number of
females would prefer Flex RN? 213.56
4. What is the degrees of freedom of the test?
1
5. What is the test statistic for this test? [ Select ]
6. Using either the p-value approach or the critical value approach, what is your conclusion? Is there
an association between gender and shoe style? [ Select ]
Transcribed Image Text:The marketing director at Nike is interested in knowing whether there is an association between daily.running shoe style preference and gender. He picked two of the best selling running shoe styes: Flex RN and Flyknit Racer. Test results from sample customers are given below. Carry out a hypothesis test to determine if preferred running shoe style is independent of gender. Assume a = 5%. Male Female Flex RN 248 211 Flyknit Racer 160 144 1. What test would you use for this problem? Test of independence 2. What is the null hypothesis for this test? Running shoe style is indepen v 3. If preferred running shoe style and gender are independent, what is the expected number of females would prefer Flex RN? 213.56 4. What is the degrees of freedom of the test? 1 5. What is the test statistic for this test? [ Select ] 6. Using either the p-value approach or the critical value approach, what is your conclusion? Is there an association between gender and shoe style? [ Select ]
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