Is HDTV ownership related to quantity of purchases of other electronics? A Best Buy retail outlet collected the following data for a random sample of its recent customers. At a = 0.10, is the frequency of in-store purchases independent of the number of large-screen HDTVs owned (defined as 50 inches or more)? In-Store Purchases Last Month One 16 32 47 95 O Yes O No HDTVs Owned None One Two or More 19 Column Total 52 None Test statistic Degrees of freedom p-value 15 18 Critical value Click here for the Excel Data File (a) The hypothesis for the given issue is Hy: HDTVs Owned and In Store Purchases are independent. O Yes O No More Than One (b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) 13 32 64 109 (d) We reject the null hypothesis. Row Total 44 82 130 256 (c) Find the critical value for chi-Square. Refer to the chi-square Appendix E table. (Round your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Is HDTV ownership related to quantity of purchases of other electronics? A Best Buy retail outlet collected the following data for a
random sample of its recent customers. At a = 0.10, is the frequency of in-store purchases independent of the number of large-screen
HDTVs owned (defined as 50 inches or more)?
In-Store Purchases Last Month
One
Two or More
Column Total
O Yes
O No
HDTVs Owned None
None 15
One 18
19
52
Test statistic
Degrees of freedom
p-value
Critical value
Click here for the Excel Data File
(a) The hypothesis for the given issue is H₂: HDTVs Owned and In Store Purchases are independent.
16
32
47
95
More Than
One
(b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places
and the p-value to 4 decimal places.)
(d) We reject the null hypothesis.
O Yes
O No
13
32
64
109
Row Total
44
82
130
256
(c) Find the critical value for chi-Square. Refer to the chi-square Appendix E table. (Round your answer to 3 decimal places.)
Transcribed Image Text:Is HDTV ownership related to quantity of purchases of other electronics? A Best Buy retail outlet collected the following data for a random sample of its recent customers. At a = 0.10, is the frequency of in-store purchases independent of the number of large-screen HDTVs owned (defined as 50 inches or more)? In-Store Purchases Last Month One Two or More Column Total O Yes O No HDTVs Owned None None 15 One 18 19 52 Test statistic Degrees of freedom p-value Critical value Click here for the Excel Data File (a) The hypothesis for the given issue is H₂: HDTVs Owned and In Store Purchases are independent. 16 32 47 95 More Than One (b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) (d) We reject the null hypothesis. O Yes O No 13 32 64 109 Row Total 44 82 130 256 (c) Find the critical value for chi-Square. Refer to the chi-square Appendix E table. (Round your answer to 3 decimal places.)
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