The data below show sport preference and age of participant from a random sample of members...

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Basic Math

The data below show sport preference and age of participant froma random sample of members of a sports club. Test if sportpreference is independent of age at the 0.05 significant level.
H₀: Sport preference is independent of age
Ha: Sport preference is dependent on age
18-25 26-30 31-40 41 and over
Tennis 44 59 59 47
Swimming 57 77 46 66
Basketball 70 58 66 53
a. Complete the table: Give all answers as decimals rounded to 4places.
Observed
Frequency Expected
Frequency (O?E)2E(O-E)2E
44
59
59
47
57
77
46
66
70
58
66
53
Total
(b) What is the chi-square test-statistic forthis data?
Test Statistic:?2=?2=

(d) The p-value is...
less than (or equal to) ??
greater than ??
(e) The p-value leads to a decision to...
reject the null
fail to reject the null
(f) What is the final conclusion?
There is sufficient evidence to conclude sport preference isdependent on age.
There is not sufficient evidence to conclude sport preferenceis dependent on age.

	18-25	26-30	31-40	41 and over
Tennis	44	59	59	47
Swimming	57	77	46	66
Basketball	70	58	66	53

Answer & Explanation Solved by verified expert

3.8 Ratings (592 Votes)

a see value of expected in the corresponding column Observed FrequenciesO 1825 2630 3140 41 and over Total Tennis 44 59 59 47 209 Swimming 57 77 46 66 246 Basketball 70 58 66 53 247 Total 171 194 171 166 702 See Answer

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