(V) Conclusion: There is suficient evidence to conclude that the honeymoon location is dependent on the age of the bride. There is not sufficient evidence to conclude that the honeymoon location is dependent on the age of the bride.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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I need help understanding how to solve this question (iv). I think it's the second one but I'm unsure. please help

Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that 281 recent brides were interviewed as to where they spent their honeymoons. The information is given below. Conduct a test of independence at the 5% level.
Location
20 - 29
30 - 39
40 - 49
50 and over
Niagara Falls
15
26
24
20
Poconos
16
26
24
11
Europe
10
25
14
6
Virgin Islands:
20
24
14
6
O Part (a)
O Part (b)
O Part (c)
O Part (d)
O Part (e)
O Part (f)
O Part (g)
O Part (h)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction,
a =0.05
or decimal.)
(ii) Decision:
reject the null hypothesis
O do not reject the null hypothesis
(ii) Reason for decision:
O Since a < p-value, we do not reject the null hypothesis.
O Since a > p-value, we reject the null hypothesis.
O Since a > p-value, we do not reject the null hypothesis.
O Since a < p-value, we reject the null hypothesis.
(iv) Conclusion:
O There is sufficient evidence to conclude that the honeymoon location is dependent on the age of the bride.
O There is not sufficient evidence to conclude that the honeymoon location is dependent on the age of the bride.
Transcribed Image Text:Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that 281 recent brides were interviewed as to where they spent their honeymoons. The information is given below. Conduct a test of independence at the 5% level. Location 20 - 29 30 - 39 40 - 49 50 and over Niagara Falls 15 26 24 20 Poconos 16 26 24 11 Europe 10 25 14 6 Virgin Islands: 20 24 14 6 O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f) O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, a =0.05 or decimal.) (ii) Decision: reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. O Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that the honeymoon location is dependent on the age of the bride. O There is not sufficient evidence to conclude that the honeymoon location is dependent on the age of the bride.
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