Vestminster Financial has released a summary of investment package information from the past fiscal year. During this time, Westminster provided a choice among twelve pre-designed investment packages. Westminster classified the packages into three categories according to riskiness. We're interested in the assible relationship between the age of an investor and the riskiness of the investment package she chose. So, there are two variables under consideration: ge of Westminster investor ("under 35", 35-49, or "so+") and riskiness of imvestment choice ("risky", "moderate/mixed", or "conservative") The contingency table below gives a summary of the information released by Westminster regarding age and riskiness of investment package for a random ample of 150 imvestors. Each cell of the table contains three numbers: the first number is the observed cell frequency f): the second number is the expected ell frequency e under the assumption that there is no relationship between the two variables age of Westminster investor and riskiness of investment choice or this past year; and the third number is the following value. fo-E (observed cell frequency-Epected cell frecuency) Expected cell freguency The numbers labeled "Total" are totals for observed frequency. Part 1 in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to three ar more decimal places. Sand data to Excol Riskiness of investment choice Moderate/ Risky Conservative Total mixed 15 14 Under 35 16.32 36 0.330 17 23 19 Age of Westminster Investor (in years) 35-49 26.75 59 0.526 19 31 5 50+ 18.70 24.93 1137 55

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Chi-square tost of indopondance
Eapatel
Westminster Financial has released a summary of investment package information from the past fiscal year. During this time, Westminster provided a choice
among twelve pre-designed investment packages. Westminster classified the packages into three categories according to riskiness. We're interested in the
possible relationship between the age of an imvestor and the riskiness of the investment package she chose. So, there are two variables under consideration:
age of Westminster investor ("under 35", "35-49", or "50+") and riskiness of investment choice ("risky", "mnderate/mixed", or "conservative").
The contingency table below gives a summary of the information released by Westminster regarding age and riskiness of investment package for a random
sample of 150 investors. Each cell of the table contains three numbers: the first number is the observed cell frequency fo): the second number is the expected
cell frequency e) under the assumption that there is no relationship between the two variables age of Westminster investar and riskiness of investment choice
for this past year; and the third number is the follawing value.
国
Vo-JE) (observed cell frequency "Expected cell frequency)
Expected cell frequency
The numbers labeled "Total" are totals for observed frequency.
Part 1
Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your
values to three
or more decimal places.
Sond data to Excol
Riskiness of investment cholce
Moderate/
Risky
Conservative
Total
mixed
15
14
Under 35
16.32
36
0.330
17
23
19
Age of
Westminster
35-49
26.75
59
Investor (in
0.526
years)
19
31
5
50+
18.70
24.93
11.37
55
0.005
1.478
3.569
Total
51
68
31
150
Part 2
Answer the following to summarize the test of the hypothesis that there is no relationship between the two variables age of Westminster investor and riskiness
of investment choice for this past year. For your test, use the 0.05 level of significance.
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
(b) Find the value of the test statistic. (Round to two or more decimal places.)
(c) Find the p-value. (Round to three or more decimal places.)
(d) Can we reject the hypothesis that there is no relationship between the variables age of Westminster investor and riskiness
of investment choice for this past year? Use the 0.05 level of significance.
O Yes
O No
Transcribed Image Text:Chi-square tost of indopondance Eapatel Westminster Financial has released a summary of investment package information from the past fiscal year. During this time, Westminster provided a choice among twelve pre-designed investment packages. Westminster classified the packages into three categories according to riskiness. We're interested in the possible relationship between the age of an imvestor and the riskiness of the investment package she chose. So, there are two variables under consideration: age of Westminster investor ("under 35", "35-49", or "50+") and riskiness of investment choice ("risky", "mnderate/mixed", or "conservative"). The contingency table below gives a summary of the information released by Westminster regarding age and riskiness of investment package for a random sample of 150 investors. Each cell of the table contains three numbers: the first number is the observed cell frequency fo): the second number is the expected cell frequency e) under the assumption that there is no relationship between the two variables age of Westminster investar and riskiness of investment choice for this past year; and the third number is the follawing value. 国 Vo-JE) (observed cell frequency "Expected cell frequency) Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to three or more decimal places. Sond data to Excol Riskiness of investment cholce Moderate/ Risky Conservative Total mixed 15 14 Under 35 16.32 36 0.330 17 23 19 Age of Westminster 35-49 26.75 59 Investor (in 0.526 years) 19 31 5 50+ 18.70 24.93 11.37 55 0.005 1.478 3.569 Total 51 68 31 150 Part 2 Answer the following to summarize the test of the hypothesis that there is no relationship between the two variables age of Westminster investor and riskiness of investment choice for this past year. For your test, use the 0.05 level of significance. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round to two or more decimal places.) (c) Find the p-value. (Round to three or more decimal places.) (d) Can we reject the hypothesis that there is no relationship between the variables age of Westminster investor and riskiness of investment choice for this past year? Use the 0.05 level of significance. O Yes O No
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