a) Work out the zscore of the sample proportion of customers from country A, if the hypothesis p=0.9 is true b) Work out the zscore of the sample proportion of customers from country A, if the...

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a) Work out the zscore of the sample proportion of customers from country A, if the hypothesis p=0.9 is true



b) Work out the zscore of the sample proportion of customers from country A, if the hypothesis p=0.5 is true



c) Find a 95% confidence interval for the average of the variable “How much would they pay?” if the hypothesis they are on ship A is true.



d) Find a 95% confidence interval for the average of the variable “How much would they pay?” if the hypothesis they are on ship B is true.



e) Paste in the output for testing the claim there is a relationship between the variables “How much ingredient X?” and “How much would they pay?” and add suitable comments.




f) Paste in the output for testing the claim there is a relationship between the “Which ship?” and “Amount they would pay?” and add suitable comments.



g) Paste in the output for testing the claim there is a relationship between the “Which country?” and “Amount they would pay?” and add suitable comments.



h) Paste in the output for testing the claim there is a relationship between the “Which country?” and “which ship?” and add suitable comments.



i) Discuss at least two of the following topics it is OK if there is no


connection between your discussions of the different topics.


Topic 1: demographics


Topic 2: snack food ingredients


Topic 3: cruise ships


Topic 4: Histograms



If you write a total of 600 words is OK it is also OK to use less words if you are making well considered points, If you use references cite the references and add a reference list at the end of the assignment, however you can work out some obvious points that are related to the dataset yourself without using references.






j) Answer one of the following questions


Question 1


Are your discussions in part (m) related to any of the previous parts? Explain why or why not.


300 words is OK it is also OK to use less words if you are making well considered points


Question 2


Discuss what you learnt about summarizing datasets when doing parts


a),b),c) and d) of the assignment ? Do your discussions in part m) give you an example of why you want to summarize datasets.



k) Comment on the format of the sample report. Given at the end of this document (pages 6 to 19)

Answered Same DaySep 20, 2021BUS105University of the Sunshine Coast

Answer To: a) Work out the zscore of the sample proportion of customers from country A, if the hypothesis p=0.9...

Pooja answered on Sep 22 2021
137 Votes
a) Relationship between “How much ingredient X?” and “How much would they pay
    correlation coefficient =
    0.994
There is a strong negative linear relationship between How much Ingredient X and How much would they pay. With the increase in value of How much Ingredient X, the value of How much would they pay decreases drastically.
b) Relationship between the “Which ship?” and “How much would they pay?
    Row Labels
    Average of How much woul
d they pay?
    ship B
    24.905
    ship A
    24.947
    Grand Total
    24.926
There is not much difference in the average amount paid by customers who belong to ship A and B. average amount paid by customers who belong to ship A is 24.94 against 24.9 who belong to ship B respectively.
c) Relationship between “Which country?” and “How much would they pay?”
    Row Labels
    Average of How much would they pay?
    country A
    25.28865979
    country B
    24.58446602
    Grand Total
    24.926
There is not much difference in the average amount paid by customers who belong to country A and B. average amount paid by customers who belong to country A is 25.28 against 24.58 who belong to country B respectively.
d) Relationship between “Which country?” and “which ship”
    Count of which country ?
    Column Labels
    
    
    Row Labels
    ship B
    ship A
    Grand Total
    country A
    26
    71
    97
    country B
    74
    29
    103
    Grand Total
    100
    100
    200
The maximum number of customers are from ship B and country B. There is a total of 74 customers who belong to ship B and country B. there are 71 customers from ship B and country B. the minimum number of customers belong to Ship B and country A.
e) z-score for proportion of customers from country A when p=0.9
    Row Labels
    Count of which country ?
    country A
    97
    country B
    103
    Grand Total
    200
Phat = x/n = 97/200 = 0.485
Ho: p = 0.9 v/s h1: p =/= 0.9
z score, z = (phat-p)/sqrt(p*(1-p)/n) = (0.485-0.9)/SQRT(0.9*(1-0.9)/200) = -19.56
f) z-score for proportion of customers from country A when p=0.5
    Row Labels
    Count of which country ?
    country A
    97
    country B
    103
    Grand Total
    200
Phat = x/n = 97/200 = 0.485
Ho: p = 0.5 v/s h1: p =/= 0.5
z score z = (phat-p)/sqrt(p*(1-p)/n) = (0.485-0.5)/SQRT(0.5*(1-0.5)/200) = -0.424
g) 95% CI for average of amount pay for ship A
    Row Labels
    Count of How much would they pay?
    Average of How much would they pay?3
    StdDev of How much would they pay?2
    ship B
    100
    24.905
    2.912
    ship A
    100
    24.947
    2.935
    Grand Total
    200
    24.926
    2.916
CI = mean +- z(a/2,n-1)*(sd/sqrt(n))
    lower
    24.37171274
     
     
    upper
    25.52228726
    
     
     
    
    
     
     
    Count of How much would they pay?
    Average of How much would they pay?3
    StdDev of How much would they pay?2
    ship A
    100
    24.947
    2.935139079
I am 95% confident that the estimated average amount pay for ship A lie in the interval ($24.37, $25.52).
h) 95% CI for the average amount pay for ship B
    Row Labels
    Count of How much would they pay?
    Average of How much would they pay?3
    StdDev of How much would they pay?2
    ship B
    100
    24.905
    2.912
    ship A
    100
    24.947
    2.935
    Grand Total
    200
    24.926
    2.916
CI = mean +- z(a/2,n-1)*(sd/sqrt(n))
    lower
    24.33418245
     
     
    upper
    25.47581755
    
     
     
    
    
     
     
    Count of How much would they pay?
    Average of How much would they pay?3
    StdDev of How much would they pay?2
    ship B
    100
    24.905
    2.912334445
I am 95% confident that the estimated average amount pay for ship B lie in the interval ($24.33, $25.47).
i) Relationship between the variables “How much ingredient X?” and “How much would they pay?”
    SUMMARY OUTPUT
    
    
    Regression Statistics
    Multiple R
    0.994192
    R Square
    0.988417
    Adjusted R Square
    0.988359
    Standard Error
    0.314673
    Observations
    200
    ANOVA
    
    
    
    
    
     
    df
    SS
    MS
    F
    Significance F
    Regression
    1
    1673.059
    1673.059
    16896.37
    1.2E-193
    Residual
    198
    19.60574
    0.099019
    
    
    Total
    199
    1692.665
     
     
     
     
    Coefficients
    Standard Error
    t Stat
    P-value
    Lower 95%
    Upper 95%
    Intercept
    40.10519
    0.118876
    337.3685
    3E-275
    39.87076
    40.33961
    How much Ingredient X?
    -10.0845
    0.077581
    -129.986
    1.2E-193
    -10.2375
    -9.93151
Null hypothesis, Ho: there is no significant linear relationship between "How much ingredient X?” and “How much would they pay?”.
V/s Alternative hypothesis, H1: there is a significant linear relationship...
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