Final Exam XXXXXXXXXXMathematics and Statistics for Social Sciences Author: XXXXXXXXXXVanda Salari LL.B 2019/2020 year student Student Number: B019080 Introduction The definition of success in the...

1 answer below »

View more »
Answered Same DayJun 15, 2021

Answer To: Final Exam XXXXXXXXXXMathematics and Statistics for Social Sciences Author: XXXXXXXXXXVanda Salari...

Biswajit answered on Jun 15 2021
157 Votes
Data Analysis:
Hypothesis test 1: Z proportion test nationality
     
     
    proportion test
     
     
     
     
     
     
     
     
    H0
    proportion of American players is 0.5
    0.5
    Assumed proportion
     
    Ha
    proportion of American players is more than 0.5
     
     
     
     
     
     
     
     
    sample size
     
    202
     
     
    P
    proportion of Ameri
can players in sample
    0.77
    Proportion as per data
     
    level of significance
     
    0.05
     
     
     
     
     
     
     
    Z statistic
    9.118642058
     
     
     
    p value
    0.0000
     
     
     
     
     
     
     
     
    As the p value is lower than level of significance (0.05), we reject the null hypothesis.so we say that there are substantially more no of American players in comparison to others
     
     
     
    
     
     
     
    
     
     
     
    
     
     
    conclusion
    
     
     
     
     
     
     
     
     
    Assumptions
    np >10
    156
    yes
     
     
    np(1-p)>10
    36
    yes
     
     
    samples are independent
     
    yes
     
     
    Data points more than 30 to use normality assumption as per central limit theorem
    202
    yes
Hypothesis test 2: T test for difference of ratings between American & rest of others players
    F-Test Two-Sample for Variances
     
     
     
     
     
     
    American yearly ratings
    Rest of others yearly ratings
    Mean
    77.24516129
    78.36170213
    Variance
    35.77067449
    49.14893617
    Observations
    155
    47
    df
    154
    46
    F
    0.727801602
     
    P(F<=f) one-tail
    0.078827566
     
    F Critical one-tail
    0.690790631
     
    Level of significance
     
    0.05
     
    variances are equal
    as p value > .05
    t-Test: Two-Sample Assuming Equal Variances
     
     
     
     
     
     
    American yearly ratings
    Rest of others yearly ratings
    Mean
    77.24516129
    78.36170213
    Variance
    35.77067449
    49.14893617
    Observations
    155
    47
    Pooled Variance
    38.84767467
     
    Hypothesized Mean Difference
    0
     
    df
    200
     
    t Stat
    -1.075799136
     
    P(T<=t) one-tail
    0.141656571
     
    t Critical one-tail
    1.652508101
     
    P(T<=t) two-tail
    0.283313141
     
    t Critical two-tail
    1.971896224
     
    Level of significance
     
    0.05
    conclusion
    American yearly ratings are not statistically different from rest pf others players
    As p value is greater than level of significance 0.05
Hypothesis test 3:t Test for difference of Age between American players & others
    F-Test Two-Sample for Variances
     
     
     
     
     
     
    American Age
    Others Age
    Mean
    26.86451613
    27.19148936
    Variance
    15.10490155
    17.81036078
    Observations
    155
    47
    df
    154
    46
    F
    0.848096327
     
    P(F<=f) one-tail
    0.228354436
     
    F Critical one-tail
    0.690790631
     
     
     
     
     
    variances are equal
    as p value > .05
     
     
     
    t-Test: Two-Sample Assuming Equal Variances
     
     
     
     
     
     
    American Age
    Others Age
    Mean
    26.86451613
    27.19148936
    Variance
    15.10490155
    17.81036078
    Observations
    155
    47
    Pooled Variance
    15.72715717
     
    Hypothesized Mean Difference
    0
     
    df
    200
     
    t Stat
    -0.495137912
     
    P(T<=t) one-tail
    0.310523156
     
    t Critical one-tail
    1.652508101
     
    P(T<=t) two-tail
    0.621046312
     
    t Critical two-tail
    1.971896224
     
     
     
     
    conclusion
    American Ages are not statistically different from rest of others players
    As p value is greater than level of significance 0.05
Hypothesis test 4: t test for comparison of wages of American players & others
    F-Test Two-Sample for...
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here
April
January
February
March
April
May
June
July
August
September
October
November
December
2025
2025
2026
2027
SunMonTueWedThuFriSat
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
3
00:00
00:30
01:00
01:30
02:00
02:30
03:00
03:30
04:00
04:30
05:00
05:30
06:00
06:30
07:00
07:30
08:00
08:30
09:00
09:30
10:00
10:30
11:00
11:30
12:00
12:30
13:00
13:30
14:00
14:30
15:00
15:30
16:00
16:30
17:00
17:30
18:00
18:30
19:00
19:30
20:00
20:30
21:00
21:30
22:00
22:30
23:00
23:30