Question

In: Statistics and Probability

Country Algeria Argentina Australia Austria Belgium Brazil Burkina Faso Canada China Colombia Denmark Ecuador Ethiopia Finland...

Country
Algeria
Argentina
Australia
Austria
Belgium
Brazil
Burkina Faso
Canada
China
Colombia
Denmark
Ecuador
Ethiopia
Finland
France
Germany
Ghana
Greece
Guatemala
Iceland
India
Ireland
Israel
Italy
Japan
Kenya
Lebanon
Luxembourg
Malta
Mexico
Myanmar
Netherlands
New Zealand
Nicaragua
Norway
Peru
Portugal
Spain
Sweden
Switzerland
Tunisia
Turkey
United Arab Emirates
United Kingdom
United States
Venezuela, RB
Life expectancy
75
76
83
82
81
75
59
82
76
74
81
76
65
81
83
81
62
82
72
83
68
82
82
84
84
62
80
82
82
77
66
82
82
75
82
75
82
83
83
83
75
75
78
82
79
74

In 2016, the World Health Organization estimated that the average life expectancy at birth worldwide was 72 years[1]. (This includes all countries of the world, not just the countries in the sample.)

Complete the steps below to carry out a one-mean hypothesis test to test the claim that the average life expectancy has increased beyond the global average using a 5% significance level.

Let mean = the average life expectancy of a person at birth (globally).

  1. State your Null and Alternative Hypothesis symbolically. (You may need to copy and paste symbols.)
  2. Verify that the conditions of the one-mean hypothesis test are satisfied.

  1. calculate the test statistic and p-value. Round your answer to the nearest thousandth. Insert the results from the hypothesis test from StatCrunch in the space provided.

Test Statistic:

p-value:

  1. Determine if you should Reject null hypothesis or fail to reject the null hypothesis. Use the significance level and your p-value to explain how you made your decision.

  1. Using sentences, write your conclusion using the context of the problem.

[1] Source: World Health Organization.

Solutions

Expert Solution

1) Hypothesis -

H0 : mu = 72 vs. H1 : mu > 72

2) Test Statistics =5.859

P value = 0

3) Decision - Reject H0 if p value < 0.05

4) Conclusion- Average life expectancy has increased beyond the global average. PL??


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