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Statistics 1 Page

Hypothesis Testing

Question

1. HIV/AIDS:

According to the World Health Organization, Botswana and Lesotho have one of the highest incidence of HIV/AIDS in the world (23.3% of the
adult population). Suppose you take a random sample of 75 adults from Botswana and 90 adults from Lesotho and found that 21 people from the Botswana sample and 32 from the Lesotho sample are HIV/AIDS infected.

Using α= 0.05, test the claim that Botswana and Lesotho have the same HIV/AIDS infection rate.

2. Water boiler

The owner of a coffee shop wants to buy a new professional water boiler.

He is hesitant between two brands: A and B. He wants to buy the machine
with the smallest variability in water temperature. He took a sample from 23 machines of brand A and 17 machines of brand B that are already
operating in various coffee shops in the city. He found the following:
sA=2.36 & sB=2.71

Using α= 0.01, test the claim that brand A boils water at a lower
temperature variability than brand B. (use excel to find the critical
F-stat)

Solution

Title: Hypothesis Testing
Length: 1 pages (179 Words)
Style: MLA

Preview

Hypothesis testing

  • HIV/AIDS:

The population proportion is given by 23.3% as indicated by World Health Organisation implying that p=0.233.

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