Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Last year there was a pandemic caused by xyz virus in the city of Abc. The population of the city is 15 million. The health authorities of the city are estimating that more than 3% of the people of this city were infected by this virus. In order to test this statement, they collected a sample of 1000 individuals of this city and conducted an antibody test on them. The results of the analysis showed that 40 individuals out of those 1000 people got infected during the pandemic. Is there evidence to support that more than 3% of the population of the city got infected by the virus? Use hypothesis testing.

Sagot :

fichoh

Answer:

There is significant evidence to support that more than 3% of the population of the city got infected by the virus.

Step-by-step explanation:

x = 40 ; n = 1000

phat = x / n = 40 / 1000 = 0.04 = 4%

H0 : p = 0.3

H1 : p > 0.3

The test statistic :

(Phat - P) ÷ √(p(1 - p) / n)

1 - p = 1 - 0.3 = 0.7

(0.4 - 0.3) ÷ √(0.3(0.7) / 1000)

0.1 ÷ 0.0144913

= 6.9

Pvalue ; Using the Pvalue from Zstatistic calculator :

Pvalue < 0.00001

Reject H0, if Pvalue < α

0.00001 < α ; We reject H0 ; Hence, there is significant evidence to support that more than 3% of the population of the city got infected by the virus.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.