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Vilka [71]
3 years ago
7

Literacy rates ~ Tamil Nadu is one of the 29 states in India, which is also one of the leaders in literacy initiatives carried o

ut in India. The literacy rate for Tamil Nadu is 0.799 as per 2011 census data. A NGO wants to determine if the actual literacy rate is different from the value reported in the census data. Recently, the NGO conducted a survey on 1,185 randomly selected Tamil Nadu residents and found that 983 of them are literate. A normal distribution is used to carry out the following hypothesis test: H0:p= 0.799 vs HA:p≠ 0.799. What is the test statistic for this hypothesis test? Give your answer to 4 decimal places.
Mathematics
1 answer:
Ivan3 years ago
4 0

Answer:

Test statistic = 2.8965

Step-by-step explanation:

The test statistic is given by the formula

z = (x - μ)/σₓ

μ = mean = 0.799

x = proportion of literate people in Tamil Nadu = (983/1185) = 0.8295

σₓ = standard error of this calculated proportion = √[p(1-p)/n]

= √(0.8295 × 0.1705/1185) = 0.01093

z = (x - μ)/σₓ

z = (0.8295 - 0.799)/0.01093 = 2.8965

z = 2.8965

Hope this Helps!!!

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