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Literacy rates ~ Tamil Nadu is one of the 29 states in India, which is also...

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

A normal distribution is used to carry out the following hypothesis test:

H0:p={"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>H</mi><mn>0</mn></msub><mo>:</mo><mi>p</mi><mo>=</mo></math>"} 0.799 vs  HA:p≠{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>H</mi><mi>A</mi></msub><mo>:</mo><mi>p</mi><mo>&#x2260;</mo></math>"} 0.799.

The test statistic for this hypothesis test is 2.9386. Find the p-value. Give your answer to 4 decimal places.

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Answer #1

This is a two tailed test with test statistic as 2.9386. Hence,

p - Value = 2*P(z > 2.9386) = 2*0.00165 = 0.0033

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