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. 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.

What signals you that factoring by grouping is the best method to use when factoring a problem?

Me because some of question i don’t understand

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?