A past survey of 1, 068,000 students taking a standardized test revealed that 8.9% of the students were planning on studying engineering in college. In a recent survey of 1, 476,000 students taking the SAT. 9.2% of the students were planning to study engineering.
Construct a 95% confidence interval for the difference between proportions ^p1−^p2 by using the following inequality. Assume the samples are random and independent.
(^p1−^p2)−zc√^p1^q1n1+^p2^q2n2 The confidence interval is

Complete Question

The  complete question is shown on the first uploaded image  

The interval is  

Step-by-step explanation:

From the question we are told that

   The first  sample size is  

    The  first sample proportion is

    The  second sample  size is  

    The  second sample proportion is  

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

Next we obtain the critical value  of    from the normal distribution table  

The value is  

Generally the 95% confidence interval is mathematically represented as

Here   is mathematically evaluated as

and    is mathematically evaluated as  

So

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