In a survey of 10,000 students taking the SAT, 7% were undecided on an intended college major. In another survey of 8000 students taken 10 years before, 3% were undecided on an intended college major. Construct a 90% confidence interval for p₁ - p₂, where p₁ is the proportion from the recent survey and p₂ is the proportion from the survey taken 10 years ago.

You can construct a confidence interval for the difference between two population proportions p₁ - p₂ by using the inequality below.

Construct the indicated confidence interval for p₁ - p₂. Assume the samples are random and independent.

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(Pi – P2) < Pi – P2 < (pi – P2) + za П1 П2 П2