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Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 92% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Make sure to include correct symbol, formula and round off rule for each step. (2pts) Point estimate (sample proportion) (Round to 3 decimal places)(3pts) Critical value ( Round to 2 decimal places)(3pts) Margin of Error (Round to 4 decimal places)(3pts) CI (Round to 4 decimal places)(1pt) Interpretation:

Solve the problem.The scores on a certain test are normally distributed with a mean score of 60 and a standard deviation of 5. What is the probability that a sample of 90 students will have a mean score less than 60.527? Make sure to first define x-bar and check its normality before calculating the probability (5pts)Define x bar:x bar is normal because: Prob=

Find the domain and range.{(12,3), (12,-4), (-6,-8), (8,-6), (11,-5)}

Evaluate the function.Find f(-11) when f(x) = 2x + 4

Evaluate the function.Find f(3) when f(x) = x2 + 5x + 5.

x3 + 12×2 + 36x

The pythagorean theorem states that (leg)2 + (leg)2 = ()2.

Add the polynomials.(6×2 – 7x – 2) + (4×2 – 7x + 1)

(8a – 11)2

A toddler hears the neighbor’s dog growling. He has never heard a dog growl before, but he can tell by his older sister’s scared reaction that it is something to be afraid of and he runs to his mom crying. This is most clearly an example of