Construct a confidence interval for p 1 minus p 2p1−p2 at the given level of confidence.   x 1 equalsx1=3232​, n 1 equalsn1=243243​, x 2 equalsx2=3333​, n 2 equalsn2=283283​, 9090​% confidence The researchers are nothing​% confident the difference between the two population​ proportions, p 1 minus p 2p1−p2​, is between   and   ​(Use ascending order. Type an integer or decimal rounded to three decimal places as​ needed.)

Only about 17% of all people can wiggle their ears. Is this percent different for millionaires? Of the 356 millionaires surveyed, 78 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance?   The test statistic=       (please show your answer to 3 decimal places.)   The p-value =              (Please show your answer to 3 decimal places.)

7. What is the 95% confidence interval for the difference in the population means, µ1 - µ2, given the data from the two independent samples: n1 =56, x1= 58.2, s1= 4.3, n2=45, x2=60.2, s2=5.5 B. [-3.28 , -0.72] C. [-3.60, -0.40] D. [-3.65 , -0.35] A. [-3.96 , -0.04] 8. What is the 98% confidence interval for the difference in the population means, µ1 - µ2, given: n1= 22, x1= 41.4, s1= 5.9, n2= 19, x2= 43.2, s2= 6.5  D. [-3.48 , -0.12] B. [-3.07 , -0.53] A. [-3.12, -0.48] C. [-3.18, -0.42]

A sample of 1100 observations taken from a population produced a sample proportion of 0.38. Make a 90 % confidence interval for Round your answers to three decimal places. = ( ) to ( )