A random sample of 857 births In a state Included 425 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.509. Do these sample results provide strong evidence against that belief?

Construct a 95% confidence interval estimate of the proportion of boys in all births.

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Do these sample results provide strong evidence against that belief?

A. There is strong evidence against 0.509 as the value of the proportion of boys in all births because 0.509 is contained within the 95% confidence interval.

B. There is not strong evidence against 0.509 as the value of the proportion of boys in all births because 0.509 is not contained within the 95% confidence interval.

C. There is strong evidence against 0.509 as the value of the proportion of boys in all births because 0.509 is not contained within the 95% confidence interval.

D. There is not strong evidence against 0.509 as the value of the proportion of boys in all births because 0.509 is contained within the 95% confidence interval.

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean, x¯\bar{x}xˉ, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.�

According to statistics reported on CNbC, a surprising number of motor vehicles are not covered by insurance. Sample results, consistent with the CNbC report, showed 46 of 200 vehicles were not covered by insurance. a. What is the point estimate of the proportion of vehicles not covered by insurance? b. Develop a 95% confidence interval for the population proportion.

1.The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The Monday night (ages 8 to 12) beginning ice-skating class was picked. In that class, there were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls (ages 8 to 12) in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

Define the random variable X.