NOTE: Please Make sure to include details of work solution with all formulas (test statistic), Confidence Interval, etc. (show working for all)

1.United States Census Bureau reported that 59% of residents of Idaho have a bachelor's degree or higher. If a poll of 314 randomly selected citizens showed a result of 45% of them have obtained a bachelor's degree or higher.

1. Identify the claim and express the original claim in symbolic form, and construct the null and alternative hypotheses.

Claim:

H0:

HA:

b.Given the following 95% confidence interval (0.394, 0.5041), how would you interpret this in words.

2.The Alaskan Tennis Association, randomly tagged Tennis players in Alaska, and took the weights of the tagged Tennis players in pounds:

159197203206241278285308215215160190198166

1. What information do you need in order to construct a 95% confidence interval with the above prompt information?

a) x, s,

b) x, s, ,

c) x, s,n,

d) x, n,

1 b) Based on the 95% confidence interval (188.9,242.7), can we safely conclude the population mean weight is greater than 196.2? Why?

c. Now suppose is known to be 29 pounds, construct the 95% CI.

d; With known, now does it seem possible that the population mean weight is greater than 196.2 use the results from part C and explain why