Suppose a random sample of 100 observations from a binomial population gives a value of ModifyingAbove p with caretequals0.76 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is greater than 0.70.

a) nothing that p = .63, what does your intuition tell you? does the value of p appear to contradict the null hypothesis?

b) use the large-sample z-test to test H0: p = .70 against the alternative hypothesis, Ha: p < 70. Use a = .05. How do the test results compare with your intuitive decision from part A?

c) find and interpret the observed significance level of the test you conducted in part B.

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?

The olympic-size pool at the recreational center is a right rectangular prism 50m long and 25m wide. the pool contains 3000m of water. how deep is the water in the pool?

Kaitlin is on s long car trip.every time she stops to buy gas,she loses 15 minutes of travel time.if she has to stop 5 times,how late will she be getting to her destination?