A nursery claims that on average, at least ninety percent of the balsam trees planted will survive. You test this at a level of significance of

=0.05 using 49 randomly chosen trees and finding that only 25 survived.

a. (4 pts) Write the null hypothesis and alternative hypothesis. Is this a right, left or two tailed test?

b. (4 pts) Does this test use a z- or t-test statistic? Calculate the test statistic.

c. (4 pts) Complete one of the following.

i. Use the test statistic to find the P-value

ii. Use the level of significance to find the critical values and draw a picture of the sampling distribution showing the rejection region(s).

d. (4 pts) Is the null hypothesis rejected? Explain.

e. (4 pts) At the 5% significance level, do the data provide sufficient evidence to support the conclusion that the proportion of trees surviving is at least 90%? Explain