Question

A recent article reported that a job awaits only one in three (0.33) new college graduates. The major reasons given were an overabundance of college graduates and a weak economy. A survey of 200 recent graduates from your school revealed that 80 students had jobs. At the .01 significance level, can we conclude that a larger proportion of students at your school have jobs?

A The Null Hypothesis is:

a Job awaiting new college graduates is _______.

b Job awaiting new college graduates is greater than _______.

c Job awaiting new college graduates is less than _______.

d Job awaiting new college graduates is not equal to _______.

Answer the question by: Selecting the appropriate letter and then entering the correct number for the Null Hypothesis. Enter numerical value of the Null Hypothesis as a fraction or a 2 place decimal with a 0 to the left of the decimal point.. ______ ______

B The Alternate Hypothesis is:

a Job awaiting new college graduates is equal to ______.

b Job awaiting new college graduates is greater than ______.

c Job awaiting new college graduates is less than ______.

d Job awaiting new college graduates is not equal to ______.

Answer the question by: Selecting the appropriate letter and then entering the correct number for the Alternate Hypothesis. Enter numerical value of the Alternate Hypothesis as a fraction or a 2 place decimal with a 0 to the left of the decimal point.. _______ _____

C The appropriate distribution is:

a Uniform Distribution

b Normal Distribution

c t Distribution d Chi Square Distribution

________

The Hypothesis test is a:

a Left tail test

b Right tail test

c Two tail test

Enter the appropriate letters for answering the questions in the same order in which the questions are asked. ______ ______

D Select and enter the letter for the appropriate decision rule. Decision: rule

a Ha hypothesis: If the Pvalue is equal to or greater than the significance level of the test.

b Ha hypothesis: If the Pvalue is equal to or less than the significance level of the test.

c Ho hypothesis: If the Pvalue is equal to or less than the significance level of the test.

______

E The numerical value of the test statistic is: Enter answer rounded to 1 decimal place. ______

F What is the Pvalue for the Hypothesis Test? Enter answer as a decimal rounded to 3 places with a zero to the left of the decimal point. Do not enter answer as a percent. ______

G Hypothesis Test Decision:

a Null Hypothesis: Do not reject the null hypothesis. The data does not support the Alternate Hypothesis.

b Alternate Hypothesis: Reject the null hypothesis. The data supports the Alternate Hypothesis.

c Cannot be determined because the data set is a sample.

Enter the correct answer by selecting the appropriate letter. ______

Answer 1

A). The Null Hypothesis is: a. Job awaiting new college graduates is 0.33. B. The Alternate Hypothesis is: b. Job awaiting new college graduates is greater than 0.33. C. The appropriate distribution is: b. Normal Distribution. The Hypothesis test is a: b. Right tail test. D. Decision rule: b. H, hypothesis: If the P value is equal to or less than the significance level of the test. E) EXCEL (Mega Stat) output:

Hypothesis test for proportion vs hypothesized value Observed Hypothesized 0.4 0.33 p (as decimal) 80/200 66/200 p (as fraction) 80. 66. X 200 n 200 0.0332 std. error 2.11 z 0176 p-value (one-tailed, upper) The value of the test statistic is: z = 2.1. F. P-value for the Hypothesis Test: P-value = 0.018.

G. Hypothesis Test Decision: a. Null Hypothesis: Do not reject the null hypothesis. The data does not support the Alternate Hypothesis.