Hypothesis Testing:
For both problems answer the following.

a) What is the level of significance? State null and alternate hypothesis.
b) What sampling distribution will you use? do you think the sampling size is sufficiently large? Explain, What is the value of the sample test statistics?
c) Find p-value of the test statistics,
d) Based on your answers in parts a & c, will you reject or fail to reject the null hypothesis? are the data statistically significance at level a?
e) State your conclusion in the context of the application.

1) College Athletics: Graduation Rate. Women Athletes at the University of Colorado Boulder have a long term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university of Colorado Boulder is now less than 67%. Use a 5% level of significance.

2) Fishing Northern Pike. Athabasca Fishing Lodge is located on Lake Athabasca in northern Canada. In one of its recent brochures, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 64 out of a random sample of 83 guests did, in fact catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use = 0.05.

A sample of 120 observations revealed that p = .30. At the 0.05 significancelevel, can the null hypothesis be rejected?
a) state the decision rule
b)compute the value of the test statistic
c)what is your decision regarding the null hypothesis?

In hypothesistesting, how are verbal problem statements converted to numerical problem statements?
Why might one choose a lower rather than a higher level of significance in doing a hypothesis test?

Please explain in your own words:
1. Define the null hypothesis. If the null hypothesis is rejected then?
2. The level of significance is the?
3. Type II error is committed when?
4. The level of significance in hypothesistesting is the probability of?
Please explain and show all calculations.
5. If n=16, me

Test the given claim by using the traditional method of testinghypothesis.
Coke cans: n=36, mean of values in sample = 12.19 oz., s= 0.11 oz. Test the claim that the mean equals 12 oz. Use a significancelevel of alpha = 0.02.

1. What are the null and alternate hypotheses for this test? Why?
2. What is the critical value for this hypothesis test using a 5% significancelevel?
3. Calculate the test statistic and the p-value using a 5% significancelevel.
4. State the decision for this test.
5. Determine the confidence interval level that would be a

A study of 20 families in a certain large city showed that the average income was $33,210 in 2000 with a standard deviation of $1800. Test the hypothesis that the true average income in this city was actually $31,000 against the hypothesis that it was more. Use a level of significance of 5% (hint: This is a one-sided test).

10.2
The following information is available.
H0: µ ≤ 10
H1: µ > 10
The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significancelevel.
10.10
H0: = .40
H1: ≠ .40
A sample of 120 observations revealed that p = .30. At the .05 significancelevel, can the nul

6. a. Compute the correlation between age in months and number of words known.
b. Test for the significance of the correlation at the .05 level of significance.
c. Interpret this correlation.
(see attached file for data)

18. The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7. Using the

You conduct a survey of a sample of 25 members of this year's graduating marketing students and find that the average GPA is 3.2. The standard deviation of the sample is 0.4. Over the last 10 years, the average GPA has been 3.0. Is the GPA of this year's students significantly different from the long-run average? At what alpha l