hypothesis testing HO HA ect

shawtybabi09 said:

Section 7.1 : Introduction to Hypothesis Testing
1. State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. (References: Definition of a statistical hypothesis on page 365, example 1 on page 366 and example 3 on page 371; end of section exercises 19 – 22 page 375, 23 – 28 page 376)

a. In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%.
(4 points)

Answer: claim:
H0 :
Ha :
Test :

b. Convicted murderers receive a sentence of an average of 18.7 years in prison. A criminologist wants to perform a hypothesis test to determine whether the mean sentence by one particular judge differs from 18.7 years. (4 points)

Answer: claim:
H0 :
Ha :
Test :


Section 7.2: Hypothesis Testing for the Mean (Large Samples)
Use the guidelines at the end of the project.

2. Convicted murderers receive a sentence of an average of 18.7 years in prison. A criminologist wants to perform a hypothesis test to determine whether the mean sentence by one particular judge differs from 18.7 years. A random sample of 40 cases from the court files from this judge is taken. It is found that sample mean is 17.2 years. Assume that the population standard deviation is 7.4 years. Test at the 0.05 significance level.

a. Use the critical value t0 method from the normal distribution.
(References: example 7 though 10 pages 385 - 388, end of section exercises 39 – 44 pages 392 - 393) (6 points)

1. H0 :
Ha :
2. ? =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:


b. Use the P-value method.
(References: example 1 though 5 pages 379 - 383, end of section exercises 33 – 38 pages 391 - 392) (6 points)


1. H0 :
Ha :
2. ? = 0.05
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:

Section 7.3: Hypothesis Testing for Mean (Small Samples)

3. Metro Bank claims that the mean wait time for a teller during peak hours is less than 4 minutes. A random sample of 20 wait times has a mean of 2.6 minutes with a sample standard deviation of 2.1 minutes. Assume the distribution is normally distributed.

a. Use the critical value t0 method from the normal distribution to test for the population mean ?. Test the company’s claim at the level of significance ? = 0.05.
(References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (6 points)


1. H0 : µ=.04
Ha : µ?.04
2. ? = 0.05 or -1.64
3. Test statistics: Not sure about this nor anything else from there on so I'm wondering if the first parts were correct in what I determined?
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:


b. Use the critical value t0 method from the normal distribution to test for the population mean ?. Test the company’s claim at the level of significance ? = 0.01
(References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (6 points)


1. H0 :
Ha :
2. ? =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:


Section 7.4: Hypothesis Testing for Proportions.

4. In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%. Let ? = 0.01. (Round phat to 2 decimal places.)

(References: examples 1 through 3 pages 408 - 410, end of section exercises 9 - 14 pages 411 - 412) (8 points)


1. H0 :
Ha :
2. ? =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:

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