Question

**PUBH 6033—Week 5 Assignment:**

**Steps to Hypotheses Testing**

**Instructions**

For this Assignment, review this week’s Learning Resources, including the 5 step approach to hypothesis testing document. Read the research scenario, below, and then answer the questions related to the steps that must be followed to make the appropriate decision as to reject or fail to reject the null hypothesis.

**Submit this Application Assignment by Day
7.**

---------------------------------------------------------------------------------------------------------------------

Research Scenario

Hemoglobin levels (g/dL) from the general population of adult men form a normal distribution with m = 15.3 and s = 0.95. Several studies have shown that vegans and vegetarians suffer from lower than normal hemoglobin levels, which indicates anemia. Using clinical data, a researcher measured hemoglobin levels from a sample of n = 64 adult men who followed a vegan or vegetarian diet. The average hemoglobin level (g/dL) for this sample was x? = 14.2. Do these data indicate that following a vegan or vegetarian diet has a significant effect on hemoglobin levels? Test with p=.05.

**Note**

µ = population mean

x? = sample mean

= standard deviation

---------------------------------------------------------------------------------------------------------------------

**Note: Each response is worth 6 points**

**Step 1: Set up your hypothesis and determine the level
of significance**

State the null hypothesis

In written format

*Answer:*

In mathematical format

*Answer:*

State the alternative hypothesis

In written format

*Answer:*

In mathematical format

*Answer:*

Determine the Level of significance

Based on information in the scenario, what is the level of significance to be used?

*Answer:*

**Step 2: Select the appropriate test
statistic**

The appropriate test statistic for the above scenario is the one-sample z test. What is a Z test? Describe why this is the appropriate test for the scenario?

*Answer:*

**Step 3: Set up the decision rule**

Based on the level of significance you set in Step 1 (Question 5) and whether your alternative hypothesis is directional or non-directional, what is your decision rule? (In other words, what is your rejection region?)

*Answer:*

**Step 4: Compute the test statistic**

Calculate the z statistic. Please show your work.

*Answer:*

**Step 5: Conclusion**

9. Do you reject or fail to reject the null hypothesis?

*Answer:*

10. Are hemoglobin levels affected by a vegan or vegetarian diet?

*Answer:*

Answer #1

Research Scenario
Hypertension is defined as a systolic blood pressure (SBP)
of 140 mmHg or more, or a diastolic blood pressure (DBP) of 90 mmHg
or more. Diastolic blood pressure (DBP) measurements from the
general population form a normal distribution with m = 82 mmHg and
s = 10 mmHg. Epidemiological studies have shown that obesity
increases the risk of hypertension (high DBP). Using data from a
cohort study, a researcher obtained a sample of n = 144 obese
persons...

The following hypotheses are given.
H0: p ≤ 0.45
H1: p > 0.45
A sample of 140 observations revealed that
= 0.35. At the 0.10 significance level, can the null
hypothesis be rejected?
a. State the decision rule. (Round the
final answer to 3 decimal places.)
(Click to select) Reject Not
reject H0 and (Click to
select) and accept and
reject H1 if z
> or z < .
b. Compute the value of the test statistic.
(Round the final answer to 2 decimal places.)
Value of the test...

Perform a hypothesis for the null and alternative
hypotheses:
??:?? =? ??:?? <?
The following is the sample information.
?̅=?.? ?? =?.? ?=?? ?=?.??
a. (1 point) Calculate the appropriate test statistic, p-value,
and give a general conclusion of reject or fail to reject the null
hypothesis based on the significance level. Show all work
b. (1 point) Now suppose you know ?? = 1.2. Calculate the
appropriate test statistic, p-value and give a general conclusion
of reject or fail...

The director of research and development is testing a new drug.
She wants to know if there is evidence at the 0.02 level that the
drug stays in the system for more than 319 minutes. For a sample of
68 patients, the mean time the drug stayed in the system was 324
minutes. Assume the population variance is known to be 625.
Step 1 of 6: State the null and alternative hypotheses.
Step 2 of 6:
Find the value of...

The average cholesterol level in the general US
population is 189 mg/dL. A researcher wants to see if the average
cholesterol for men in the US is different from 189 mg/dL. She
takes a sample of 81 American males and finds a sample mean of 194
mg/dL and a sample standard deviation of 10.4
What is the 90% confidence interval? What is the correct
interpretation of the confidence interval from question 11? Are the
assumptions met? Explain.
Conduct a hypothesis...

The following steps
explain how to do a Hypothesis Test.
Step 1: Specify the Null Hypothesis. ...
Step 2: Specify the Alternative Hypothesis. ...
Step 3: Set the Significance Level α
Step 4: Calculate the Test Statistic and Corresponding P-Value.
...
Step 5 If the P-Value < α
We reject the null hypothesis
Let us assume that a
dealer claims the gas mileage of a specific model of a car is
greater than 25 miles per gallon.
What is the...

The director of research and development is testing a new
medicine. She wants to know if there is evidence at the 0.02 level
that the medicine relieves pain in more than 347 seconds. For a
sample of 51 patients, the mean time in which the medicine relieved
pain was 351 seconds. Assume the population variance is known to be
576.
Step 1 of 6:
State the null and alternative hypotheses.
Step 2 of 6:
Find the value of the test...

The director of research and development is testing a new drug.
She wants to know if there is evidence at the 0.05 level that the
drug stays in the system for more than 316 minutes. For a sample of
34 patients, the mean time the drug stayed in the system was 319
minutes. Assume the population variance is known to be 441.
Step 2 of 6: Find the value of the test statistic. Round your
answer to two decimal places....

A random sample of 130 recent donations at a certain blood bank
reveals that 48 were type A blood. Does this suggest that the
actual percentage of Type A donations differs from 39%, the
percentage of the population having Type A blood? [Answer the
questions, where appropriate, using 4 digits after
decimal.]
What are the appropriate hypotheses to test?
The test-statistic formula is:
Rejection region: We reject H0 at 1% level
of significance if:
z < −2.356.
z > 2.356....

The following hypotheses are given.
H0 : π ≤ 0.83
H1 : π > 0.83
A sample of 140 observations revealed that p = 0.88. At
the 0.05 significance level, can the null hypothesis be
rejected?
State the decision rule. (Round your answer to 2 decimal
places.)
Compute the value of the test statistic. (Round your
answer to 2 decimal places.)
What is your decision regarding the null hypothesis?
Do not reject H0.
Reject H0.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 17 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 21 minutes ago

asked 51 minutes ago

asked 55 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago