Question

Null hypothesis is the hypothesis that the researcher is trying to disprove.It is denoted by H0

Alternative hypothesis is the hypothesis that the researcher is trying to prove. It is reverse of null hypothesis and denoted by Ha

Lets take an case where we need to test the claim which says the mean weight of the student in class of 50 students exceeds 150 pounds

Here, the thing we are trying to prove is mean(u) >150

Thus, as discussed

Null Hypothesis - hypothesis that the researcher is trying to disprove: u <= 150

Alternative Hypothesis - hypothesis that the researcher is trying to prove: u > 150

Once we state the null hypothesis we find test statistic and corresponding p value

If p value <= 0.05 we reject null hypothesis

If p value > 0.05 we fail to reject null hypothesis

where, 0.05 is general level of significance

****Question-What do we need to find the test statistic?
How do we find it?**

Answer #1

This is the test for population mean for one sample.

So for this test we use either Z Statistic or t statistic .

To calculate this we need the sample size n , sample mean M and standard deviation.

If we know the population standard deviation then we will use Z statistic and it is given by

If we don't know the population standard deviation then we calculate the Sample standard deviation S and then we use t statictic and it is given by

Where is the population mean under the Null Hypothesis. Which is here 150 .

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
suppose Z...

Suppose that in a certain hypothesis test the null hypothesis is
rejected at the .10 level; it is also rejected at the .05 level;
however it cannot be rejected at the .01 level. The most accurate
statement that can be made about the p-value for this test is
that:
p-value = 0.01.
p-value = 0.10.
0.01 < p-value < 0.05.
0.05 < p-value < 0.10.
Complete the sentence: If we do not reject the null hypothesis,
we conclude that _____....

1. The P-value of a test of the null hypothesis is
a. the probability the null hypothesis is true.
b. the probability the null hypothesis is false.
c. the probability, assuming the null hypothesis is false, that
the test statistic will take a value at least as extreme as that
actually observed.
d. the probability, assuming the null hypothesis is true, that
the test statistic will take a value at least as extreme as that
actually observed.
2. The P-value...

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...

Suppose we want to test the null hypothesis H0 : p = 0.28
against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that
we observed 100 successes in a random sample of 400 subjects and
the level of significance is 0.05. What is the p-value for this
test?
a. 0.9563
b. 0.0901
c. 0.05
d. 0.1802

Part 1: Complete a hypothesis test:
A dietitian claims that 60% of people are trying to avoid trans
fats in their diets. She randomly selected 200 people and found
that 128 people stated that they were trying to avoid trans fats in
their diets. At alpha=0.05 , is there enough evidence to reject the
dietitian’s claim?
1) Hypothesize: State the null and
alternative hypothesis in words and symbols. (Ho and
Ha)
2) Prepare: State a significance level
and choose a...

lets say we take an SRS of people at campus and record all of
their ages. id like to use this to prove or disprove the claim that
the mean age of student at campus is over 22. now from our simple
random sample at campus of 207 people, we have a mean age of 21.84
with a sample standard deviation of 1.2. Run a hypothesis test to
find evidence for or against our claim.
A) What's our hypothesis?
B)...

Identify the null and alternative hypothesis(in symbolic and
sentence form), test statistic, P-value(or critical values),
conclusion about the null hypothesis, and final conclusion that
addresses the original claim (Don’t just say Reject the null
hypothesis or fail to reject the null hypothesis).
4. Test the claim that the mean age of the prison population in
one city is less than 26 years. Sample data are summarized as
n=25,x ̅=24.4,and s=9.2. Use a significance level of α=0.05.

1. Assume that a hypothesis test will be conducted with null
hypothesis H0: μ > 20.
Find the critical value for a sample with n = 15 and α = 0.05.
Group of answer choices
a. 2.145
b.-1.761
c. -1.753
2. The test statistic in a left-tailed test is z = -2.05.
Use this information to find the p-value.
Group of answer choices
a. 0.0202
b. 0.0453
c. 0.4798
0.5000

Questions D-F
d) You conduct a hypothesis test for the
population proportion. After you calculate the z test statistic,
you find that your p-value = 0.059. Using alpha (α) = 0.05 level of
significance, what is your decision regarding the null hypothesis?
Choose from the following.
- Reject the null hypothesis and reject the alternative
hypothesis
- Accept the null hypothesis
- Do not reject the null hypothesis
- Reject the null hypothesis and accept the alternative
hypothesis
e) You...

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