Question

Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is

46.92.The value of the test statistic is found to be 1.02

1. If the null is tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is.

2. If the null is tested against the alternative hypothesis that the number of spam emails is more than 46.92, the smallest significance level at which you can reject the null hypothesis is

Answer #1

Answer)

As the sample size is quiet large

We can use standard normal z table

1)

Null hypothesis Ho : u = 46.92

Alternate hypothesis Ha : u not equal to 46.92

Test statistics is 1.02

From z table, P(z>1.02) = 0.1539

As the test is two tailed

P-value = 2*0.1539 = 0.3078

We reject the null hypothesis when p-value is less than the significance

So, we will reject this when we will have our significance level > 0.3078

Smallest one = 0.31

B)

Here test is one tailed

So, p-value = 0.1539

So, smallest significance level = 0.16

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...

_____11) If the null hypothesis is that the population mean is
equal to 150 and a sample
mean of 113 gave significant support against the
null hypothesis, which of the
following sample means would be certain to give
support against the null
hypothesis.
a)
114
b.)
122
c.)
264
d.)
112
_____12) If the p-value is less than the significance level, you
would .
a.) reject
the null hypothesis
b.) accept...

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...

Test the null hypothesis H0:p=0.5against the alternative
hypothesis HA:p<0.5, when 89 individuals in a random sample of
218 have a characteristic of interest.
Proportions are very sensitive to round-off error. Please
ensure that you attempt to round p^as little as possible.
a) Calculate the value of the z test statistic, for
testing the null hypothesis that the population proportion is
0.5.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following...

Test the null hypothesis H0:p=0.5against the alternative
hypothesis HA:p<0.5, when 92 individuals in a random sample of
219 have a characteristic of interest.
Proportions are very sensitive to round-off error. Please
ensure that you attempt to round p^as little as possible.
a) Calculate the value of the z test statistic, for
testing the null hypothesis that the population proportion is
0.5.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following...

In order to determine whether or not you will reject the null
hypothesis, the test statistic must be compared against
the____.
A) critical value
B) significance level
C) obtained value
D) p value

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 _____....

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...

Question 13 of 21
The null hypothesis is a claim about a:
A. parameter, where the claim is assumed to
be false until it is declared true
B. parameter, where the claim is assumed to
be true until it is declared false
C. statistic, where the claim is assumed to
be false until it is declared true
D. statistic, where the claim is assumed to
be true until it is declared false
Question 14 of 21...

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).
3. Test the claim that for the population of female college
students, the mean weight is given by μ=132 lb Sample data are
summarized as n=20,x ̅=137lb and s=14.2. Use a significance level
of α=0.10.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 22 minutes ago

asked 23 minutes ago

asked 26 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago