Question
In: Statistics and Probability
Perform an appropriate hypothesis test for a population mean using the p-value approach. Last year, the...
Perform an appropriate hypothesis test for a population mean using the p-value approach.
Last year, the mean running time for a certain type of flashlight battery was 8.5 hours. This year, the manufacturer has introduced a change in the production method which he hopes will increase the mean running time. A random sample of 4 0 of the new light bulbs was obtained and the mean running time was found to be 8.7 hours. Do the data provide sufficient evidence to conclude that the mean running time, ȝ, of the new light bulbs is larger than last year's mean of 8.5 hours? Perform the appropriate hypothesis test using a significance level of 5%. Assume that ı = 0.5 hours.
Solutions
orchestra answered 2 years agoRelated Solutions
A statistician would like to construct a hypothesis test of the mean using the P-value approach....
A statistician would like to construct a hypothesis test of the
mean using the P-value approach. Rank the steps that the
statistician can follow to carry out this hypothesis test at a
level of significance of α. Note that there may be more than one
correct answer. Step Rank Collect sample data Define the null and
alternative hypotheses Draw a conclusion Calculate the P-value
Define the distribution of the test statistic Calculate the test
statistic
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0H0: p equals=0.7
versus
Upper H1: pgreater than>0.7
nequals=200
xequals=145
alpha equals=0.01
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0: p = 0.3 versus Upper H 1: p > 0.3 n = 200; x =
80; a = 0.05
Test the hypothesis using the? P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the? P-value approach. Be sure to
verify the requirements of the test. Upper H 0?: pequals0.6 versus
Upper H 1?: pgreater than0.6 nequals125?; xequals80?,
alphaequals0.1 Is np 0 left parenthesis 1 minus p 0 right
parenthesisgreater than or equals?10? Yes No Use technology to find
the? P-value. ?P-valueequals nothing ?(Round to three decimal
places as? needed.) ? Do not reject Reject the null? hypothesis,
because the? P-value is ? less greater than alpha.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. Ho:p=0.74 versus H1:p(not
equal) to 0.74 N= 500, x= 360, a= 0.05 Is npo (1-po)_>10? A. No,
because np0(1-p0)=? B. Yes, because np0(1-p0)=?.
Now Find P (with carrot on top)=?
Find the test statistic z0=?
Find the P-value=?
State the conclusion of the hypothesis test.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
H0: p=0.47 versus H1: p<0.47 n=150, x= 66, a=0.05
a) Is np0 (1-p0)> 10? b) What is the p-value? c) Should the
hypothesis be rejected?
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0H0:
pequals=0.60.6
versus
Upper H 1H1:
pgreater than>0.60.6
nequals=125125;
xequals=8080;
alphaαequals=0.010.01
Click here to view page 1 of the table.
LOADING...
Click here to view page 2 of the table.
LOADING...
Calculate the test statistic,
z 0z0.
z 0z0equals=nothing
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. H0: p=0.91 versus H1:
p≠0.9
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test. H0: p=0.55 versus H1:
p<0.55
n=150, x=72, α=0.01
Is np01−p0≥10?
No
Yes
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test....
Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0 : p equals 0.58 versus Upper H 1 : p less than 0.58H0:
p=0.58 versus H1: p<0.58
n equals 150 comma x equals 81 comma alpha equals 0.01n=150,
x=81, α=0.01
Is
np 0 left parenthesis 1 minus p 0 right parenthesis greater than
or equals 10np01−p0≥10?
No
Yes
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