The US Department of Energy reported that more than 57% of homes were heated by natural gas. A random sample of 456 homes in Oregon found that 286 were heated by natural gas. Test the claim using a 10% significance level. a. What type of test will be used in this problem? A test for a proportion b. What evidence justifies the use of this test? Check all that apply O The original population is approximately normal O The population standard deviation is not known O The population standard deviation is known Onp> 5 and nq > 5 The sample standard deviation is not known O There are two different samples being compared The sample size is larger than 30 c. Enter the null hypothesis for this test. Hop? d. Enter the alternative hypothesis for this test. H₁: P ?v

MATLAB: An Introduction with Applications
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The US Department of Energy reported that more than 57% of homes were heated by natural gas.
A random sample of 456 homes in Oregon found that 286 were heated by natural gas. Test the
claim using a 10% significance level.
a. What type of test will be used in this problem?
A test for a proportion
b. What evidence justifies the use of this test? Check all that apply
O The original population is approximately normal
O The population standard deviation is not known
O The population standard deviation is known
Onp> 5 and nq > 5
The sample standard deviation is not known
O There are two different samples being compared
The sample size is larger than 30
c. Enter the null hypothesis for this test.
Hop?
d. Enter the alternative hypothesis for this test.
H₁: p?
e. Is the original claim located in the null or alternative hypothesis?
Select an answer
of 100
Transcribed Image Text:The US Department of Energy reported that more than 57% of homes were heated by natural gas. A random sample of 456 homes in Oregon found that 286 were heated by natural gas. Test the claim using a 10% significance level. a. What type of test will be used in this problem? A test for a proportion b. What evidence justifies the use of this test? Check all that apply O The original population is approximately normal O The population standard deviation is not known O The population standard deviation is known Onp> 5 and nq > 5 The sample standard deviation is not known O There are two different samples being compared The sample size is larger than 30 c. Enter the null hypothesis for this test. Hop? d. Enter the alternative hypothesis for this test. H₁: p? e. Is the original claim located in the null or alternative hypothesis? Select an answer of 100
iii. Unknown parameter: 0², population variance ✓
iv. Point estimate: sample variance, s² VV -
V. Confidence level 99
O
C
% and a =
a
a
005
and 1
2
2
o Critical values: (Round the answer to 3 decimal places)
left= 23.589 x right= 1.735 X
7
.619
-
.01 V
V
995
(Round the answer to 3 decimal pla
also
vi. Margin of error (if applicable): DNE (Round the answer to 3 decimal places)
vii. Lower bound:
(Round the answer to 3 decimal places)
Enter an integer or decimal number, with 3 decimal places [more..]
(Round the answer to 3 decimal places)
viii. Upper bound:
Part
Transcribed Image Text:iii. Unknown parameter: 0², population variance ✓ iv. Point estimate: sample variance, s² VV - V. Confidence level 99 O C % and a = a a 005 and 1 2 2 o Critical values: (Round the answer to 3 decimal places) left= 23.589 x right= 1.735 X 7 .619 - .01 V V 995 (Round the answer to 3 decimal pla also vi. Margin of error (if applicable): DNE (Round the answer to 3 decimal places) vii. Lower bound: (Round the answer to 3 decimal places) Enter an integer or decimal number, with 3 decimal places [more..] (Round the answer to 3 decimal places) viii. Upper bound: Part
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