The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 104 out of a random sample of 200 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 60%? OYes No H X 19. 0° X O S Do OSO O

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one
of the recycling centers has been relocated. If 104 out of a random sample of 200 residents in the community said they recycle, is there enough evidence to
support the policy maker's claim at the 0.10 level of significance?
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
H₁ : 0
Ho
H₁:0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Is there enough evidence to support the policy maker's claim that the
proportion of residents who recycle is less than 60%?
Yes No
μ
XI
0=0
☐☐
X
O
S
OSO
<O
P
<Q
3
8
ロミロ
☐>0
1/5
Ayishatu V
Español
?
0
181
Aa
Transcribed Image Text:Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 104 out of a random sample of 200 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ : 0 Ho H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 60%? Yes No μ XI 0=0 ☐☐ X O S OSO <O P <Q 3 8 ロミロ ☐>0 1/5 Ayishatu V Español ? 0 181 Aa
According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 54 months. A researcher for a consumer advocate group tests
this by selecting 70 bulbs at random. For the bulbs in the sample, the mean lifetime is 56 months. It is known that the population standard deviation of the
lifetimes is 7 months. Can we conclude, at the 0.10 level of significance, that the population mean lifetime, u, of light bulbs made by this manufacturer differs
from 54 months?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H₁.
H₂₁:0
H₁:0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
and
(e) Can we conclude that the population mean lifetime of light bulbs made by
this manufacturer differs from 54 months?
OYes No
μ
XI
0=0
□□
X
O
S
≤
<
Р
S
<Q
010
ロミロ
>O
Español
Aa
?
0
Transcribed Image Text:According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 54 months. A researcher for a consumer advocate group tests this by selecting 70 bulbs at random. For the bulbs in the sample, the mean lifetime is 56 months. It is known that the population standard deviation of the lifetimes is 7 months. Can we conclude, at the 0.10 level of significance, that the population mean lifetime, u, of light bulbs made by this manufacturer differs from 54 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂₁:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) and (e) Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 54 months? OYes No μ XI 0=0 □□ X O S ≤ < Р S <Q 010 ロミロ >O Español Aa ? 0
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