The null hypothesis: H, :0 The alternative hypothesis: |# :0 The type of test statistic: (Choose one) The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we support the claim that the life expectancy in Belgium is greater than the life expectancy in the United States?
The null hypothesis: H, :0 The alternative hypothesis: |# :0 The type of test statistic: (Choose one) The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we support the claim that the life expectancy in Belgium is greater than the life expectancy in the United States?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hypothesis test for the difference of population
![According to the historical data, the life expectancy in Belgium is less than or equal to the life expectancy in the United States. A new study has been made to
see whether this has changed. Records of 270 individuals from Belgium who died recently are selected at random. The 270 individuals lived an average of 78.3
years with a standard deviation of 7.0 years. Records of 235 individuals from the United States who died recently are selected at random and independently. The
235 individuals lived an average of 76.6 years with a standard deviation of 6.5 years. Assume that the population standard deviations of the life expectancies
can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there
enough evidence to support the claim that the life expectancy, 4, in Belgium is greater than the life expectancy, l,, in the United States? Perform a one-tailed
test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
p
The null hypothesis:
H, :0
The alternative hypothesis:
H :0
O=0
OSO
The type of test statistic:
(Choose one) v
The value of the test statistic:
(Round to at least three
decimal places.)
The critical value at the 0.05
level of significance:
(Round to at least three
decimal places.)
Can we support the claim that the life expectancy
in Belgium is greater than the life expectancy in the
United States?
Yes
O No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b556015-6aa8-4dc1-96b2-1294baf1f007%2F00c376d5-0a20-4f16-92f8-8e8ec088e9f2%2Fhi4650x_processed.png&w=3840&q=75)
Transcribed Image Text:According to the historical data, the life expectancy in Belgium is less than or equal to the life expectancy in the United States. A new study has been made to
see whether this has changed. Records of 270 individuals from Belgium who died recently are selected at random. The 270 individuals lived an average of 78.3
years with a standard deviation of 7.0 years. Records of 235 individuals from the United States who died recently are selected at random and independently. The
235 individuals lived an average of 76.6 years with a standard deviation of 6.5 years. Assume that the population standard deviations of the life expectancies
can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there
enough evidence to support the claim that the life expectancy, 4, in Belgium is greater than the life expectancy, l,, in the United States? Perform a one-tailed
test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
p
The null hypothesis:
H, :0
The alternative hypothesis:
H :0
O=0
OSO
The type of test statistic:
(Choose one) v
The value of the test statistic:
(Round to at least three
decimal places.)
The critical value at the 0.05
level of significance:
(Round to at least three
decimal places.)
Can we support the claim that the life expectancy
in Belgium is greater than the life expectancy in the
United States?
Yes
O No
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