4. It has been accepted that 40% or less of households changed their driving habits because of escalating gas prices. However, a popular energy company challenges that less than 40% of households have changed their driving habits because of escalating gas prices. Their recent survey of 180 households finds that 70 households have made lifestyle changes due to escalating gas prices. (hint: first calculate the sample proportion) At a 10% level of significance, test the energy company's challenge. Ho: Ha: p < 0.40 _crit = __stat = Decision: α = pvalue= tail

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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4. It has been accepted that 40% or less of households changed their driving habits
because of escalating gas prices. However, a popular energy company challenges that
less than 40% of households have changed their driving habits because of escalating
gas prices.
Their recent survey of 180 households finds that 70 households have made lifestyle
changes due to escalating gas prices. (hint: first calculate the sample proportion)
At a 10% level of significance, test the energy company's challenge.
H₂:
Ha: p < 0.40
____crit =
___stat =
Decision:
α =
pvalue =
tail
Transcribed Image Text:4. It has been accepted that 40% or less of households changed their driving habits because of escalating gas prices. However, a popular energy company challenges that less than 40% of households have changed their driving habits because of escalating gas prices. Their recent survey of 180 households finds that 70 households have made lifestyle changes due to escalating gas prices. (hint: first calculate the sample proportion) At a 10% level of significance, test the energy company's challenge. H₂: Ha: p < 0.40 ____crit = ___stat = Decision: α = pvalue = tail
6. A university wants to promote the graduates of its honors program. At present it is
stated that the GPA of the graduates is 3.5 or below. The university wants to prove at
a 90% confidence that the mean GPA of these graduates is greater than 3.5. A sample
of 25 university honors program students is taken and is found to have a mean GPA
equal to 3.6. The sample standard deviation is 0.40.
H₂:
H₂:
_crit =
_stat =
Decision:
tail
α =
pvalue=
Transcribed Image Text:6. A university wants to promote the graduates of its honors program. At present it is stated that the GPA of the graduates is 3.5 or below. The university wants to prove at a 90% confidence that the mean GPA of these graduates is greater than 3.5. A sample of 25 university honors program students is taken and is found to have a mean GPA equal to 3.6. The sample standard deviation is 0.40. H₂: H₂: _crit = _stat = Decision: tail α = pvalue=
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