A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.81, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H X H:0 H₁ :0 口く口 Oso 020 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) X (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $7.76. Fill in the blanks to describe a Type II error. ▼ A Type II error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) when, in fact, is (Choose one) U acer ← →> A Check esc ! 2 # 3 C $ 4 5 % 5 6 & O 7 El 2022 M * 8 0=0 00 3 ?

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A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly
wage last year was $8.08, and there is good reason to believe that this year's value is less than last year's.
The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean
of the sample to be $7.81, and computes the standard deviation of the sample to be $1.20.
Based on this information, complete the parts below.
(a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test?
H
X
H:0
H₁ :0
OSO
020 0=0
(b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making?
(Choose one) ▼
X
3
(c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $7.76. Fill in the blanks to
describe a Type II error.
the hypothesis that u is (Choose one)
▼
A Type II error would be (Choose one)
(Choose one) when, in fact, is (Choose one)
C
acer
←
→>>
A
Check
esc
!
@
2
V
#
3
C
$
4
F
%
5
6
&
7
2022 M
*
8
0>0
?
16
Transcribed Image Text:A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.81, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H X H:0 H₁ :0 OSO 020 0=0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ X 3 (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $7.76. Fill in the blanks to describe a Type II error. the hypothesis that u is (Choose one) ▼ A Type II error would be (Choose one) (Choose one) when, in fact, is (Choose one) C acer ← →>> A Check esc ! @ 2 V # 3 C $ 4 F % 5 6 & 7 2022 M * 8 0>0 ? 16
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