a. Specify the null and alternative hypotheses for testing this claim. b. For this​ problem, what is a Type I​ error? A Type II​ error? c. The observed significance​ level, or​ p-value, for a specific statistical test is the probability​ (assuming μ0 is​ true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis, and supportive of the alternative​ hypothesis, as the actual one computed from the sample data. Locate the​ p-value on the printout.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Question

a. Specify the null and alternative hypotheses for testing this claim.
b. For this​ problem, what is a Type I​ error? A Type II​ error?

c. The observed significance​ level, or​ p-value, for a specific statistical test is the probability​ (assuming
μ0
is​ true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis, and supportive of the alternative​ hypothesis, as the actual one computed from the sample data.

Locate the​ p-value on the printout.
 
​p-value=?




A study analyzed the sustainability behaviors of CPA corporations. The level of support for
corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was
obtained for each in a sample of 974 senior managers at CPA firms. The CEO of a CPA firm
claims that the true mean level of support for sustainability is 71. Complete parts a through e
below.
✪ Click the icon to view a printout of the analysis.
a. Specify the null and alternative hypotheses for testing this claim.
O A. Ho: μ = 71
O B. Ho: μ = 71
Ha: μ#71
Ha:μ>71
C. Ho: μ#71
H₂:μ=71
O D. Ho: μ=71
Ha: μ<71
Transcribed Image Text:A study analyzed the sustainability behaviors of CPA corporations. The level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for each in a sample of 974 senior managers at CPA firms. The CEO of a CPA firm claims that the true mean level of support for sustainability is 71. Complete parts a through e below. ✪ Click the icon to view a printout of the analysis. a. Specify the null and alternative hypotheses for testing this claim. O A. Ho: μ = 71 O B. Ho: μ = 71 Ha: μ#71 Ha:μ>71 C. Ho: μ#71 H₂:μ=71 O D. Ho: μ=71 Ha: μ<71
Table of results from a statistical analysis.
upport
upport
One-Sample Statistics
N
974
t
- 8.482
Mean
67.77
df
973
Std.
Deviation
26.698
Std. Error
Mean
0.855
One-Sample Test
Test Value = 71
Sig.
(2-tailed)
0.000
Mean
Difference
-7.234
I
95% Confidence
Interval of the
Difference
Lower
- 8.83
Upper
- 5.43
Transcribed Image Text:Table of results from a statistical analysis. upport upport One-Sample Statistics N 974 t - 8.482 Mean 67.77 df 973 Std. Deviation 26.698 Std. Error Mean 0.855 One-Sample Test Test Value = 71 Sig. (2-tailed) 0.000 Mean Difference -7.234 I 95% Confidence Interval of the Difference Lower - 8.83 Upper - 5.43
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