A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At x = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 86,678 81,200 92,078 OA. Ho:μ ≥ 83,000 Ha: μ< 83,000 (a) Identify the null hypothesis and alternative hypothesis. O D. Ho: μ>83,000 Ha: ≤83,000 Z= 92,111 93,702 94,918 (b) Identify the standardized test statistic. 94,559 75,990 70,455 97,281 92,991 85,099 OB. Ho: μ=83,000 H₂: μ#83,000 E. Ho: μ≤ 83,000 Ha: μ>83,000 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 72,826 85,388 87,528 OC. Ho: μ#83,000 H₂: μ =83,000 OF. Ho: μ>83,000 Ha: μ≤ 83,000 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) 86,979 91,704 70,712

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A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally
distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At
α = 0.09, is there enough evidence to support the claim? Use technology.
72,733
77,504
71,710
86,678
81,200
92,078
92,111
93,702
94,918
D. Ho: μ> 83,000
H₂:μ≤ 83,000
(a) Identify the null hypothesis and alternative hypothesis.
A. Ho: μ ≥83,000
Ha: μ< 83,000
94,559
75,990
70,455
(b) Identify the standardized test statistic.
97,281
92,991
85,099
B. Ho: μ =83,000
Ha: μ#83,000
E. Ho: μ≤83,000
Ha: μ> 83,000
92,720
87,943
92,455
92,975
95,640
99,029
93,895
83,864
70,547
72,826
85,388
87,528
C. Ho: μ#83,000
Ha: μ = 83,000
F. Ho: μ>83,000
Ha:μ≤83,000
Z=
(Round the final answer to two places as needed. Round all intermediate values to three places as needed.)
86,979
91,704
70,712
Transcribed Image Text:A politician claims that the mean salary for managers in his state is more than the national mean, $83,000. Assume the the population is normally distributed and the population standard deviation is $8900. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.09, is there enough evidence to support the claim? Use technology. 72,733 77,504 71,710 86,678 81,200 92,078 92,111 93,702 94,918 D. Ho: μ> 83,000 H₂:μ≤ 83,000 (a) Identify the null hypothesis and alternative hypothesis. A. Ho: μ ≥83,000 Ha: μ< 83,000 94,559 75,990 70,455 (b) Identify the standardized test statistic. 97,281 92,991 85,099 B. Ho: μ =83,000 Ha: μ#83,000 E. Ho: μ≤83,000 Ha: μ> 83,000 92,720 87,943 92,455 92,975 95,640 99,029 93,895 83,864 70,547 72,826 85,388 87,528 C. Ho: μ#83,000 Ha: μ = 83,000 F. Ho: μ>83,000 Ha:μ≤83,000 Z= (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) 86,979 91,704 70,712
A humane society claims that less than 72% of households in a certain country own a pet. In a random sample of 400 households in that country, 272
say they own a pet. At α = 0.10, is there enough evidence to support the society's claim? Complete parts (a) through (c) below.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
A. Less than 72 % of households in the country own a pet.
B. % of households in the country own a pet.
C. More than % of households in the country own a pet.
D. The percentage households in the country that own a pet is not
Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H₂. Select the correct
choice below and fill in the answer boxes to complete your choice.
a
(Round to two decimal places as needed.)
A. Ho: p²
Ha: p<
D. Ho: P=
Ha: p
B. Ho: ps
Ha:p>
E. Ho: p
%.
Ha: p=
C. Ho: P<
Ha:p²
F. Ho:p>
Ha:ps
Transcribed Image Text:A humane society claims that less than 72% of households in a certain country own a pet. In a random sample of 400 households in that country, 272 say they own a pet. At α = 0.10, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 72 % of households in the country own a pet. B. % of households in the country own a pet. C. More than % of households in the country own a pet. D. The percentage households in the country that own a pet is not Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H₂. Select the correct choice below and fill in the answer boxes to complete your choice. a (Round to two decimal places as needed.) A. Ho: p² Ha: p< D. Ho: P= Ha: p B. Ho: ps Ha:p> E. Ho: p %. Ha: p= C. Ho: P< Ha:p² F. Ho:p> Ha:ps
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