The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) Row Total 42 107 162 137 406 65 70 92 M.D. Lawyer Column Total 54 83 189 217

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
O p-value > 0.100
O 0.050 < p-value < 0.100
O 0.025 < p-value < 0.050
O 0.010 < p-value < 0.025
O 0.005 < p-value < 0.010
Op-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null
O Since the P-value > a, we fail to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
O Since the P-value < a, we reject the null hypothesis.
O Since the P-value s a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
At the 5 lovel of cianificanre there is insufficient evidence to conclude that Myer
Transcribed Image Text:What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O p-value > 0.100 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010 < p-value < 0.025 O 0.005 < p-value < 0.010 Op-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value < a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5 lovel of cianificanre there is insufficient evidence to conclude that Myer
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.
Personality Type
Occupation
Clergy (all denominations)
Row Total
65
42
107
M.D.
70
92
162
54
83
137
Lawyer
Column Total
189
217
406
n USE SALT
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
(a) What is the level of significance?
0.05
State the null and alternate hypotheses.
O H: Myers-Briggs preference and profession are not independent
H,: Myers-Briggs preference and profession are independent.
O Ho: Myers-Briggs preference and profession are independent
H: Myers-Briggs preference and profession are independent.
O Ho: Myers-Briggs preference and profession are independent
H,: Myers-Briggs preference and profession are not independent.
O Ho: Myers-Briggs preference and profession are not independent
H,: Myers-Briggs preference and profession are not independent.
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
12.198
Are all the expected frequencies greater than 5?
Yes
O No
What sampling distribution will you use?
O chi-square
O normal
binomial
Transcribed Image Text:The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) Row Total 65 42 107 M.D. 70 92 162 54 83 137 Lawyer Column Total 189 217 406 n USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H: Myers-Briggs preference and profession are not independent H,: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent H: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H,: Myers-Briggs preference and profession are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) 12.198 Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O chi-square O normal binomial
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