c. The test statistic z v 1.077 x (please show your answer to 3 decimal places.) d. The p-value =0.140 X (Please show your answer to 3 decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 352
millionaires surveyed, 60 could wiggle their ears. What can be concluded at the a = 0.05 level of
significance?
a. For this study, we should use z-test for a population proportion
b. The null and alternative hypotheses would be:
Но: р
0.15
(please enter a decimal)
H1: P
(Please enter a decimal)
0.15
c. The test statistic z
1.077
X (please show your answer to 3 decimal places.)
d. The p-value =0.140
X (Please show your answer to 3 decimal places.)
e. The p-value is >v
f. Based on this, we should fail to reject
of
the null hypothesis.
g. Thus, the final conclusion is that ...
OThe data suggest the population proportion is not significantly higher than 15% at a = 0.05, so
there is statistically insignificant evidence to conclude that the population proportion of
millionaires who can wiggle their ears is higher than 15%.
O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so
there is statistically significant evidence to conclude that the population proportion of
millionaires who can wiggle their ears is equal to 15%.
O The data suggest the populaton proportion is significantly higher than 15% at a = 0.05, so
there is statistically significant evidence to conclude that the population proportion of
millionaires who can wiggle their ears is higher than 15%.
of
of
Transcribed Image Text:Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 352 millionaires surveyed, 60 could wiggle their ears. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Но: р 0.15 (please enter a decimal) H1: P (Please enter a decimal) 0.15 c. The test statistic z 1.077 X (please show your answer to 3 decimal places.) d. The p-value =0.140 X (Please show your answer to 3 decimal places.) e. The p-value is >v f. Based on this, we should fail to reject of the null hypothesis. g. Thus, the final conclusion is that ... OThe data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 15%. O The data suggest the population proportion is not significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 15%. O The data suggest the populaton proportion is significantly higher than 15% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 15%. of of
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