Carla pays $20 per month for her phone service, plus $0.08 for each long
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Answer:
Table C
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
Find the value of the constant of proportionality in each table
Table A
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
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For ------>
For ------>
This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
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This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
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This table has different values of k
therefore
the table D does not represent a proportional relationship
Answer:
a) The point estimate of the proportion of items returned for the population of
sales transactions at the Houston store = 12/80 = 0.15
b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].
c) Yes.
We set an hypothesis and construct a test statistics. The test statistics result gives us:
Z calculated = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.
Step-by-step explanation:
a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.
b) By formula of confident interval:
CI(95%) = p ± Z*,
CI(95%) = [0.0718 < p < 0.2282]
c) The hypothesis:
: The proportion of returns at the Houston store is not significantly different from the returns for the nation as a whole.
: The proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.
The test statistics:
Z = , where
is the proportion of nation returns.
Z calculated = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.