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RideAnS [48]
2 years ago
8

A conditional statement and it's_______ must always have the same truth value.

Mathematics
1 answer:
Romashka [77]2 years ago
5 0
Answer: C) Contrapositive

The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table. 
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What is the explicit rule for the pattern 16,11,6,1...
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Step-by-step explanation:

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2 years ago
A 99% confidence interval for the difference between two proportions was estimated at 0.11, 0.39. Based on this, we can conclude
sladkih [1.3K]

Answer:

\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE

And for this case the confidence interval is given by:

0.11 \leq p_1 -p_2 \leq 0.39

Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

Step-by-step explanation:

Let p1 and p2 the population proportions of interest and let \hat p_1 and \hat p_2 the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:

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Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

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