Sophia was selling tickets at the high school dance. At the end of the evening, she picked up the cash box and noticed a $5 bill
1 answer:
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Set up hypotheses:
The null hypotheses is that the proportion of readers who own a Rolls Royce is equal to 0.55
Null hypotheses = H₀: p = 0.55
The alternate hypotheses is that the proportion of readers who own a Rolls Royce is not equal to 0.55
Alternate hypotheses = H₁: p ≠ 0.55
Determine the type of test:
Since the alternate hypothesis states that the proportion of readers who own a Rolls Royce is different, therefore it is a two-tailed test.
Determine the level of significance and Critical Z-score:
Given level of significance = 0.05
Since it is a two-tailed test,
Z-score = 1.960 (two tailed)
Set up decision rule:
Since it is a two-tailed test, using a Z statistic at a significance level of 5%
We Reject H₀ if Z < -1.960 or Z > 1.960
We Reject H₀ if p ≤ α
Compute the test statistic:
The test statistic may be calculated using,
We are not given enough information to find out the test statistic.
Conclusion:
We do not have enough information to accept or refuse the publisher's claim.
Answer:
From the graph attached, we know that by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate, and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and
together are 180°, because they are on a straight angle. That is,
If we substitute for
, we have
, which means that
and
are also supplementary by definition.
