Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to Angl
2 answers:
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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:
Due to the higher z-score, David has the higher standardized score
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Which student has the higher standardized score
Whoever had the higher z-score.
David:
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So
Steven:
Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So
Due to the higher z-score, David has the higher standardized score