AnswersCA-Statistics and Probability BIntroduction to Hypothesis Testing

Introduction to Hypothesis Testing Answers

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Which of the following are the correct hypotheses for this test?

A
H0: = 0 versus Ha: < 0 where pD = the proportion of all dogs that can be trained to fetch a ball and pC = the proportion of all cats that can be trained to fetch a ball.
Option A
B
H0: = 0 versus Ha: < 0 where pD = the sample proportion of all dogs that can be trained to fetch a ball and pC = the sample proportion of all cats that can be trained to fetch a ball.
Option B
C
H0: = 0 versus Ha: > 0 where pD = the proportion of all dogs that can be trained to fetch a ball and pC = the proportion of all cats that can be trained to fetch a ball.
Option C
D
H0: = 0 versus Ha: > 0 where pD = the sample proportion of all dogs that can be trained to fetch a ball and pC = the sample proportion of all cats that can be trained to fetch a ball.
Option D
3

✔ rejectfail to reject

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4

✔ havedo not have

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6

Select all statements that are correct.

A
We want to carry out a 2-proportion z-test.
B
We want to carry out a 1-proportion z-test.
C
nD = 38
D
nD = 50
E
Option
Option E
F
Option
Option F
7

Select all statements that are correct.

A
We have two independent random samples.
B
We have two groups in a randomized comparative experiment.
C
The 10% condition is met.
D
The 10% condition does not apply.
E
The expected number of successes and failures for both samples are 38, 12, 15, 45.
F
The expected number of successes and failures for both samples are 24, 26, 29, 31.
10

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11

Select all statements that are correct.

A
We have two independent random samples.
B
We have two groups in a randomized comparative experiment.
C
The 10% condition does not apply.
D
The 10% condition is met.
E
The expected number of successes and failures for both samples are 10, 30, 10, 30.
F
The expected number of successes and failures for both samples are 5, 35, 15, 25.
14

What is the value of the standardized test statistic, P-value, and conclusion for this test?If needed, use the z-table to answer the question.

A
z = 0.10, P-value = 0.46, reject H0.
B
z = 0.10, P-value = 0.92, fail to reject H0.
C
z = 0.62, P-value = 0.27, reject H0.
D
z = 0.62, P-value = 0.54, fail to reject H0.
15

What is the value of the standardized test statistic, P-value, and conclusion for this test?If needed, use the z-table to answer the question.

A
z = 0.17, P-value = 0.056, reject H0.
B
z = −1.92, P-value = 0.028, fail to reject H0.
C
z = 0.17, P-value = 0.056, fail to reject H0.
D
z = –1.92, P-value = 0.028, reject H0.
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