Quiz 6 Flashcards

(30 cards)

1
Q

A one tailed test is

a. hypothesis test in which rejection regions is in both tails of the sampling distributuion
b. hypothesis test in which rejection region is only in the upper tail of the sampling dsitribution
c. hypothesis test in which rejection region is in one tail of the sampling distribtuion
d hypothesis test in which rejection region is only in the lower tail of the sampling distribution

A

Hypothesis test in which rejection region is in one tail of the sampling distribution

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2
Q

A p-value is the

a. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed
b. probability corresponding to the crtitical value(s) in a hypothesis test
c. value of the test statistc
d. probability of a type s error

A

probability, when the null hypothesis is true, of obtaining a sample result that is at least unlikely as what is observed

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3
Q

A two tailed test is a

a. Hypothesis test in which rejection rejoin is only in the lower tail of the sampling distribution
b. Hypothesis test in which rejection rejoin is in one tail of the sampling distribution
c. Hypothesis test in which rejection rejoin is in the upper tail of the sampling distribtuion
d. Hypothesis test in which rejection rejoin is in both tails of the sampling distribution

A

both tails of the sampling distribution

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4
Q

A type 1 erros is committed when

a. a true null hypothesis is rejected
b. the critical value is greater than the value of the test statistic
c. a true alternative hypothesis is not accepted
d. sample sata contradict the null hypothesis

A

A true null hypothesis is rejected

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5
Q

A type 2 error is committed when

a. a true alternative hypothesis is mistakenly rejected
b. the sample size has been too small
c. a true null hypothesis is mistakenly rejected
d. not enough information has been available

A

a true alternative hypothesis is mistakenly rejected

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6
Q

As a general guideline, the research hypothesis should be stated as the

a. hypothesis the researcher wants to disprove
b. alternative hypothesis
c. tentative assumption
d. null hypothesis

A

alternative hypothesis

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7
Q

Excels _________ funciton can be used to calculate a p-value for a hypothesis test when o is unknown

a. NORM.S.DIST
b. Not enough information is given to answer this question
c. T.DIST
d. RAND

A

T.DIST

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8
Q

n = 36 h0: u<20
x-bar = 24.6 Ha: u >20
o=12

The test statistic equals

a. -0.38
b. 0.38
c. -2.3
d. 2.3

A

2.3

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9
Q

n = 36 h0: u<20
x-bar = 24.6 Ha: u >20
o=12

If the rest is done at a .05 level of significance, the null hypothesis should

a. Not enough information is given to asnwer this question
b. None of the other answers are correct
c. not be rejected
d. be rejected

A

Be rejected

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10
Q

n = 15
X-Bar = 75.607 Ho: u > 80
s = 8.246. Ha: u < 80

Assume population is normally distributed

The p-value is equal to

a. 0.0166
b. 0.0250
c. 0.0332
d. -0.0166

A

0.0250

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11
Q

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.

At a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is

a. significantly greater than 80%
b. significantly greater than 75%
c. not significantly greater than 75%
d. not significantly greater than 80%

A

Significantly greater than 75%

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12
Q

For a two-tailed test with a sample size of 40, the null hypothesis will NOT be rejected at a 5% level of significance if the test statistic is

a. between -1.96 and 1.96, exclusively
b. greater than -1.645
c. greater than 1.96
d. less than 1.645

A

Between -1.96 and 1.96 exclusively

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13
Q

If a hypothesis is not rejected at a 5% level of significance, it will

a. Not enough information is is given to answer this question
b. always be rejected at the 1% level
c. sometimes be rejected at the 1% level
d. also not be rejected at the 1% level

A

Also NOT be rejected at the 1% level

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14
Q

If a hypothesis is rejected at a 5% level significance, it

a. will always be rejected at the 1% level
b. will never be rejected at the 1%
c. may be rejected or not rejected at the 1% level
d. will always be accepted at the 1% level

A

may be rejected or not rejected at the 1% level

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15
Q

In hypothesis testing if the null hypothesis has been rejected when the alternative hypothesis has been true

a. the correct decision has been made
b. a Type 2 error has been committed
c. either a Type 1 or Type 2 error has been committed
d. A Type 1 error has been committed

A

the correct decision has been made

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16
Q

In hypothesis testing, the alternative hypothesis is

a. the hypothesis tentatively assumed true in the hypothesis-testing procedure
b. the hypothesis concluded to be true of the null hypothesis is rejected
c. All of the answers are correct
d. the maximum probability of type 1 error

A

the hypothesis concluded to be true if the null hypothesis is rejected

17
Q

In hypothesis, the critical value is

a. the probability of a type 1 error
b. a number that establishes the boundary of the rejection region
c. the probability of a type 2 error
d. the same as the p-value

A

A number that establishes the boundary of the rejection region

18
Q

In the hypothesis testing procedure, alpha is

a. the critical value
b. 1- level of significance
c. the confidence level
d. the level of significance

A

the level of significance

19
Q

In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The mangagement of Rock City recently undertook an extensive promotional campaign. They are interested in determining whenther the promotional campaign actually INCREASED the proportion of tourists visting visting Rock City. The correct set of hypothesis is

a. H0: p > 0.75 Ha: p <(less than or equal to) 0.75
b. H0: p <(less than or equal to) 0.75 Ha: p > 0.75
c. H0: p > (greater or equal to) 0.75 Ha: p < 0.75
d. H0: p < 0.75 Ha: p >(greater or equal to) 0.75

A

Ho: p <(less than or equal to) 0.75 Ha: p > 0.75

20
Q

Read the t statistic from the table of t distriutions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a 0.05 level of significance t =

a. 1.734
b. 1.740
c. 2.12
d. -1.740

21
Q

Read the z statistic from the normal distribution table and circle the correct answer. A one-tailed test (lower tail) at a 0.63 level of signifiance; z =

a. -1.53
b. -1.645
c. -1.96
d. -1.86

22
Q

The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is

a. H0: u > 40,000 Ha: u <(less or equal to) 40,000
b. H0: u < 40,000 Ha: u > (greater or equal) 40,000
c. H0: u >(greater or equal to) 40,000 Ha: u < 40,000
d. H0: u <(less or equal) 40,000 Ha: u > 40,000

A

Ho: u < (less than or equal to) 40,000 Ha: u > 40,000

23
Q

The schools newspaper reported that the proprtion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper claim. The correct set of hypotheses is

a. H0: p <(less or equal to) 0.30 Ha: p > 0.30
b. H0: p > 0.30 Ha: P <(less or equal) 0.30
c. H0: p < 0.30 Ha: p (greater or equal to) 0.30
d. H0: p(greater or equal) 0.30 Ha: p < 0.30

A

Ho: p (greater or equal to) 0.30 Ha: p < 0.30

24
Q

Two approaches to drawing a conclusion in a hypothesis test are

a. one tailed and two tailed
b. null and alternative
c. Type 1 and Type 2
d. p-value and critical value

A

p-value and critical value

25
When the hypothesis Ho: (greater or equal to) 100 and Ha: u < 100 are being tested at a level of significane of alpha, the null hypothesis will be nit rejected if the test statistic z is a. <(greater or equal) -za b. > -za c. >(less than or equal) za d. < 100
> -z a
26
When the p-value is used for hypothesis testing, the null hypothesis is rejected id a. p-value > a b. p-value <(less or equal) a c. a < p-value d. p-value = z
p-value (greater or equal to) a
27
When using Excel to calculate a p-value for a lower-tail hypothesis test, the following must be used a. NORM.S.DIST b. 1 - NORM.S.DIST c. Not enough information is given to answer this question d. RAND
NORM.S.DIST
28
Which excel function would NOT be appropriate to use when conducting a hypothesis test for a population proportion? a. NORM.S.DIST b. STDEV c. All are appropriate d. COUNTIF
STDEV
29
Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is a. H0: u>(greater or equal) 10.0% Ha: u < 10.0% b. H0: u <(less or equal) 10.0% Ha: u > 10.0% c. H0: u < 10.0% Ha: u >(greater or equal) 10.0% d. H0: u > 10.0% Ha: u <(less or equal) 10.0%
Ho: u (greater or equal to) 10.0% Ha: u < 10.0%
30
If the cost of a Type 1 error is high, a smaller value should be chosen for the a. Test statistic b. confidence coefficient c. critical value d. level of significance
Level of significance