Question 1

Is the statement $\mathrm { H } _ { 0 } : = 9$ a valid null hypothesis?

Accepted Answer

A)  Yes, this is a statement that compares a parameter to a value 
B)  Yes, this is a statement that compares two parameters 
C)  No, equalities are not permitted in a null hypothesis 
D)  No, there is no parameter contained in this statement 
A)  Yes, this is a statement that compares a parameter to a value 
B)  Yes, this is a statement that compares two parameters 
C)  No, equalities are not permitted in a null hypothesis 
D)  No, there is no parameter contained in this statement

Question 2

The Eagle Ridge Contractors' Association claims the average price of a home in their subdivision is
$125,150, with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an
average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are
actually lower than claimed?
-In a particular city, the average salary of secretaries is $29,000 per year. Secretaries at Company A claim that they are paid less than the city average. In a sample of 50 secretaries, their average salary was
$25,000 per year with a standard deviation of $5,000. What is the test statistic for this hypothesis?

Accepted Answer

A)  -5.66 
B)  -0.80 
C)  0.80 
D)  5.66 
A)  -5.66 
B)  -0.80 
C)  0.80 
D)  5.66

Question 3

A scientist has a theory that 36% of geese in his area do not fly south for the winter. He tags 65 random geese in the summer and finds that 38% of them do fly south. If   , is the scientist's belief
Warranted?

Accepted Answer

A)  Yes, because the test value -4.37 is in the critical region. 
B)  No, because the test value -4.80 is in the noncritical region. 
C)  Yes, because the test value 4.80 is in the critical region. 
D)  No, because the test value 4.37 is in the critical region. 
A)  Yes, because the test value -4.37 is in the critical region. 
B)  No, because the test value -4.80 is in the noncritical region. 
C)  Yes, because the test value 4.80 is in the critical region. 
D)  No, because the test value 4.37 is in the critical region.

Question 4

The critical chi-square value for 20 degrees of freedom for the figure below is
$31.410$.

Accepted Answer

A) True 
 B)False

Question 5

Sandra Johnson, a researcher, believes her pulse rate will decrease with exercise. Her alternative
hypothesis would contain an equal sign.

Accepted Answer

A) True 
 B)False

Question 6

What is the critical t-value for a right-tailed test when $\alpha = 0.025$ and $\text { d.f. } = 12$ ?

Accepted Answer

A)  2.179 
B)  2.831 
C)  2.228 
D)  1.869 
A)  2.179 
B)  2.831 
C)  2.228 
D)  1.869

Question 7

A recent report from the American Medical Association claims that for the first time in 10 years, the average salary of psychiatrists was $189,121 with a standard deviation of $26,975. A random sample
Of 25 Canadian psychiatrists this year yielded an average salary of $198,630. Is there evidence that the
Average salary is actually higher than what the American Medical Association reported (assume that the
Variation in Canadian salaries is the same as that in the US)? What is the p-value for a one-sided test?

Accepted Answer

A)  0.0024 
B)  0.0035 
C)  0.1328 
D)  0.0390 
A)  0.0024 
B)  0.0035 
C)  0.1328 
D)  0.0390

Question 8

A type II error occurs if one does not reject the null hypothesis when it is __________. 
________________________________________

Accepted Answer

A) True 
 B)False

Question 9

Assume that in a hypothesis test with null hypothesis $\mathrm { H } _ { 0 } : \mu = 17.0 \text { at } \alpha = 0.05$ , that a value of 13.0 for the sample mean results in the null hypothesis being accepted. That corresponds to a confidence interval
Result of

Accepted Answer

A)  The 98% confidence interval for the mean contains the value 13.0 
B)  The 98% confidence interval for the mean contains the value 17.0 
C)  The 98% confidence interval for the mean does not contain the value 17.0 D There is insufficient information to conclude whether the 98% confidence interval for the mean
) contains or does not contain the value 17.0 
A)  The 98% confidence interval for the mean contains the value 13.0 
B)  The 98% confidence interval for the mean contains the value 17.0 
C)  The 98% confidence interval for the mean does not contain the value 17.0 D There is insufficient information to conclude whether the 98% confidence interval for the mean
) contains or does not contain the value 17.0

Question 10

Doctors nationally believe that 72% of a certain type of operation are successful. In a certain hospital, 53 of these operations were observed, and 63% of them were successful. If   , is this hospital's success
Rate different from the national average?

Accepted Answer

A)  No, because the test value -0.86 is in the noncritical region. 
B)  Yes, because the test value -0.86 is in the critical region. 
C)  No, because the test value -1.46 is in the noncritical region. 
D)  Yes, because the test value -1.46 is in the noncritical region. 
A)  No, because the test value -0.86 is in the noncritical region. 
B)  Yes, because the test value -0.86 is in the critical region. 
C)  No, because the test value -1.46 is in the noncritical region. 
D)  Yes, because the test value -1.46 is in the noncritical region.

Question 11

Are the following statements $\mathrm { H } _ { 0 } : = 12 \mathrm { H } _ { \mathrm { A } } : { } ^ { 1 } 12$ a valid pair of null and alternative hypotheses?

Accepted Answer

A)  No, there are no parameters contained in these statements 
B)  No, the alternative hypothesis cannot contain numeric values 
C)  Yes, these statements are two non-overlapping hypotheses and compare two parameters 
D)  Yes, these statements are two non-overlapping hypotheses and compare a parameter to a value 
A)  No, there are no parameters contained in these statements 
B)  No, the alternative hypothesis cannot contain numeric values 
C)  Yes, these statements are two non-overlapping hypotheses and compare two parameters 
D)  Yes, these statements are two non-overlapping hypotheses and compare a parameter to a value

Question 12

A political strategist believes that 56% of voters in a certain province support his candidate. He then commissions a poll of 800 voters and 53% of them support his candidate. If   , is the political
Strategist's belief warranted?

Accepted Answer

A)  Yes, because the test value -1.01 is in the noncritical region. 
B)  Yes, because the test value -1.88 is in the critical region. 
C)  No, because the test value -1.88 is in the noncritical region. 
D)  No, because the test value -1.71 is in the noncritical region. 
A)  Yes, because the test value -1.01 is in the noncritical region. 
B)  Yes, because the test value -1.88 is in the critical region. 
C)  No, because the test value -1.88 is in the noncritical region. 
D)  No, because the test value -1.71 is in the noncritical region.

Question 13

For fixed sample sizes, the t-statistic is more variable than the z-statistic.

Accepted Answer

A) True 
 B)False

Question 14

Using the z-table (Table E), find the critical value (or values) for an $\alpha = .06$ , two-tailed test.

Accepted Answer

A)  $1.5548$ 
B)  $1.8808$ 
C)  $\pm 1.5548$ 
D)  $\pm 1.8808$ 
A)  $1.5548$ 
B)  $1.8808$ 
C)  $\pm 1.5548$ 
D)  $\pm 1.8808$

Question 15

The Natural Resources Canada Web site said that the national average price of regular gasoline was $1.058 per litre on July 3, 2007. It was felt that the price of gasoline in Toronto was significantly lower
Than the national average. A survey of ten different gas stations in Toronto, Ontario found the average
Price of gasoline to be $1.028 per litre with a standard deviation of $0.0263. What is the critical value
Using $a = 0.01$ ?

Accepted Answer

A)  1.26 
B)  2.33 
C)  -1.26 
D)  -2.33 
A)  1.26 
B)  2.33 
C)  -1.26 
D)  -2.33

Question 16

According to Statistics Canada, the average age of a groom was 34.5 years in 2003. A sample of 16 prospective grooms in St. Johns revealed that their average age was 34.9 years with a standard deviation
Of 5.3 years. At $$a = 0.05$$ , what is the test value?

Accepted Answer

A)  1.81 
B)  0.30 
C)  0.59 
D)  2.13 
A)  1.81 
B)  0.30 
C)  0.59 
D)  2.13

Question 17

For the conjecture, "The average weight of a cuckoo bird is less than or equal to 2.5 pounds," the null and alternative hypotheses are: $\mathrm { A } \mathrm { H } _ { 0 }$ : The average weight of a cuckoo bird is less than or equal to $2.5$ pounds - $\mathrm { H } _ { \mathrm { A } }$ : The average weight of a cuckoo bird is less than $2.5$ pounds
$\mathrm { B } ^ { \mathrm { H } } \mathrm { H } _ { 0 }$ : The average weight of a cuckoo bird is equal to $2.5$ pounds
$\mathrm { H } _ { \mathrm { A } }$ : The average weight of a cuckoo bird is less than or equal to $2.5$ pounds C. $\mathrm { H } _ { 0 }$ : The average weight of a cuckoo bird is more than or equal to $2.5$ pounds $\mathrm { H } _ { \mathrm { A } }$ : The average weight of a cuckoo bird is less than $2.5$ pounds
$\mathrm { D } \mathrm { H } _ { 0 }$ : The average weight of a cuckoo bird is less than or equal to $2.5$ pounds . $\mathrm { H } _ { \mathrm { A } }$ : The average weight of a cuckoo bird is more than $2.5$ pounds

Accepted Answer

The answer of For the conjecture, "The average weight of...

Question 18

An assumption of the chi-square test for a single variance is that the observations must be independent of
each other.

Accepted Answer

A) True 
 B)False

Question 19

At a certain American university, the average attendance at basketball games has been 2,700 spectators per game. The attendance for the first 16 games has been 2,450 spectators per game with a standard
Deviation of 550. The athletic director claims that the attendance is the same as last year. If   , what
Are the critical values?

Accepted Answer

A)  $\pm 1.7531$ 
B)  $\pm 2.1315$ 
C)  $\pm 3.5062$ 
D)  $\pm 4.2630$ 
A)  $\pm 1.7531$ 
B)  $\pm 2.1315$ 
C)  $\pm 3.5062$ 
D)  $\pm 4.2630$

Question 20

A type I error occurs if one rejects the null hypothesis when it is __________. 
________________________________________

Accepted Answer

A) True 
 B)False

Is the statement $\mathrm { H } _ { 0 } : = 9$ a valid null hypothesis?

A scientist has a theory that 36% of geese in his area do not fly south for the winter. He tags 65 random geese in the summer and finds that 38% of them do fly south. If , is the scientist's belief Warranted?

The critical chi-square value for 20 degrees of freedom for the figure below is $31.410$ .

Sandra Johnson, a researcher, believes her pulse rate will decrease with exercise. Her alternative hypothesis would contain an equal sign.

What is the critical t-value for a right-tailed test when $\alpha = 0.025$ and $\text { d.f. } = 12$ ?

A type II error occurs if one does not reject the null hypothesis when it is . ______________________________

Assume that in a hypothesis test with null hypothesis $\mathrm { H } _ { 0 } : \mu = 17.0 \text { at } \alpha = 0.05$ , that a value of 13.0 for the sample mean results in the null hypothesis being accepted. That corresponds to a confidence interval Result of

Doctors nationally believe that 72% of a certain type of operation are successful. In a certain hospital, 53 of these operations were observed, and 63% of them were successful. If , is this hospital's success Rate different from the national average?

Are the following statements $\mathrm { H } _ { 0 } : = 12 \mathrm { H } _ { \mathrm { A } } : { } ^ { 1 } 12$ a valid pair of null and alternative hypotheses?

A political strategist believes that 56% of voters in a certain province support his candidate. He then commissions a poll of 800 voters and 53% of them support his candidate. If , is the political Strategist's belief warranted?

For fixed sample sizes, the t-statistic is more variable than the z-statistic.

Using the z-table (Table E), find the critical value (or values) for an $\alpha = .06$ , two-tailed test.

According to Statistics Canada, the average age of a groom was 34.5 years in 2003. A sample of 16 prospective grooms in St. Johns revealed that their average age was 34.9 years with a standard deviation Of 5.3 years. At $a = 0.05$ , what is the test value?

An assumption of the chi-square test for a single variance is that the observations must be independent of each other.

A type I error occurs if one rejects the null hypothesis when it is . ______________________________

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

Exam 7: Hypothesis Testing

Is the statement H0:=9\mathrm { H } _ { 0 } : = 9H0​:=9 a valid null hypothesis?

A scientist has a theory that 36% of geese in his area do not fly south for the winter. He tags 65 random geese in the summer and finds that 38% of them do fly south. If , is the scientist's belief Warranted?

The critical chi-square value for 20 degrees of freedom for the figure below is 31.41031.41031.410 .

Sandra Johnson, a researcher, believes her pulse rate will decrease with exercise. Her alternative hypothesis would contain an equal sign.

What is the critical t-value for a right-tailed test when α=0.025\alpha = 0.025α=0.025 and d.f. =12\text { d.f. } = 12 d.f. =12 ?

A type II error occurs if one does not reject the null hypothesis when it is __________. ________________________________________

Doctors nationally believe that 72% of a certain type of operation are successful. In a certain hospital, 53 of these operations were observed, and 63% of them were successful. If , is this hospital's success Rate different from the national average?

Are the following statements H0:=12HA:112\mathrm { H } _ { 0 } : = 12 \mathrm { H } _ { \mathrm { A } } : { } ^ { 1 } 12H0​:=12HA​:112 a valid pair of null and alternative hypotheses?

A political strategist believes that 56% of voters in a certain province support his candidate. He then commissions a poll of 800 voters and 53% of them support his candidate. If , is the political Strategist's belief warranted?

For fixed sample sizes, the t-statistic is more variable than the z-statistic.

Using the z-table (Table E), find the critical value (or values) for an α=.06\alpha = .06α=.06 , two-tailed test.

According to Statistics Canada, the average age of a groom was 34.5 years in 2003. A sample of 16 prospective grooms in St. Johns revealed that their average age was 34.9 years with a standard deviation Of 5.3 years. At a=0.05a = 0.05a=0.05 , what is the test value?

An assumption of the chi-square test for a single variance is that the observations must be independent of each other.

A type I error occurs if one rejects the null hypothesis when it is __________. ________________________________________

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

Is the statement $\mathrm { H } _ { 0 } : = 9$ a valid null hypothesis?

The critical chi-square value for 20 degrees of freedom for the figure below is $31.410$ .

What is the critical t-value for a right-tailed test when $\alpha = 0.025$ and $\text { d.f. } = 12$ ?

A type II error occurs if one does not reject the null hypothesis when it is . ______________________________

Are the following statements $\mathrm { H } _ { 0 } : = 12 \mathrm { H } _ { \mathrm { A } } : { } ^ { 1 } 12$ a valid pair of null and alternative hypotheses?

Using the z-table (Table E), find the critical value (or values) for an $\alpha = .06$ , two-tailed test.

According to Statistics Canada, the average age of a groom was 34.5 years in 2003. A sample of 16 prospective grooms in St. Johns revealed that their average age was 34.9 years with a standard deviation Of 5.3 years. At $a = 0.05$ , what is the test value?

A type I error occurs if one rejects the null hypothesis when it is . ______________________________