Question
State the Type I and Type II errors in complete sentences given the following statements. part C The mean starting salary for San Jose State
State the Type I and Type II errors in complete sentences given the following statements.
- part C
The mean starting salary for San Jose State University graduates is at least $100,000 per year.
Type I error:
- A. We conclude that the mean starting salary is at least $100,000 when, in fact, it is less than $100,000.
- B. We conclude that the mean starting salary is less than $100,000, when it really is at least $100,000.
- C. We conclude that the mean starting salary is at least $100,000, when it really is at least $100,000.
- D. We conclude that the mean starting salary is less than $100,000 when, in fact, it is less than $100,000.
Type II error:
- A. We conclude that the mean starting salary is at least $100,000 when, in fact, it is less than $100,000.
- B. We conclude that the mean starting salary is less than $100,000, when it really is at least $100,000.
- C. We conclude that the mean starting salary is at least $100,000, when it really is at least $100,000.
- D. We conclude that the mean starting salary is less than $100,000 when, in fact, it is less than $100,000.
- Part (d)
Twenty-nine percent of high school seniors get drunk each month.
Type I error:
- A. We conclude that the proportion of high school seniors who get drunk each month is 29% when, in fact, it is not 29%.
- B. We conclude that the proportion of high school seniors who get drunk each month is 29%, when it really is 29%.
- C. We conclude that the proportion of high school seniors who get drunk each month is not 29% when, in fact, it is not 29%.
- D. We conclude that the proportion of high school seniors who get drunk each month is not 29%, when it really is 29%.
Type II error:
- A. We conclude that the proportion of high school seniors who get drunk each month is 29% when, in fact, it is not 29%.
- B. We conclude that the proportion of high school seniors who get drunk each month is 29%, when it really is 29%.
- C. We conclude that the proportion of high school seniors who get drunk each month is not 29% when, in fact, it is not 29%.
- D. We conclude that the proportion of high school seniors who get drunk each month is not 29%, when it really is 29%.
- Part (e)
Fewer than 5% of adults ride the bus to work in Los Angeles.
Type I error:
- A. We conclude that fewer than 5% of adults ride the bus to work in Los Angeles, when the percentage that do is really 5% or more.
- B. We conclude that fewer than 5% of adults ride the bus to work in Los Angeles when, in fact, fewer than 5% do.
- C. We conclude that 5% or more adults ride the bus to work in Los Angeles, when the percentage that do is really 5% or more.
- D. We conclude that 5% or more adults ride the bus to work in Los Angeles when, in fact, fewer than 5% do.
Type II error:
- A. We conclude that fewer than 5% of adults ride the bus to work in Los Angeles, when the percentage that do is really 5% or more.
- B. We conclude that fewer than 5% of adults ride the bus to work in Los Angeles when, in fact, fewer than 5% do.
- C. We conclude that 5% or more adults ride the bus to work in Los Angeles, when the percentage that do is really 5% or more.
- D. We conclude that 5% or more adults ride the bus to work in Los Angeles when, in fact, fewer than 5% do.
- Part (f)
The mean number of cars a person owns in his or her lifetime is not more than ten.
Type I error:
- A. We conclude that the mean number of cars a person owns in his or her lifetime is not more than 10, when in reality it is not more than 10.
- B. We conclude that the mean number of cars a person owns in his or her lifetime is not more than 10 when, in fact, it is more than 10.
- C. We conclude that the mean number of cars a person owns in his or her lifetime is more than 10, when in reality it is not more than 10.
- D. We conclude that the mean number of cars a person owns in his or her lifetime is more than 10 when, in fact, it is more than 10.
Type II error:
- A. We conclude that the mean number of cars a person owns in his or her lifetime is not more than 10, when in reality it is not more than 10.
- B. We conclude that the mean number of cars a person owns in his or her lifetime is not more than 10 when, in fact, it is more than 10.
- C. We conclude that the mean number of cars a person owns in his or her lifetime is more than 10, when in reality it is not more than 10.
- D. We conclude that the mean number of cars a person owns in his or her lifetime is more than 10 when, in fact, it is more than 10.
- Part (g)
About half of Americans prefer to live away from cities, given the choice.
Type I error:
- A. We conclude that the proportion of Americans who prefer to live away from cities is half, though the actual proportion is about half.
- B. We conclude that the proportion of Americans who prefer to live away from cities is half when, in fact, it is not half.
- C. We conclude that the proportion of Americans who prefer to live away from cities is not about half when, in fact, it is not half.
- D. We conclude that the proportion of Americans who prefer to live away from cities is not about half, though the actual proportion is about half.
Type II error:
- A. We conclude that the proportion of Americans who prefer to live away from cities is half, though the actual proportion is about half.
- B. We conclude that the proportion of Americans who prefer to live away from cities is half when, in fact, it is not half.
- C. We conclude that the proportion of Americans who prefer to live away from cities is not about half when, in fact, it is not half.
- D. We conclude that the proportion of Americans who prefer to live away from cities is not about half, though the actual proportion is about half.
- Part (h)
Europeans have a mean paid vacation each year of six weeks.
Type I error:
- A. We conclude that the duration of paid vacations each year for Europeans is not six weeks, when in fact it is six weeks.
- B. We conclude that the duration of paid vacations each year for Europeans is six weeks when, in fact, it is not.
- C. We conclude that the duration of paid vacations each year for Europeans is not six weeks when, in fact, it is not.
- D. We conclude that the duration of paid vacations each year for Europeans is six weeks, when in fact it is six weeks.
Type II error:
- A. We conclude that the duration of paid vacations each year for Europeans is not six weeks, when in fact it is six weeks.
- B. We conclude that the duration of paid vacations each year for Europeans is six weeks when, in fact, it is not.
- C. We conclude that the duration of paid vacations each year for Europeans is not six weeks when, in fact, it is not.
- D. We conclude that the duration of paid vacations each year for Europeans is six weeks, when in fact it is six weeks.
- Part (i)
The chance of developing breast cancer is under 11% for women.
Type I error:
- A. We conclude that the proportion of women who develop breast cancer is less than 11%, when in fact it is less than 11%.
- B. We conclude that the proportion of women who develop breast cancer is less than 11%, when it is really at least 11%.
- C. We conclude that the proportion of women who develop breast cancer is at least 11%, when it is really at least 11%.
- D. We conclude that the proportion of women who develop breast cancer is at least 11%, when in fact it is less than 11%.
Type II error:
- A. We conclude that the proportion of women who develop breast cancer is less than 11%, when in fact it is less than 11%.
- B. We conclude that the proportion of women who develop breast cancer is less than 11%, when it is really at least 11%.
- C. We conclude that the proportion of women who develop breast cancer is at least 11%, when it is really at least 11%.
- D. We conclude that the proportion of women who develop breast cancer is at least 11%, when in fact it is less than 11%.
- Part (j)
Private universities' mean tuition cost is more than $20,000 per year.
Type I error:
- A. We conclude that the average tuition cost at private universities is at most $20,000, and in reality it is at most $20,000.
- B. We conclude that the average tuition cost at private universities is at most $20,000 when, in fact, it is more than $20,000.
- C. We conclude that the average tuition cost at private universities is more than $20,000, though in reality it is at most $20,000.
- D. We conclude that the average tuition cost at private universities is more than $20,000 when, in fact, it is more than $20,000.
Type II error:
- A. We conclude that the average tuition cost at private universities is at most $20,000, and in reality it is at most $20,000.
- B. We conclude that the average tuition cost at private universities is at most $20,000 when, in fact, it is more than $20,000.
- C. We conclude that the average tuition cost at private universities is more than $20,000, though in reality it is at most $20,000.
- D. We conclude that the average tuition cost at private universities is more than $20,000 when, in fact, it is more than $20,000.
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