Show all necessary work in a neat and orderly fashion. Remember that you are writing this so that the teacher understands what and how you are calculating. #1
In a 1993 Gallup poll 47% of the respondents agreed with the statement “God created human beings pretty much in their present form at one time within the last 10,000 years or so.” When Gallup asked the same question in 2001, only 45% of those respondents agreed. We would like to know if it is reasonable to conclude that there was a change.
What are the null and alternative hypotheses?
The P-value was 0.37. Do we reject or not reject the null hypothesis? Circle: reject not reject
In the 1960s about 44% of the adult population had never smoked cigarettes. In 2004 about 55% had never been smokers, based on a random sample of 900 adults.
Find a 90% confidence interval for the proportion of adults in 2004 who had never been smokers.
The P-value is the probability that the null hypothesis is true.
P-value = Pr( observed statistic value | null hypothesis)
If the P-value is very small then we would accept the null hypothesis.
If the P-value is very large then the observed statistic value is not unusual.
Pr(null hypothesis) is either true or false, 0% or 100%.
The lower the P-value, the more comfortable we feel about our decision, but the
null hypothesis doesn’t get any more false.
There is a simple test to determine if a disk drive is faulty. All but 4% of the time, a good disk drive passes the test, but unfortunately, 35% of the bad disks also pass the test.
b) What is the probability of a Type c) What is the probability of a Type
Page 2 of 2
In an experiment to see if the drug Prozac could be used as a treatment for the eating disorder anorexia nervosa the subjects were randomly divided into two groups. Of the 49 who received Prozac, 35 were deemed healthy a year later, compared to 32 of the 44 who got the placebo. a) Find a 95% confidence interval for the difference in
b) Use your confidence interval to explain whether you
Page 1 of 2

Show all necessary work in a neat and orderly fashion. Remember that you are writing this so that the teacher understands what and how you are calculating. #1
There is a simple test to determine if a disk drive is faulty. All but 5% of the time, a good disk drive passes the test, but unfortunately, 32% of the bad disks also pass the test.
b) What is the probability of a Type c) What is the probability of a Type
In an experiment to see if the drug Prozac could be used as a treatment for the eating disorder anorexia nervosa the subjects were randomly divided into two groups. Of the 49 who received Prozac, 33 were deemed healthy a year later, compared to 31 of the 43 who got the placebo. a) Find a 95% confidence interval for the difference in
b) Use your confidence interval to explain whether you
In a 1993 Gallup poll 46% of the respondents agreed with the statement “God created human beings pretty much in their present form at one time within the last 10,000 years or so.” When Gallup asked the same question in 2001, only 43% of those respondents agreed. We would like to know if it is reasonable to conclude that there was a change.
What are the null and alternative hypotheses?
The P-value was 0.37. Do we reject or not reject the null hypothesis? Circle: reject not reject
Page 2 of 2
In the 1960s about 42% of the adult population had never smoked cigarettes. In 2004 about 57% had never been smokers, based on a random sample of 900 adults.
Find a 90% confidence interval for the proportion of adults in 2004 who had never been smokers.
Pr(null hypothesis) is either true or false, 0% or 100%.
If the P-value is very small then we would accept the null hypothesis.
If the P-value is very large then the observed statistic value is not unusual.
The P-value is the probability that the null hypothesis is true.
P-value = Pr( observed statistic value | null hypothesis)
The lower the P-value, the more comfortable we feel about our decision, but the
null hypothesis doesn’t get any more false.

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