Two types of medication for hives are being tested to determine if there is a difference in the proportions of adult patient reactions. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. Test at a 1% level of significance. Let A and B be the subscripts for medication A and medication B, respectfully. Then pA and pB are the desired population proportions. What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.05 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test statistic z or t= p-value= compare p-value to a (eg. p-value greater than or less than a) decision (reject Ho/Failed to reject) evidence (enough/not enough) test objective is to (reject/support): conclusion: at ____ level of significance, _____ _____ that there is a difference in the proportions of adult patients who did not react after 30 minutes to medication A and medication B.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Two types of medication for hives are being tested to determine if there is a difference in the proportions of adult patient reactions. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. Test at a 1% level of significance.
Let A and B be the subscripts for medication A and medication B, respectfully. Then pA and pB are the desired population proportions.
What is the question/claim to be tested in symbols
the hypothesis is
Ho:
Ha:
which hypothesis matches the claim
test objective is to reject or support
level of significance a=.05
type of test (left, right, two-tailed)
the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)
calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)
calculate the applicable test statistic
z or t=
p-value=
compare p-value to a (eg. p-value greater than or less than a)
decision (reject Ho/Failed to reject)
evidence (enough/not enough)
test objective is to (reject/support):
conclusion:
at ____ level of significance, _____ _____ that there is a difference in the proportions of adult patients who did not react after 30 minutes to medication A and medication B.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
