Hypothesis testing of a single mean and single proportion
Class Time:
Names:
Student learning outcomes
The student will select the appropriate distributions to use in each case.
The student will conduct hypothesis tests and interpret the results.
Television survey
In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that
σ = 2. Using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower.
H
0 : _____________
H
a : _____________
In words, define the random variable. __________ = ______________________
The distribution to use for the test is _______________________.
Determine the test statistic using your data.
Draw a graph and label it appropriately.Shade the actual level of significance.
Graph:
Determine the
p -value.
Do you or do you not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.
Language survey
About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%.
H
0 : ___________
H
a : ___________
In words, define the random variable. __________ = _______________
The distribution to use for the test is ________________
Determine the test statistic using your data.
Draw a graph and label it appropriately. Shade the actual level of significance.
Graph:
Determine the
p -value.
Do you or do you not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.
Jeans survey
Suppose that young adults own an average of three pairs of jeans. Survey eight people from your class to determine if the average is higher than three. Assume the population is normal.
H
0 : _____________
H
a : _____________
In words, define the random variable. __________ = ______________________
The distribution to use for the test is _______________________.
Determine the test statistic using your data.
Draw a graph and label it appropriately. Shade the actual level of significance.
Graph:
Determine the
p -value.
Do you or do you not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ...
Step 2: Find each score's deviation from the mean. ...
Step 3: Square each deviation from the mean. ...
Step 4: Find the sum of squares. ...
Step 5: Divide the sum of squares by n – 1 or N.
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400
a. what is the probability of getting more than 12,000 hits?
b. what is the probability of getting fewer than 9,000 hits?
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits