Question

Stats leab 9.1 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 o = 2. Using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower. 1. Ho 2. H 3. In words, define the random variable. 4. The distribution to use for the test is 5. Determine the test statistic using your data 6. Draw a graph and label it appropriately.Shade the actual level of significance. a. Graph: Figure 9.21 b. Determine the p-value 7. Do you or do you not reject the null hypothesis? Why? 8. Write a clear conclusion using a complete sentence. Language Survey About 42.3% of Califomians 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%.

Answer 1

Television survey

1. Ho: = 4

It was stated that Americans watch television on an average four hours per day so the Ho is as stated above. Please note that null hypothesis Ho is always a hypothesis of no difference i.e. Ho always contains equality sign.

2. Ha: < 4.

We have to conduct a hypothesis test to determine if the average of students at school is lower hence the Ha is as stated above. Note that, what researcher wants to test or researcher's claim is alternative hypothesis.

3. In words, random variable is defined as

X= Number of hours an American watches television on a day.

4. The distribution to use for the test is standard normal distribution.

We want to test for the mean of one sample and the population standard deviation is known hence we will use standard normal distribution.

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