# Testing of hypothesis problems

I have a good deal of difficulty with statistics - can you please assist me with the following attachment. Thank you.

Please see attached file for full problem description.

1. If the null hypothesis is true and the researchers reject it, a Type II error has been made.

True False

2. Which of the following statements is not true about the level of significance in a test of hypothesis?

a. The larger the level of significance, the more likely you are to reject the null hypothesis.

b. The level of significance is the maximum risk we are willing to accept in making a Type I error.

c. The significance level is another name for Type II error.

d. The significance level is another name for Type I error.

3. The manager of a driving school claims that the mean time taken to learn how to drive a car is 8 hours or less for all new drivers. A sample of 16 new drivers showed that the mean time taken by them to learn how to drive the car is 9.5 hours with a standard deviation of 1.5 hours. Test the manager's claim at the 1% significance level.

a. Select the null and alternate hypothesis.

1. 2.

3. 4.

b. Determine the critical values of the test statistic.

1.

2.

3

4. or

5.

c. Which equation listed below would you use? These are from chapter 10 (at the end of the chapter) on page 347 and 348.

1.

2.

3.

d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis. Provide a one sentence answer.

4. A department store manager claims that at least 45% of persons who visited this store make a purchase. In a sample of 400 persons who visited the store 150 made a purchase. Test the manager's claim at the 3% significance level.

a. State the null and alternate hypothesis.

1.

2.

3.

4.

b. Determine the rejection region for the decision rule.

1.

2.

3

4.

c. Which equation listed below would you use? These are from chapter 10 (at the end of the chapter) on page 347 and 348.

1.

2.

3.

d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis. Provide a one sentence answer.

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#### Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here.