Q1- When performing a hypothesis test there exists the possibility of making errors in our conclusion. There are 2 types of errors and they referred to as Type I error and Type II error.

Which of the following statement is correct for Type II error:

Select one:

a. Type II error occurs when we reject H0 when it is falseb. Type II error occurs when we do not reject H1 but it is falsec. Type II error occurs when we reject H1 when it is falsed.We do not need to worry about Type II error e. Type II error occurs when we do not reject H0 but it is false

Q2-

The Australian Department of Education, Employment and Workplace Relations conducted a survey of 754 companies providing financial advice to customers. The report found that 49% of the 754 companies reported difficulty in finding customers over the previous 12 months. At the 10% significance level, can you state that the percentage of all companies providing financial advice who had difficulty finding customers is different from 45%?

The population permanentof interest is :

The null hypothesis is :

The alternative hypothesis is :

The level of significance is :

H0 will be rejected if :

The test statistics is :

The P-value is :

The decisionis :

Based on the sample there is :

Q3-

A manufacturer claims that the percentage of defective items in his production line is at most 20%. A random sample of 400 items was tested and indicated 22% of defective items.

To perform an appropriate hypothesis test to determine if the manufacturer's claim is supported by the data, which hypotheses should you test?

Select one:

a. H0: p 0.2 vs H1: p > 0.2b. H0: p 0.22 vs H1: p > 0.22c. H0: 0.2 vs H1: > 0.2d. H0: 0.22 vs H1: >0.22

Q4-

A hypothesis test has a test statistic which follows a z-distribution. It is a upper-tailed test with a significance level of 1%. What is the correct decision rule?

Select one:

a. Reject H0 if Z_STAT is greater than 2.5758b. Reject H0 if Z_STAT is greater than 1.6449c. Reject H0 if Z_STAT is less than -2.3263 or if Z_STAT is greater than +2.3263d. Reject H0 if Z_STAT is greater than 1.2816e. Reject H0 if Z_STAT is greater than 2.3263

Q5-The director of manufacturing at a textile mill needs to determine whether a new machine is producing a particular type of cloth according to the manufacturer's specifications, which indicate that the cloth should have a mean breaking strength of 40 kgs. The standard deviation is known to be 4 kgs. A sample of 49 pieces of cloth reveals a mean breaking strength of 39.1 kgs. Is there evidence that the mean breaking strength is less than 40 kgs? Use a 1% test.

The population permanentof interest is :

The null hypothesis is :

The alternative hypothesis is :

The level of significance is :

H0 will be rejected if :

The test statistics is :

The P-value is :

The decisionis :

Based on the sample there is :

Q6-

A large supermarket chain has a target average processing time of 90 seconds for customers who reach a checkout in the "12 items or less" queue. To test that a particular store is meeting this target, the processing time taken by a random sample of 50 customers in this queue is recorded during a one-day trading period. The average processing time is found to be 79 seconds with a standard deviation of 26.5 seconds. Is there evidence that the actual mean processing time is below the target of 90 seconds? Use a 10% test.

Note: Report the test statistic value and p-value to 4 d.p. Use Excel to calculate the critical values and p-value.

The population permanentof interest is :

The null hypothesis is :

The alternative hypothesis is :

The level of significance is :

H0 will be rejected if :

The test statistics is :

The P-value is :

The decisionis :

Based on the sample there is :

Q7-

Using the p-value approach, what is the correct order of steps to hypothesis testing?

Select one:

a.

1. State the level of significance.
2. State the hypotheses.
3. Determine the test statistic.
4. Calculate the value of test statistic and p-value.
5. Make a decision and answer the question.

b.

1. State the hypotheses.
2. State the level of significance.
3. Determine the test statistic.
4. Calculate the value of test statistic and p-value.
5. Make a decision and answer the question.

c.

1. State the hypotheses.
2. Determine the test statistic.
3. Calculate the value of test statistic and p-value.
4. State the significance level.
5. Make a decision and answer the question.

d.

1. State the hypotheses.
2. Determine the test statistic.
3. Make a decision and answer the question.
4. State the level of significance.
5. Calculate the value of test statistic and p-value.