01When a hypothesis test was done for a parameter to be more than a value (i.e, a right-tailed test), what would be the conclusion if the critical value of the significance level is smaller than the test statistics?

(Hint: Sketch the areas under normal curve or t-curve for significance level and p-value and compare them)

Select one:

a. Reject the null hypothesis and there is not significant evidence for alternative hypothesis.

b. Reject the null hypothesis and there is significant evidence for alternative hypothesis.

c. Do not reject the null hypothesis and there is not significant evidence for alternative hypothesis.

d. Do not reject the null hypothesis and there is significant evidence for alternative hypothesis.

02Choose the most suitable significance value for which one can have a high chance of making the type I errorwhen the hypotheses test is done.

Select one:

a. =0.03

b. =0.01

c. =0.1

d. =0.005

03Given the following information:

H0: p = 0.09

H1: p < 0.09

n=60

sample proportion = 0.08

Calculate the test statistic (four decimal places).

Answer: ?

04A random sample of 1562 undergraduates enrolled in marketing course was asked to respond on a scale 1 (strongly disagree) to seven (strongly agree) to the proposition: " Advertising helps raise our standard of living" . The sample mean response was 4.27 and the standard deviation was 1.32. Test the mean response for all undergraduates is different to 4.

Hypotheses for this situation are

Answer ?

Expression for test stats with appropriate numbers and the value are

Answer ?

The conclusion of the hypothesis testing is

Answer ?

choose the answer from below:

H0: =4 vs H1: > 4

(4.27-4)/1.32/1562=8.08

Since test statistics is very small, the p-value is very large even the test is two sided. We do not reject H0 and there is not significant evidence that undergraduates response mean is different to 4.

Since test statistics is very high, the p-value is very small even the test is two sided. We reject H0 and there is significant evidence that undergraduates response mean is different to 4.

(1.32-4)/4.27/1562= -24.805

H0: =4 vs H1: 4

05The owner of a small pet items supply store in Northern Sydney wants to open a store in Western Sydney. He only wants to do so if more than 33% of Western Sydney households have pets ( otherwise there won't be enough business). He randomly sample 150 of the households and finds 60 have pets. Is this random sample give the owner a confidence to open a store?

Write the hypotheses for this situation.

Answer ?

What is the standard error for sampling distribution (Three decimal places) ?

Answer ?

Find the test statistics (Three decimal places).

Answer ?

Give an expression for p-value and use a appropriate table to find the value.

Answer ?

Give complete conclusion to the store owner.

Answer ?

06Which of the following statistics are the most resistant to outliers?

Select one:

a. Mean and Median

b. Mean and IQR

c. Mean and Standard Deviation

d. Median and Inter-quartile Range

07Suppose that 24% of M&M's are blue. If we take samples of 100 M&M's, would the Central Limit Theorem apply?

Select one:

a. Yes, n 30

b. Yes, np 10 and n(1-p) 10

c. No, np 10 and n(1-p) 10

d. No, n30

08A sample of 51 Australian male ages 18 - 60 are taken. Their average height is 174.8 cm with a standard deviation of 6.7 cm. What is the critical value to be used to construct a 95% confidence interval?

Select one:

a. 1.96

b. 2.009

c. 1.676

d. 1.645

09What statistical tool is suitable to test whether there is a difference in the average spending on clothing between male and female?

Select one:

a. Chi-Square Test

b. ANOVA

c. Correlation

10Which of the following corresponds to Type II error in a hypothesis test?

Select one:

a. Not rejecting H0, when H0 is true

b. Rejecting H0, when H0 is false

c. Rejecting H0, when H0 is true

d. Not rejecting H0, when H0 is false

11Which of the following is a correct statement regarding significance level, ?

Select one:

a. It is the probability of making Type II error

b. It must be between 0 and 1 and usually closer to 1

c. It can be any positive number

d. It is the probability of making Type I error

12A survey for analysing consumer behavious includes the following questions:

What is your age?

What is your gender?

What is your status (Single or Married)?

How much you spend on clothing per month (in A$)?

How much you spend on beer per month (in A$)?

Are you willing to pay more for popular brand (Yes or No)?

What graphical display is suitable to examine if there is a relationship between spending on clothing and spending on beer?

Select one:

a. Pie chart

b. Scatter plot

c. Segmented bar chart

d. Box plot

13Which of the following is the correct alternative hypothesis to test if the average spending on clothing is more than $50/week.

Select one:

a. H1: > 50

b. H1: p = 50

c. H1: p > 50

d. H1 > 50

14A survey for analysing consumer behavious includes the following questions:

What is your age?

What is your gender?

What is your status (Single or Married)?

How much you spend on clothing per month (in A$)?

How much you spend on beer per month (in A$)?

Are you willing to pay more for popular brand (Yes or No)?

How many categorical variables will be resulted from the above survey questions?

Answer: ?