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

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

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

d. Reject the null hypothesis and there is not 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. =0.1

b. =0.005

c. =0.01

d. =0.03

03Given the following information:

H0: p = 0.09

H1: p < 0.09

n=60

sample proportion = 0.085

Calculate the test statistic (four decimal places).

Answer: ?

04The 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.

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

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Find the test statistics (Three decimal places).

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

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Give complete conclusion to the store owner

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05A 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

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Expression for test stats with appropriate numbers and the value are

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The conclusion of the hypothesis testing is

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