What is the name given to the claim which is being tested in a statistical test?

1.   ?    The null hypothesis
2.   ?    The alternative hypothesis
3.   ?    The significance level
4.   ?    The p-value

Which of the following best describes the p-value?

1.   ?    The probability of getting our test result or a more extreme one assuming the alternative hypothesis is true
2.   ?    The probability that our test result is true
3.   ?    The probability of getting our test result or a more extreme one assuming the null hypothesis is true
4.   ?    The probability that the alternative hypothesis is true

Identify the null hypothesis in the following example. A second hand car salesman is interested in knowing whether the cars he is selling are typical of the whole second hand market. The average age of a second hand car is known to be 28 months. A sample of 50 of his cars gives an average age of 32 months.

1.   ?    H₀: µ = 32
2.   ?    H₀: µ = 28
3.   ?    H₀: µ = 4
4.   ?    H₀: µ = 50

Suppose the null hypothesis of a test is H₀: µ = 10, the alternative is H1: µ > 10 and the test result is p-value = 0.3. What do you conclude from the test?

1.   ?    There is evidence to suggest that the population mean is greater than 10
2.   ?    The population mean is equal to 10
3.   ?    There is no evidence to suggest that the population mean is 10
4.   ?    There is no evidence to reject the claim that the population mean is 10

The average retail price of paperback books last year was £ 5.50. A sample of 30 paperbacks this year has an average price of £6.40 with a standard deviation of £2. Use tables or software to find which of the following p-values results from a test of whether or not the price has increased.

1.   ?    p-value = 0.7
2.   ?    p-value = 0.07
3.   ?    p-value = 0.000
4.   ?    p-value = 0.007

A launderette operates a large washing machine. When working properly the duration of each wash is normally distributed with a mean of 50 minutes. The manager tests the machine by carrying out 5 washes and obtains a sample average of 55 minutes with a standard deviation of 5 minutes. Which of the following best describes the p-value you would calculate to test whether the machine is working properly or if in fact it is taking longer to run?

1.   ?    p-value < 0.05
2.   ?    p-value < 0.025
3.   ?    p-value > 0.05
4.   ?    p-value < 0.01

A one sided test is carried out and a p-value of 0.03 obtained. Which of the following statements is NOT true?

1.   ?    The test is significant at the 5% level
2.   ?    The test is not significant at the 1% level
3.   ?    The test is not significant at the 5% level
4.   ?    A corresponding two-tailed test would not be significant at the 5% level

A 95% confidence interval for the mean length of time (in minutes) taken to travel from A to B is (3.56, 5.12). A test is carried out with H₀: µ = 4 and H₁: µ /= (does not equal) 4. Which of the following do not apply?

1.   ?    Reject H₀ at the 5% level
2.   ?    Retain H₀ at the 5% level
3.   ?    Test not significant at the 5% level
4.   ?    Test not significant at the 1% level

Which is the odd one out?

1.   ?    Test statistic falls in rejection region
2.   ?    Test is not significant
3.   ?    p-value is less than significance level
4.   ?    Null hypothesis is rejected

Which of the following is not determined at the beginning of a statistical test?

1.   ?    Null hypothesis
2.   ?    Alternative hypothesis
3.   ?    Significance level
4.   ?    p-value