can always be accepted if the sample is large enough
a concept that should be accepted
none of the above
The larger the value of the test statistic the more likely you are to
reject the alternative hypothesis
accept the null hypothesis
reject the null hypothesis
reject the null hypothesis and reject the alternative hypothesis
Given H0: μ = £100, H1: μ ≠ £100, a significance level of 5% and z = 2.07
you would accept the null hypothesis
you would reject the null hypothesis
you would change the level of significance
you would accept the alternative hypothesis
Given H0: п = 50%, H1: п ≠ 50%, a significance level of 5% and z = -1.04
you would accept the null hypothesis
you would reject the null hypothesis
you would change the level of significance
you would accept the alternative hypothesis
A Local Authority is interested in whether the average travel distance to school within a study area has remained at 2 miles or has increased The hypotheses can be stated as:
H0 μ = 2 H1 μ ≠ 2
H0 μ = 2 H1 μ < 2
H0 μ = 2 H1 μ > 2
H0 μ < 2 H1 μ = 2
The marketing department claims that 60% of customers are aware of the full range of the products offered by the company. Senior management thinks it could be less. The hypotheses can be stated as:
H0 п = 60% H1 п ≠ 60%
H0 п = 60% H1 п < 60%
H0 п = 60% H1 п > 60%
H0 п < 60% H1 п = 60%
Given H0 (П1 – П 2) = 0 and H1 (П 1 – П 2) < 0 where П is a percentage, we are testing
a null hypothesis that the percentage in population 1 is smaller than the percentage in population 2
a null hypothesis that the than the percentage population 1 is larger than the percentage population 2
a null hypothesis of no difference against an alternative that the percentage of population 1 is smaller that population 2
a null hypothesis of no difference against an alternative that the percentage of population 1 is larger that population 2
When using the t distribution, the critical value will depend upon