STAT 202MID TERM STATISTICAL INFERENCE AND
APPLICATIONS TEST
The critical value in a hypothesis test: - answers✔✔is a cutoff between the rejection and non
rejection regions
Compared to using a = 01. choosing a =.001 will make it less likely that a true null hypothesis
will be rejected. - answers✔✔True: the smaller alpha is, the narrower the rejection zones are
If the null and alternative hypotheses are H0: μ ≤ 100 and H1: μ > 100, the test is right-tailed. -
answers✔✔True: Right-tailed tests start with a "less than" mean in the null hypothesis
In a right-tailed test, the null hypothesis is rejected when the value of the test statistic exceeds
the critical value - answers✔✔True: Trying to prove mean is greater than null hypothesis
In hypothesis testing, we cannot prove a null hypothesis is true - answers✔✔True: We can only
prove if it is not.
In a two tailed hypothesis test comparing two proportions, the p-value is 0.11 and α = 0.05. True
or false: the null hypothesis is rejected. - answers✔✔False:
Null hypothesis can only be rejected if the p-value is smaller than alpha
In a two-tailed hypothesis test comparing the means of independent samples, the test statistic
is 3.06 and the critical values are +/-2.086. True or false: the null hypothesis is rejected. -
answers✔✔True
APPLICATIONS TEST
The critical value in a hypothesis test: - answers✔✔is a cutoff between the rejection and non
rejection regions
Compared to using a = 01. choosing a =.001 will make it less likely that a true null hypothesis
will be rejected. - answers✔✔True: the smaller alpha is, the narrower the rejection zones are
If the null and alternative hypotheses are H0: μ ≤ 100 and H1: μ > 100, the test is right-tailed. -
answers✔✔True: Right-tailed tests start with a "less than" mean in the null hypothesis
In a right-tailed test, the null hypothesis is rejected when the value of the test statistic exceeds
the critical value - answers✔✔True: Trying to prove mean is greater than null hypothesis
In hypothesis testing, we cannot prove a null hypothesis is true - answers✔✔True: We can only
prove if it is not.
In a two tailed hypothesis test comparing two proportions, the p-value is 0.11 and α = 0.05. True
or false: the null hypothesis is rejected. - answers✔✔False:
Null hypothesis can only be rejected if the p-value is smaller than alpha
In a two-tailed hypothesis test comparing the means of independent samples, the test statistic
is 3.06 and the critical values are +/-2.086. True or false: the null hypothesis is rejected. -
answers✔✔True
