17 - DIFFERENCES BETWEEN RESPONDENT GROUPS

Question 1

Different

One sample t-test

Answer 1

test whether the “sample mean” of a “continuous” variable is significantly different to a ‘test value’ (some hypothesised value)

To examine whether respondents do have positive perceptions about Sumo Salad

H0: The sample comes from a population with a mean final mark of 70 (μfinal mark=70)
HA: The sample does not come from a population with a mean final mark of 70 (μfinal mark≠70)

the sample mean is 73.125 as compared to the test value of 70, giving a difference of 3.125
this difference is statistically significant? - p-value: p⩽.05 we reject H0, meaning the sample has come from a population with a mean significantly different to the test value.

Question 2

Different

Independent samples t-test

Answer 2

whether there is a “significant difference” in sample means for a “continuous variable” for “two independent groups”

H0: There is no significant difference in TV hours per week for males and females (μmales=μfemales, or μmales−μfemales=0)
HA: There is a significant difference in TV hours per week for males and females (μmales≠μfemales, or μmales−μfemales≠0)

If p⩽.05 we reject H0, meaning the means of the two groups are significantly different.
If p>.05 we do not reject H0, meaning the means of the two groups are not significantly different.

Question 3

Different

One-way ANOVA (>= 3 groups - compared, mean)

Answer 3

One-way ANOVA is similar to the independent samples t-test but is used when three or more groups are compared.

Do respondents with different age bracket have differences in their opinions about healthy diet

H0: all the population means are equal,
H1: at least one of them is different.