Answer:
Correct option: (D).
Step-by-step explanation:
The hypothesis for testing whether there is a difference between the two population proportions is:
H₀: The population proportion of students who drive to school for R and S is same, i.e. p₁ = p₂.
Hₐ: The population proportion of students who drive to school for R was greater than that for S, i.e. p₁ > p₂.
The difference between the two sample proportion is,
[tex]\hat p_{1}-\hat p_{2}=0.07[/tex]
And the p-value of the test is:
p-value = 0.114
The p-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.
The p-value of 0.114 indicates that, assuming the null hypothesis to be true, the probability of obtaining a difference between the two sample proportions of at least 0.07 is 0.114.
The correct option is (D).