Question

Please help me, I will give you a shiny medal! (Statistics) :)

researchers compared the proportions of children who come to school without eating breakfast in two randomly picked low-income elementary schools. 19 of 80 schools 1 and 26 of 150 students from school 2 had not had breakfast. Do these data give convincing evidence of a difference in the population proportions? carry out significance test at the Alpha = 0.05 level to support your answer

Answer 1

so I did the condition requirement: Sample sizes less than 5% of the population

Answer 2

hypothesis: Im not sure is this two tailed? P-value = 2P(z > lzol)

Answer 3

It looks like the test is conducted to see if there's any significant difference at all, which suggests a two-tailed hypothesis. The alternative hypothesis is that the means of two samples \(\mu_1\neq\mu_2\) (so either one mean is larger or smaller than the other), while the null hypothesis is that \(\mu_1=\mu_2\).

Answer 4

ahh I see, thank you very much!

Answer 5

yw