Give a correct answer for this question In order to compare the relationship between two categorical variables, the best inference technique is ?

Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a conference

Miutiple answers may be possible (partial credit added for correct answers, pala credit deducted for incorect answers: You can't get a negative overall score for this question):
Which ofthe following are similarities of -tests and ANOVA?
B They assume homogeneity of variances.
A) They assume the Homegeneity of variances.
B) They compare the same number of group.
C) They make inferences about the relationship between two quantitative variables
D) They compare the between to the within group variation.
E) They assume normality within groups
F) They make inferences about population means

Solve given question :Situation comparing two proportions is described below. Determine whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. Compare the proportion of teachers who use internet to send email for professional activities and for student activities.

Give a full answer for the given question When you do an analysis of variance Group of answer choices: you compare estimates of the population variance for each group. you need fewer participants than for a t test for independent means. you compare two estimates of the population variance. you figure difference scores, as in a t test for dependent means.

$\overline{)\begin{array}{cc}& HouseworkHours\\ Gender& SampleSize& Mean& StandardDeviation\\ Women& 473473& 33.133.1& 14.214.2\\ Men& 488488& 18.618.6& 15.715.7\end{array}}$

a. Based on this​ study, calculate how many more hours per​ week, on the​ average, women spend on housework than men.

b. Find the standard error for comparing the means. What factor causes the standard error to be small compared to the sample standard deviations for the two​ groups? The cause the standard error to be small compared to the sample standard deviations for the two groups.

c. Calculate the​ 95% confidence interval comparing the population means for women Interpret the result including the relevance of 0 being within the interval or not. The​ 95% confidence interval for ​${\displaystyle ({\mu }_W-{\mu }_M)}$ is: (Round to two decimal places as​ needed.) The values in the​ 95% confidence interval are less than 0, are greater than 0, include 0, which implies that the population mean for women could be the same as is less than is greater than the population mean for men.

d. State the assumptions upon which the interval in part c is based. Upon which assumptions below is the interval​ based? Select all that apply.

A.The standard deviations of the two populations are approximately equal.

B.The population distribution for each group is approximately normal.

C.The samples from the two groups are independent.

D.The samples from the two groups are random.

Explain and give a full and correct answer how confusing the two (population and a sample) can lead to incorrect statistical inferences.