For the chi-square tests in the analysis of categorical data, the rejection region 1.is always located in the lower tail of the distribution. 2.is alw

Students score on a biology test is an example of which scale of measurement?

Jane has scores of 84, 92, and 89 on her first 3 exams. What does she need to score on the next exam so that her overall average will be 90?

From a collection of objects numbered $\{1,2,....,K\}$ objects are picked and replaced. We want to test $H_0:K=100000$ against $H_1<100000$, with the highest ranking number $M$ of our sample as test statistic. We find for our realisation for $M$ the value $81115$.
What is the $P$ value?
The correct answer is: $0.015$
I know that the definition of the $p$-value is:
The p-value is the probability of getting the observed value of the test static or a value with even greater evidence against $H_0$, if the hypothesis is actually true
or in formula form $P(T\ge t)$
I have the following questions:
What are $T$ and $t$?
I think that distribution is uniform, but how do I calculate the $p$-value?

Statistical Literacy When using the F distribution to test variances from two populations, should the random variables from each population be independent or dependent?

Given a set {11, x, -44, 1}, for what x would the mean be 4?

In conducting a significance test, is it easier or harder to reject the null hypothesis when the sample size is 1,500 compared to a sample size of 1,000?
a) easier
b) harder

a) Explain whether the situation involves comparing proportions for two groups or comparing two proportions from the same group.
Also, check whether the methods of the section apply to the difference in proportions.
b) Explain whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. Also, check whether the methods of the section apply to the difference in proportions.
c) Explain whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. Also, check whether the methods of the section apply to the difference in proportions.
d) Explain whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. Also, check whether the methods of the section apply to the difference in proportions.