Question

Elementary Statistics questions..

Answer 1

the sample proportion is always the midpoint in the confidence interval.
----> (.77+73)/2 = 0.75

The margin of error is the difference between the midpoint and the endpoints of confidence interval
---> 0.77 - 0.75 = 0.02

Answer 2

Oh. So I completely ignore 95% confidence?

Answer 3

I have a few more questions that I have no examples of, would you mind helping me with some of them?

Answer 4

sure, well the 95% confindence is important in setting up the interval but since its given to you, its not relevant to answering those questions

Answer 5

Alright. Thank you

Answer 6

I have no idea on where to even start on these

Answer 7

\[n = \frac{z^2 p(1-p)}{M^2}\]
z = 1.96 because we want 95% confidence
p = 0.5
M = margin of error = 0.02

Answer 8

by the way here is a reference i am using:
https://onlinecourses.science.psu.edu/stat200/node/256

Answer 9

I have never seen that formula before

Answer 10

what formulas are you using in class?

Answer 11

For these questions Im working under chapters 6 and 7

Answer 12

ok its same formula used for sample size in ch. 6
they use E for margin of error
they use sigma for variance, for proportions
\[\sigma^2 = p (1-p)\]

Answer 13

when they use q,
q = 1-p

Answer 14

Sorry but which formula are you talking about exactly?

Answer 15

Chapter 6:
Min sample size to estimate p:
\[n = pq (\frac{z}{E})^2\]
q = 1-p
z = 1.96 for 95% confidence
E = 0.02

Answer 16

Okay I thought so

Answer 17

I got 2401

Answer 18

yes correct

Answer 19

Okay. Next question

Answer 20

Its a three part one :/

Answer 21

first lets find null hypothesis
he picks up avg of 4 tons

alternative would be picking up more than 4 tons

\[H_0 : x = 4\]
\[H_a: x > 4\]

Answer 22

Hmm I don't have that an an option.

A. Ho: >4 vs. Ha: <4
B. Ho: </ 4 vs, Ha: >4
C. Ho: >/ 4 vs Ha: <4
D. Ho: = 4 Ha: =/ 4

Answer 23

The type II error is: Not concluding that the garbage collector picks up on average more than four tons of garbage per day when, in fact, he does.

Answer 24

oh ok, well null hypothesis is the normal default action.
in this case it picking up 4 or less tons

answer B

Answer 25

Okay

Answer 26

type 2 error answer is right

Answer 27

Alright

Answer 28

ok a = .05
p = .04

if p < a , what do we do?

Answer 29

If p-value is less than alpha, the null hypothesis should be rejected

Answer 30

correct

Answer 31

It was one of my previous questions

Answer 32

My options are:
A. Fail to reject Ho because the p-value is less than 0.05
B. Reject Ho because the p-value is less then 0.05
C. Accept Ho because the p-value is less than 0.05
D. Fail to accept Ho because the p-value is less than 0.05

Answer 33

B, you either reject or fail to reject

Answer 34

Okay.. I have three more. Im going to put them in a new question so I can give you another metal. And this question is getting long.

Answer 35

ok