Question

A coin will be tossed 15 times, and I have to decide whether it lands heads with chance 0.6 or 0.3. I’ll test the hypotheses

Null: p = 0.6
Alternative: p = 0.3

1.

First, I will use a simple decision rule: if fewer than half the tosses are heads, I will choose p=0.3; if more than half the tosses are heads, I will choose p=0.6.

The significance level of this test is ____________%.

2.

The power of the test in Problem 3 is ____________%.

3.

Suppose I want to create a new decision rule that says, “If the number of heads is less than H, then I will choose p=0.3; otherwise I will choose p=0.6.” Here H is an integer in the range 0 through 15. Is it possible for me to choose H so that the new test has a smaller significance level as well as a higher power than the test in Problem 1?

-Maybe; there is not enough information to decide.
-Yes.
-No

Answer 1

will be problem 1 is the write in the problem 2

Answer 2

2.

so The power of the test in Problem 1 is ____________%.

Answer 3

question# ans#

1 2
2 2
3
4
5 3
6
7
8
9 1
10 4
11 1
12
13 1
14 2
15 3
16 3
17
18
19
20 3
21
22 1
23 3
24 4

Answer 4

Thanks to stat001,

Answer 5

GUYS HERE ARE SOME OTHER ANSWERS

Q3 25%

Q4 43%

Q6 29%

Q7 51%

Q8 17%

Answer 6

Q3, Q6, Q7, Q8 are wrong; didn't check Q4

Q6 - 53.44
Q7 - 60.56
Q8 - 93

Answer 7

thanks argonaft plz do post others if you come up with the answers

Answer 8

any one who knows the answers to these questions 3 4 12 17 18 19 21

Answer 9

well the right answers are

Q3 38%

Q4 56%

Q6 478%

Q7 65%

Q8 89%

Answer 10

Argonaft

Something wrong in your 3:14am and 6:46am??? Pls explain

Best