Question 9

A die is rolled 380 times; it lands five 158 times. At the 0.03 level of significance, is this enough to conclude that the die is not balanced?

State the Null and Alternative hypothesis.

1.H₀: p= 158/300 versusH_a: p158/300

2. H₀: p = 158/300 versusH_a: p > 158/300

3.H₀: p > 158/300 versusH_a: p < 158/300

4. H₀: p = 1/2 versusH_a: p1/2

5. H₀: p = 1/2 versusH_a: p <1>

6. H₀: p = 1/2 versusH_a: p > 1/2

Options

a. 4

b. 2

c. 5

d. 1

e. 6

f. something else

g. 3

correct answer (f)

Question 10

Continuing the previous die problem, find theTest statistics value z.

Options

a. something else

b. z= - 3.283

c. z= - 1.546

d. z= - 1.618

e. z= - 2.891

f. z= - 2. 191

correct answer (b)

Please solve these and I have given answers as well but idk how can I get these answers. Please show all the steps.