I have 2 questions please explain solution thanks!

Question1

In 2014 the number of days the average employee at BBK called out sick was 15 days.

BBK has started a new policy that employees will lose their sick days and they want to determine if this is increasing the number of days employees call out sick.

From the sample of 8 employees below using a .05 significance level,can you formulate the decision rule? (State rejection region)

Standard deviation of the data set below is 1.54

15

20

23

17

9

14

18

13

a. Reject H0if z > 1.96

b. Reject H0if t > 2.998

c. Reject H0if t > 2.365

d. Reject H0if z > 1.65

Question 2

A national report claims that 70% of people eat out two nights a week.30 out of the 50 people surveyed reported that they ate outtwo nights a week.

Can you prove their claim that 70% of people eat out two nights a week?Use a .05 level of significance.(use z or t of -1.54)

a. H0is rejected; we can conclude that 70% of people eat out two nights a week.

b. H0is NOT rejected; we can conclude that 70% of peopleeat out two nights a week.

c. H0is rejected; we CANNOT conclude that 70% of peopleeat out two nights a week.

d. H0is NOT rejected; we CANNOT conclude that 70% of peopleeat out two nights a week.