Determine the null and alternative hypotheses

Question

Assignment:

86 total students were asked:

Do you feel sleep deprived? Mean # hours of sleep

Yes (51 students) 5.94

No (35 students) 7.06

Ho: mean = 7 hours of sleep, no feeling of sleep deprivation
Ha: mean = < 7 hours of sleep, feeling of sleep deprivation

Explain each of the 5 hypothesis steps individually and in detail.

1) Determine the null and alternative hypotheses.

2) Assuming that null hypothesis is true, find p-value

3) Decide whether or not the result is statistically significant based on the p-value (.05 level of significance)

4) Report the conclusion

Deprived	SleepHrs
No	3
No	5
No	6
No	6
No	6
No	6
No	6
No	6
No	6
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	7
No	8
No	8
No	8
No	8
No	8
No	8
No	8
No	8
No	8
No	8
No	8
No	9
No	9
Yes	0
Yes	3
Yes	4
Yes	5
Yes	5
Yes	5
Yes	5
Yes	5
Yes	5
Yes	5
Yes	5
Yes	5
Yes	5
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	6
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	7
Yes	8
Yes	10