1. Some of the statements below refer to the null hypothesis, some to the altern
ID: 3350298 • Letter: 1
Question
1. Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, Ho, and the alternative hypothesis, Ha, in terms of the appropriate parameter ( or p).
a. The mean number of years Americans work before retiring is 34.
b. The mean starting salary for San Jose State University graduates is at least $100,000 per year.
c. 29% of high school seniors get drunk each month.
d. The chance of developing breast cancer is under 11% for women.
2. For (a) - (d) above, state the Type I and Type II errors in complete sentences.
3. For (a) - (d) above, in complete sentences:
a. State a consequence of committing a Type I error.
b. State a consequence of committing a Type II error.
Explanation / Answer
Result:
1. Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, Ho, and the alternative hypothesis, Ha, in terms of the appropriate parameter ( or p).
a. The mean number of years Americans work before retiring is 34.
This is null hypothesis, Ho and parameter is .
b. The mean starting salary for San Jose State University graduates is at least $100,000 per year.
This is null hypothesis, Ho and parameter is .
c. 29% of high school seniors get drunk each month.
This is null hypothesis, Ho and parameter is p.
d. The chance of developing breast cancer is under 11% for women.
This is alternate hypothesis, Ho and parameter is p.
Note: The null hypothesis always includes the equal sign.
2. For (a) - (d) above, state the Type I and Type II errors in complete sentences.
a).
Type I error: we reject the Ho, mean number of years Americans work before retiring is 34 when actual mean number of years Americans work before retiring is 34.
Type II error: we fail to reject the Ho, mean number of years Americans work before retiring is 34 when actual mean number of years Americans work before retiring is different from34.
b).
Type I error: `we reject the Ho, mean starting salary for San Jose State University graduates is at least $100,000 per year when actual mean starting salary for San Jose State University graduates is at least $100,000 per year.
Type II error: `we fail to reject the Ho, mean starting salary for San Jose State University graduates is at least $100,000 per year when actual mean starting salary for San Jose State University graduates is lesser than $100,000 per year.
c).
Type I error: we reject the Ho, the proportion of high school seniors get drunk each month is 0.29, when actual proportion of high school seniors get drunk each month is 0.29.
Type II error: we fail to reject the Ho, the proportion of high school seniors get drunk each month is 0.29, when actual proportion of high school seniors get drunk each month is different from 0.29.
d).
Type I error: we reject the Ho, the proportion of developing breast cancer is 0.11 or more for women when actual proportion of developing breast cancer is 0.11 or more for women.
Type II error: we fail to reject the Ho, the proportion of developing breast cancer is 0.11 or more for women when actual proportion of developing breast cancer is under 0.11 for women.
3. For (a) - (d) above, in complete sentences:
a. State a consequence of committing a Type I error.
A Type I error is when we incorrectly reject a true null hypothesis. The consequences of such a finding can be severe depending on how such a finding is sensationalized or how such a finding influences policy-making.
b. State a consequence of committing a Type II error.
Type II error is when we incorrectly retain a false null hypothesis. The consequences of such a finding can be severe depending on what the effect is that we have failed to detect.
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