Question

To target the right age-group of people, a marketing consultant must find which age-group purchases from home-shopping channels on TVs more frequently. According to management of TeleSell24/7, a home-shopping store on TV, about 40% of the online-music-downloaders are in their fifties, but the marketing consultant does not believe in that figure. To test this he selects a random sample of 182 online-music-downloaders and finds 66 of them are in their fifties.

1.What are the appropriate hypotheses the marketing consultant should test?
A. H0:p=0.363H0:p=0.363 against Ha:p≠0.363Ha:p≠0.363 .
B. H0:p=0.363H0:p=0.363 against Ha:p<0.363Ha:p<0.363 .
C. H0:p=0.4H0:p=0.4 against Ha:p≠0.4Ha:p≠0.4 .
D. H0:p=0.4H0:p=0.4 against Ha:p<0.4Ha:p<0.4 .
E. H0:p=0.4H0:p=0.4 against Ha:p>0.4Ha:p>0.4 .
F. H0:p=0.363H0:p=0.363 against Ha:p>0.363Ha:p>0.363 .

2. The test-statistic formula is:

z=p^−0.40.4(1−0.4)/182−−−−−−−−−−−−−√z=p^−0.40.4(1−0.4)/182

z=p−0.3630.363(1−0.363)/182−−−−−−−−−−−−−−−−−√z=p−0.3630.363(1−0.363)/182

z=p−0.40.4(1−0.4)/182−−−−−−−−−−−−−√z=p−0.40.4(1−0.4)/182

z=p^−0.3630.363(1−0.363)/182−−−−−−−−−−−−−−−−−√z=p^−0.3630.363(1−0.363)/182

3. Rejection region: We reject H0H0 at 1% level of significance if:
A. z>2.326z>2.326 .
B. z>2.347z>2.347 .
C. z<−2.326z<−2.326 .
D. z<−2.347z<−2.347 .
E. |z|>2.576|z|>2.576 .
F. |z|>2.603|z|>2.603 .

4. The value of the test-statistic is: Answer to 2 decimal places.

5. If α=0.01α=0.01 , what will be your conclusion?
A. Reject H0H0 .
B. Do not reject H0H0 .
C. There is not information to conclude.

6. The p-value of the test is: Answer to 4 decimal places.

7. We should reject H0H0 for all significance level (αα ) which are
A. larger than p-value.
B. not equal to p-value.
C. smaller than p-value.

Answer 1

TOPIC:Test for population proportion.