Null and alternative hypotheses


A nonprofit company concerned with the school dropout rates in a nearby stats has designed a tutoring program at students between 16 to 18 years old. The high school dropout rate in the state for the year 2000 was 9.2% Once school district, who adopted the use of the nonprofit's tutoring program and whose dropout rate has always been very close to the stat average, reported in 2004 the 156 of their 1757 students dropped out. Is their evidence that the tutoring program has been effective?

1) What are the null and alternative hypotheses?

a. Ho:p<0.092 vs. HA:p=0.092

b. Ho:p>0.092 vs. HA:p=0.092

c. Ho:p=0.092 vs. HA:p<0.092

d. Ho:p=0.092 vs. HA:p>0.092

2) What is the value of the test statistic?

a. The test statistic is ___. (round to tow decimal places, as needed)

b. The assumptions and conditions are not met, so the test cannot proceed.

3) What is the P-value of the test statistic? Please show work.

a. P-value=___(round to four decimal places as needed)

b. The assumptions and conditions are not met, so the test cannot proceed.

4) Is their evidence that the tutoring program has been effective?

a. Since the P-value is less than 0.05, reject Ho. There is sufficient evidence to determine there is a decrease in the dropout rate from 9.2%.

b. Since the P-value is greater than 0.05, fail to reject Ho. There is insufficient evidence to determine there is a decrease in the dropout rate from 9.2%

c. Since the P-value is less than 0.05, reject Ho. There is insufficient evidence to determine there is a decrease in the dropout rate of 9.2%.

d. Since the P-value is greater than 0.05, fail to reject Ho. There is sufficient evidence to determine there is a decrease in the dropout rate from 9.2%

e. No conclusions can be drawn because the conditions and assumptions were not met for the hypothesis test.

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Basic Statistics: Null and alternative hypotheses
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