The head start program provides a wide range of services tolow-income children up to the age of 5 years and their families.Its goals are to provide services to improve social and learningskills and to improve health and nutrition status so that theparticipants can begin school on an equal footing with their moreadvantaged peers. The distribution of ages for participatingchildren is as follows 12% five-year-olds, 47% four-year-olds, 33%three-year-olds, and 8% under three years. When the program wasassessed in a particular region, it was found that of the 215randomly selected participants, 17 were 5 years old, 101 were 4years old, 60 were 3 years old, 37 were under 3 years old. Performa test to see if there sufficient evidence at ?? = 0.10 that theregion's proportions differ from the national proportions.
The correct hypotheses are:
- H0:H0: The regional distribution is a good fit to the nationaldistribution. HA:HA: The regional distribution is not a good fit tothe national distribution.(claim)
- H0:H0: The regional distribution is not a good fit to thenational distribution. HA:HA: The regional distribution is a goodfit to the national distribution.(claim)
- H0:H0: The regional distribution and the national distributionare independent. HA:HA: The regional distribution and the nationaldistribution are dependent.(claim)
- H0:H0: The regional distribution and the national distributionare dependent. HA:HA: The regional distribution and the nationaldistribution are independent.(claim)
The test value is (round to 3 decimal places)
The p-value is (round to 3 decimal places)
According to the Bureau of Transportation Statistics, on-timeperformance by airlines is described as follows:
| Action | % of time |
| On Time | 71 |
| National Aviation System Delay | 8 |
| Aircraft arriving late | 8 |
| Other (weather and other conditions) | 13 |
When a study was conducted it was found that of the 250 randomlyselected flights, 180 were on time, 18 were a National AviationSystem Delay, 20 arriving late , 32 were due to weather. Perform atest to see if there is sufficient evidence at ?? = 0.05 to see ifthese differ from the governments statistics.
The correct hypotheses are:
- H0:H0: The sample is a good fit to the Bureau of TransportationStatistics. HA:HA: The sample is not a good fit to the Bureau ofTransportation Statistics.(claim)
- H0:H0: The sample is not a good fit to the Bureau ofTransportation Statistics. HA:HA: The sample is a good fit to theBureau of Transportation Statistics.(claim)
- H0:H0: The sample and the Bureau of Transportation Statisticsare independent. HA:HA: The sample and the Bureau of TransportationStatistics are dependent.(claim)
- H0:H0: The sample and the Bureau of Transportation Statisticsare dependent. HA:HA: The sample and the Bureau of TransportationStatistics are independent.(claim)
The test value is (round to 3 decimal places)
The p-value is (round to 3 decimal places)
The head start program provides a wide range of services tolow-income children up to the age of 5 years and their families.Its goals are to provide services to improve social and learningskills and to improve health and nutrition status so that theparticipants can begin school on an equal footing with their moreadvantaged peers. The distribution of ages for participatingchildren is as follows 10% five-year-olds, 50% four-year-olds, 28%three-year-olds, and 12% under three years. When the program wasassessed in a particular region, it was found that of the 202randomly selected participants, 20 were 5 years old, 99 were 4years old, 46 were 3 years old, 37 were under 3 years old. Performa test to see if there sufficient evidence at ?? = 0.01 that theregion's proportions differ from the national proportions.
The correct hypotheses are:
- H0:H0: The regional distribution is a good fit to the nationaldistribution. HA:HA: The regional distribution is not a good fit tothe national distribution.(claim)
- H0:H0: The regional distribution is not a good fit to thenational distribution. HA:HA: The regional distribution is a goodfit to the national distribution.(claim)
- H0:H0: The regional distribution and the national distributionare independent. HA:HA: The regional distribution and the nationaldistribution are dependent.(claim)
- H0:H0: The regional distribution and the national distributionare dependent. HA:HA: The regional distribution and the nationaldistribution are independent.(claim)
The test value is (round to 3 decimal places)
The p-value is (round to 3 decimal places)
According to the Bureau of Transportation Statistics, on-timeperformance by airlines is described as follows:
| Action | % of time |
| On Time | 68 |
| National Aviation System Delay | 7 |
| Aircraft arriving late | 8 |
| Other (weather and other conditions) | 17 |
When a study was conducted it was found that of the 230 randomlyselected flights, 159 were on time, 21 were a National AviationSystem Delay, 21 arriving late , 29 were due to weather. Perform atest to see if there is sufficient evidence at ?? = 0.01 to see ifthese differ from the governments statistics.
The correct hypotheses are:
- H0:H0: The sample is a good fit to the Bureau of TransportationStatistics. HA:HA: The sample is not a good fit to the Bureau ofTransportation Statistics.(claim)
- H0:H0: The sample is not a good fit to the Bureau ofTransportation Statistics. HA:HA: The sample is a good fit to theBureau of Transportation Statistics.(claim)
- H0:H0: The sample and the Bureau of Transportation Statisticsare independent. HA:HA: The sample and the Bureau of TransportationStatistics are dependent.(claim)
- H0:H0: The sample and the Bureau of Transportation Statisticsare dependent. HA:HA: The sample and the Bureau of TransportationStatistics are independent.(claim)
The test value is (round to 3 decimal places)
The p-value is (round to 3 decimal places)
