Hypothesis Testing - Conclusions: Choose the appropriate concluding statement fo

Question

Hypothesis Testing - Conclusions: Choose the appropriate concluding statement for the following hypothesis tests.

(a) You claim that the mean volume in all 12-ounce cans of Fizzy Pop soda is greater than 12 ounces. After analyzing the sample data and performing a hypothesis test, you fail to reject the null hypothesis.

1. The data supports the claim that the mean volume in all 12-ounce cans of Fizzy Pop is greater than 12 ounces.
2. There is not enough data to support the claim that the mean volume in all 12-ounce cans of Fizzy Pop is greater than 12 ounces.    
3. There is enough data to justify rejection of the claim that the mean volume in all 12-ounce cans of Fizzy Pop is greater than 12 ounces.
4. There is not enough data to justify rejection of the claim that the mean volume in all 12-ounce cans of Fizzy Pop is greater than 12 ounces.

(b) You claim that the average speed of all cars traveling down a certain stretch of highway is equal to 74 miles per hour (mph). After analyzing the sample data and performing a hypothesis test, you reject the null hypothesis.

1. The data supports the claim that the average speed is equal to 74 mph.
2. There is not enough data to support the claim that the average speed is equal to 74 mph.    
3. There is enough data to justify rejection of the claim that the average speed is equal to 74 mph.
4. There is not enough data to justify rejection of the claim that the average speed is equal to 74 mph.

(c) You claim that the proportion of all cars traveling below the speed limit is less than 35%. After analyzing the sample data and performing a hypothesis test, you reject the null hypothesis.

1. The data supports the claim that the proportion of all cars traveling below the speed limit is less than 35%.
2. There is not enough data to support the claim that the proportion of all cars traveling below the speed limit is less than 35%.    
3. There is enough data to justify rejection of the claim that the proportion of all cars traveling below the speed limit is less than 35%.
4. There is not enough data to justify rejection of the claim that the proportion of all cars traveling below the speed limit is less than 35%.

Explanation / Answer

(a) Here we fail to reject the null hypothesis so "There is not enough data to support the claim that the mean volume in all 12-ounce cans of Fizzy Pop is greater than 12 ounces. " option 2 is correct.

(b) Here we reject the null hypothesis so here the correct thing is "There is enough data to justify rejection of the claim that the average speed is equal to 74 mph." OPtion 3 is correct.

(c) We reject the null hypothesis so here the right thing is "The data supports the claim that the proportion of all cars traveling below the speed limit is less than 35%.." Option 1 is correct.

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