Null and alternative hypothesis for a test of significance


Discuss the below:

Q: Your car gets 29 miles per gallon, one day you see your mileage average is 28 miles per gallon. Is this change statistically significantly and would you look for a reason or is it more of a variation attributed to chance?

Another day you see your mileage is 22 miles per gallon - Is this change statistically significantly and would you look for a reason or is it more of a variation attributed to chance?

How much of a decrease would you need to see before you thought it statistically significant?

State the Null & Alternative Hypothesis for a test of significance:

A consumer group claims the amount of Iron in a health supplement capsule is less than the posted amount of 500 milligrams.

P-Value & Dice: Use the table to test for bias against 6's, below shows probabliity of 6's in 100 tosses.

Number of 6's Probability
8 or fewer .006
10 or fewer .020
12 or fewer .052

In 100 tosses, 10 rolls are 6's. Is this result significant at the 0.05 level? What is the P-Value for this result?

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Basic Statistics: Null and alternative hypothesis for a test of significance
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