In: Statistics and Probability
A restaurant association says the typical household in the U.S. spends a mean of $2600 per year on food away from home. An author of a national travel publication tests this claim and calculated a p-value of 0.8215. What conclusion can this author make at the 0.05 level of significance?
It is required to test the claim that the typical household in the U.S. spends a mean of $2600 per year on food away from home
Let be the population mean US household spend on food away from home
Then, the null and alternative hypotheses are
p-value = 0.8215
Level of significance
0.8215 > 0.05
that is, p-value > level of significance
Hence, the null hypothesis is not rejected
There does not exist sufficient statistical evidence at 0.05 level of significance to show that the mean amount spent by a typical household in US on food away from home is not equal to $2600
That is,
The claim is true and the typical household in the U.S. does spend a mean of $2600 per year on food away from home
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