Stating Conclusions About Claims. In Evercises 5-8, make a decision about the gi
ID: 3070346 • Letter: S
Question
Stating Conclusions About Claims. In Evercises 5-8, make a decision about the given claim. Use only the rare event rule stated in Section 82, and make subjec- tive estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, con- elude that there is not suficient evidence to support the elaim that the coin favors heads (because it is easy to get 11 beads in 20 flips by chance with a fair coin). 5. Claim: A coin favors heads when tossed, and there are 90 heads in 100 tosses. 6. Claim: The proportion of households with telephones is greater than the proportion of 0.35 found in the year 1920. A recent simplf random sample of 2480 households results in a pro- portion of 0.955 households with telephiones (based on data from the U.S. Census Bureau). 7. Claim: The mean pulse rate (in beats per minute) of students of the author is less than 75. A simple random sample of students has a mean pulse rate of 74.4 8. Claim: Movie patrons have 1Q scores with a standard deviation that is less than the stan- dard deviation of 15 for the general population. A simple random sample of 40 movie patrons results in 1Q scores with a standard deviation of 14.8.Explanation / Answer
5. There is sufficient evidence to support the claim that the coin favors heads, because getting 90 heads in 100 tosses is a rare event.
6. There is sufficient evidence to support the claim that the proportion of households with telephone is greater than the proportion of 0.35 found in the year 1920, because 0.955 is very much greater than 0.35.
7. There is not sufficient evidence to support the claim that the mean pulse rate of students of the author is less than 75, because 74.4 is not very much less than 75.
8.. There is not sufficient evidence to support the claim that the movie patrons have IQ scores with a standard deviation that is less than the standard deviation of 15, because 14.8 is not very much less than 15.
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