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A polling company reported that 37% of 1018 surveyed adults said that cellular p

ID: 2928463 • Letter: A

Question

A polling company reported that 37% of 1018 surveyed adults said that cellular phones are very harmful.

a. What is the exact value that is 37% of 1018?

The exact value is ______

b. Could the result from part (a) be the actual number of adults who said that cellular phones are very harmful? Why or why not?

A. No, the result from part (a) could not be the actual number of adults who said that cellular phones are very harmful because that is a very rare opinion.

B. Yes, the result from part (a) could be the actual number of adults who said that cellular phones are very harmful because the results are statistically significant.

C. Yes, the result from part (a) could be the actual number of adults who said that cellular phones are very harmful because the polling numbers are accurate.

D. No, the results from part (a) could not be the actual number of adults who said that cellular phones are very harmful because a count of people must result in a whole number.

c. What could be the actual number of adults who said that cellular phone are very harmful?

The actual number of adults with this opinion could be _____ (integer or decimal)

d. Among the 1018 respondents, 415 said that cellular phones are not at all harmful. What percentage of respondents said that cellular phones are not at all harmful? _____% (Round to 2 decimal places as needed)

Explanation / Answer

Solution:-

a) The exact value is 377.66

37% of 1018 = (37 × 1018)/100

37% of 1018 = 376.66

b) (D) No, the results from part (a) could not be the actual number of adults who said that cellular phones are very harmful because a count of people must result in a whole number.

c) The actual number of adults who said that cellular phone are very harmful is 377.

The actual number of adults with this opinion could be = 0.37 × 1018 = 376.66

The actual number of adults with this opinion could be = 377

d) The percentage of respondents said that cellular phones are not at all harmful is 40.77%.

The percentage of respondents said that cellular phones are not at all harmful = (415/1018)*100

The percentage of respondents said that cellular phones are not at all harmful = 40.77%.

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