Question

In: Statistics and Probability

Do Americans trust advertisements? A survey asked Americans who view advertisements at least once a month...

Do Americans trust advertisements? A survey asked Americans who view advertisements at least once a month how honest the advertisements that they see, read, and hear are. The results were:

Geographical Region

Honest?

Northeast

Midwest

South

West

Total

Yes

102

118

220

115

555

No

74

93

135

130

432

Total

176

211

355

245

987

  1. Develop and populate a frequency and percentage table to show the number and percentage differences between areas of the country on their perspective of honesty in commercials.
  2. Is there evidence of a significant difference among the areas of the country on their perspective of the honesty in commercials. Use the probability of 0.05.
  3. Determine the p-value and interpret its meaning.
  4. If appropriate, use the Marascuilo procedure and p=0.05 to determine which regions of the country differ.

Solutions

Expert Solution

a)

b)

Critical value X^2 = 7.8147

chi square stat > chi square critical, so we reject null hypothesis.

so it is clear to conclude that  there is a significant difference among the areas of the country on their perspective of the honesty in commercials

c)

p value = 0.003554 from chi-square

p value < 0.05 that means reject null hypothesis and it concludes that there is a significant difference among the areas of the country on their perspective of the honesty in commercials


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