Question

post test: inferences from data
pinks 22%
blues 29%
yellows 24%
greens 25%
based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors.
another member doesn’t agree and thinks they should do more research. which statements would support her request?
□ a majority of the management team prefers the yellow family of colors.
□ since only existing customers were surveyed, the results were not random.
□ the mail - in survey may have resulted in an undercoverage bias.
□ the difference among the percentages is not statistically significant enough to make the claim of majority.
□ not all color families were represented in the survey, which could cause a nonresponse bias.

Explanation:

1. If only existing customers were surveyed, the sample is not random and may not represent the entire population of potential customers, justifying more research.
2. Mail - in surveys can have undercoverage bias as not all people may receive or respond to the mail, so more research could be needed.
3. The differences in percentages (22%, 24%, 25%, 29%) are not large enough to clearly claim a majority for blues, indicating a need for further study.

Answer:

• Since only existing customers were surveyed, the results were not random.
• The mail - in survey may have resulted in an undercoverage bias.
• The difference among the percentages is not statistically significant enough to make the claim of majority.