Difference between the proportions of likes

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Assuming the test data gathered from surveys of the large population of astronauts and test pilots follow a normal distribution, you obtained means and standard deviations for your data set, given:

N1=100

The number of astronauts and test pilots who tried the "next gen" space suit.

X1=45

The mean number of "likes" for next gen space suits.

N2=50

The number of astronauts and test pilots who wore the "proven" space suits.

X2=25

The mean number of likes for the proven space suits.

Answer the following questions:

  1. Which statistical analysis strategy would be appropriate to evaluate this scenario?
  2. At the 0.01 level of significance, is there evidence of a significant difference between the proportions of likes in next gen and proven space suits?
  3. Set up a 99% confidence interval estimate of the difference between the two proportions.
  4. Give a narrative of your analysis strategy and response to whether the perceived quality of the next generation space suits is significantly better than the "proven" Shuttle & Soyuz-era space suits.

Reference no: EM132464581

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