We are interested in comparing the percentage of females versus males who feel they are overweight....

We are interested in comparing the percentage of females versus males who feel they are overweight. The following data was collected:
1. What is the 95% confidence interval for the difference in proportion between women and men?
2. What is the test statistic?

Male or Female	Total Surveyed	Number who feel they are overweight
Female	146	32
Male	84	15

Expert Solution

For female, we have the sample size is n₁= 146 , the number of favorable cases (number who feel they are overweight) is x₁=32, so then the sample proportion is

For male, we have the sample size is n₂ = 84 , the number of favorable cases (number who feel they are overweight) is x₂=15, so then the sample proportion is

The value of the pooled proportion is computed as

a) We need to construct the 95% confidence interval for the difference between population proportions p₁−p₂

The critical value for α=0.05 is z_c=1.96. The corresponding confidence interval is computed as shown below:

b)

Test Statistics

The z-statistic is computed as follows:

orchestra answered 3 years ago

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