Question

In a survey of 1245 male senior citizens, 361 said they head the daily recommended number of servings of fruit. In a survey of 1065 female senior citizens, 341 said they eat the daily recommended number of servings of fruit.

Which type of statistical analysis could you use to test if these two numbers are significantly different?

a)z-Test for One Proportion

b)Paired Sample t-Test

c)Independent Samples t-Test

d)z-Test for Two Proportion

Answer 1

Solution:

Given:

Male senior citizens:

n₁ = 1245

x₁ = Number of male senior citizens said they head the daily recommended number of servings of fruit = 361

Female senior citizens:

n₂ = 1065

x₂ = Number of female senior citizens said they head the daily recommended number of servings of fruit = 341

We have to find type of statistical analysis could you use to test if these two numbers are significantly different.

Here we have two samples from two populations and we have counts of number of senior citizens who said they head the daily recommended number of servings of fruit out of given samples. Thus we would like to test if two populations has significantly different proportions of  Male and Female senior citizens who said they head the daily recommended number of servings of fruit.

Thus we use z-Test for Two Proportion.