Question

A survey found that 33% of 856 randomly sampled teens said that their parents checked to see what websites they visited. The following year, the. same question posed to 801 teens found 40% reporting such checks. Do these results provide evidence that more parents are checking?

Find the Z value rounding to 2 decimals

Find the P value rounding to 4 decimals

Answer 1

p₁ : Proportion of parents check to see what website their teens visit - previous year

p₂ : Proportion of parents check to see what website their teens visit - following year

Claim : p₁ - p₂ < 0

Null hypothesis H_o: p₁ - p₂ = 0

Alternate hypothesis : H_a p₁ - p₂ < 0(Left tailed test)

1. If Using pooled estimate proportion;

n1 : Sample Size of Sample 1-Previous year	856
n2 : Sample Size of Sample 2-following year	801
: Sample Proportion of Sample 1	0.33
: Sample Proportion of Sample 2	0.4

Z value = -2.96

For left tailed test :

p-value = 0.0015

2.

Proportions estimated separately

Z-value = - 2.96

p-value = 0.0015