A poll of 1038 teens aged 13 to 17 showed that 52% of them have made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.

Let p denote the population proportion of all teens aged 13 to 17 who have made new friends online. Identify the null and alternative hypotheses.

H0: p=_______

H1: p_______

What is the test statistic? (Round to two decimal places as needed)

z=______

What is the P-value?

P-value=______