Hello, can you please help me with a couple questions I have regarding confidence intervals and RStudio.

Shown below is the code I used in RStudio:

>prop.test(x = 50, n = 1002, conf.level = 0.95)

data: 50 out of 1002, null probability 0.5

X-squared = 810.18, df = 1, p-value < 2.2e-16

alternative hypothesis: true p is not equal to 0.5

95 percent confidence interval:

0.03761982 0.06574456

sample estimates:

p

0.0499002

With the data shown above can you help me with these two questions?

1) What is the confidence interval in data shown above and what does this confidence interval mean?

2.) p-value is reported for a hypothesis test. Write out the hypotheses for this test. What conclusion do you draw?