A video streaming service announced that 40% of its subscribers in the United
States
watched its latest documentary. Robert believes this proportion is higher
for the
subscribers living in Virginia. He randomly selects a sample of subscribers
to survey and
finds that 148 out of 300 subscribers watched the documentary.
Assume all the conditions for performing a significance test with a z-statistic are
met
and use a significance level of a 0.05. Calculate the p-value and make a
conclusion.
(1 point)
The p-value is 0.99952. Since the p-value is greater than the significance level,
Robert fails to reject the null hypothesis. This suggests that the proportion of
subscribers in Virginia who watched the documentary is 0.4.
The p-value is 0.00096. Since the p-value is greater than the significance level,
Robert rejects the null hypothesis. This suggests that the proportion of subscribers
in Virginia who watched the documentary is greater than 0.4.
The p-value is 0.00048. Since the p-value is less than the significance level, Robert
rejects the null hypothesis. This suggests that the proportion of subscribers in
Virginia who watched the documentary is greater than 0.4.
The p-value is 0.00062. Since the p-value is less than the significance level, Robert
Orejects the null hypothesis. This suggests that the proportion of subscribers in
Virginia who watched the documentary is greater than 0.4.