quiz theory based confidence intervals categorical variable 1

Use

$\hat{p}=\frac{137}{291}≈0.47$ to answer the following questions.

Is the theory-based approach valid for this study?

Group of answer choices

YES, THE NUMBER OF SUCCESSES AND FAILURES ARE BOTH AT LEAST 10.

NO, THE DATA IS TOO STRONGLY SKEWED.

NO, THERE ARE NOT ENOUGH SUCCESSES.

YES, THE SAMPLE SIZE IS BIGGER THAN 20 AND THE DATA IS NOT TOO STRONGLY SKEWED.

Calculate the SE(
$\hat{p}$). Round to 3 decimal places.

Use the theory-based applet to find the lower bound of the 90% CI. Round to 4 decimal places.

Use the theory-based applet to calculate the upper bound of the 90% CI. Round to 4 decimal places.

If a 99% CI for
$\mathrm{Ï€}$ is (0.3423,0.3874), what was the value of
$\hat{p}$ in this study? Round to 3 decimal places.

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