Ellen’s mom thinks the local weather forecaster correctly predicts the weather 85% of the time, but Ellen thinks it is less than that. The 95% confidence interval for the true proportion of correct forecasts by this weather forecaster is (0.796, 0.862). Is it reasonable to believe the true proportion of times this weather forecaster correctly predicts the weather is less than 85%? Yes, because most of the values in the interval are below 0.85. Yes, because the center of the interval is 0.829, which is less than 0.85. No, because 0.85 is in the interval. No, because there are values in the interval that are greater than 0.85.

Answers

Answer 1

Answer:

D (No, because there are values in the interval that are greater than 0.85.)

Step-by-step explanation:

edge2021 :)

Answer 2

The true proportion of times this weather forecaster correctly predicts the weather is less than 85% are; No, because there are values in the interval that are greater than 0.85.

How to find the confidence interval for population proportion from large sample?

Suppose we're given that:

Favourable Cases X (in count, in sample)

Sample Size N

Level of significance =[tex]\alpha[/tex]

Then, the sample proportion of favorable cases is:

[tex]\hat{p} = \dfrac{X}{N}[/tex]

The critical value at the level of significance [tex]\alpha[/tex] is [tex]Z_{1- \alpha/2}[/tex]

The true proportion of times this weather forecaster correctly predicts the weather is less than 85% are given as;

IT is No, because there are values in the interval that are greater than 0.85.

Learn more about confidence interval for population proportion here:

https://brainly.com/question/16427118

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Step-by-step explanation:

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