Question

The spinning dancer is a moving image of a woman that appears to be spinning . Some people see her spinning clockwise while others see her spinning counterclockwise . Researchers collected data on whether or not people thought she was spinning clockwise out of a sample of 70 people. Q5.195 Confidence interval 1 Point A 95% confidence interval for these data is (0.593, 0.807). Based on this information, which of the following statements are true? Select all that apply. There is a 95% chance that the true proportion of people who thought she was spinning clockwise is between 0.593 and 0.807 .

A) there is a 95% chance that the true proportion of people who thought she was spinning clockwise is between 0.593 and 0.807

B) The sample proportion of people who thought she was spinning clockwise is 0.70

C)If the confidence level was raised to be 99%, the interval would be narrowed

D)The margin of error is equal to 0.107

Answer 1

Solution:

The correct options are:

A) There is a 95% chance that the true proportion of people who thought she was spinning clockwise is between 0.593 and 0.807

B) The sample proportion of people who thought she was spinning clockwise is 0.70

D)The margin of error is equal to 0.107

Explanation:

The interpretation of the 95% confidence interval is that there is 95% chance that the true proportion of people who thought she was spinning clockwise is between 0.593 and 0.807.

The sample proportion is:

The margin of error is: