Suppose you sample 400 individuals to determine whether or not they plan to buy

Question

Suppose you sample 400 individuals to determine whether or not they plan to buy a car in the next year. Based on the sample, you create a confidence interval of the proportion that plan to buy a car. The interval you create goes from L = 0.08 to U = 0.10. Consider the following 2 statements

S1: 36 of the sampled individuals plan to buy a car

S2: The margin of error for the confidence interval is 0.02

1.) S1 and S2 are both false statements

2.) S1 is a false statement while S2 is a true statement

3.) S1 is a true statement while S2 is a false statement

4.) S1 and S2 are both true statements

5.) We don’t have sufficient information to determine whether S1 and S2 are true or false statements

Explanation / Answer

here estimated proportion phat=(0.08+0.10)/2 =0.09

and margin of error E =(0.10-0.08)/2 =0.01

therefore expected indviidual who plan to buy car =np=400*0.09=36

therefore 3.) S1 is a true statement while S2 is a false statement

please revert for any clarification required,

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