NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) Construct a 95% confidence interval for the population proportion who claim they always buckle up. () State the confidence interval. (Round your answers to four decimal places.) (i) Sketch the graph. C.L. = O %3D

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I have a difficult time solving these kinds of problems so if can you please explain step by step what to do it would help me grasp the concept better.

Suppose that insurance companies did a survey. They randomly surveyed 410 drivers and found that 350 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.
NOTE: If you are using
Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
O Part (a)
O Part (b)
O Part (c)
O Part (d)
Construct a 95% confidence interval for the population proportion who claim they always buckle up.
(i) State the confidence interval. (Round your answers to four decimal places.)
(ii) Sketch the graph.
C.L. =
2
P'
(iii) Calculate the error bound. (Round your answer to four decimal places.)
Transcribed Image Text:Suppose that insurance companies did a survey. They randomly surveyed 410 drivers and found that 350 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up. NOTE: If you are using Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) Construct a 95% confidence interval for the population proportion who claim they always buckle up. (i) State the confidence interval. (Round your answers to four decimal places.) (ii) Sketch the graph. C.L. = 2 P' (iii) Calculate the error bound. (Round your answer to four decimal places.)
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