ccording to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year's rate. ight out of 70 randomly chosen N. Y. City residents reply that they smoke. Conduct a hypothesis test at the 5% level to determine if the rate is still 14% or if it has decreased. lote: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that sumption, though.) O Part (a) O Part (b) ...... O Part (c) O Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) P'-N 0.1143 0.0415 O Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) O Part (f) What is the p-value? (Round your answer to four decimal places.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Construct a 95% confidence interval for the true mean or proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your
answers to four decimal places.)
95% C.I.
Transcribed Image Text:Construct a 95% confidence interval for the true mean or proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) 95% C.I.
According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year's rate.
Eight out of 70 randomly chosen N. Y. City residents reply that they smoke. Conduct a hypothesis test at the 5% level to determine if the rate is still 14% or if it has decreased.
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that
assumption, though.)
+ Part (a)
O Part (b)
Part (c)
O Part (d)
State the distribution to use for the test. (Round your answers to four decimal places.)
P' ~N
0.1143
0.0415
Part (e)
What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)
O Part (f)
What is the p-value? (Round your answer to four decimal places.)
Transcribed Image Text:According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year's rate. Eight out of 70 randomly chosen N. Y. City residents reply that they smoke. Conduct a hypothesis test at the 5% level to determine if the rate is still 14% or if it has decreased. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) O Part (b) Part (c) O Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) P' ~N 0.1143 0.0415 Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) O Part (f) What is the p-value? (Round your answer to four decimal places.)
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