In April of 2011, the unemployment rate in Canada was reported to be 7.7%. Suppose that Statistics Canada claims that the current unemployment rate is lower than that of April 2011. Suppose a test was conducted on current unemployment and a random sample size of 1200 found an unemployment rate at 6.5%. Test an appropriate hypothesis and state your conclusion. Use a significance level of 10.0%. (a) What are the null and alternative hypotheses? Ho: p ✪ 0.077 HA: P Ca C 0.077 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, reject ✿ the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In April of 2011, the unemployment rate in Canada was reported to be 7.7%. Suppose that Statistics Canada
claims that the current unemployment rate is lower than that of April 2011. Suppose a test was conducted on
current unemployment and a random sample size of 1200 found an unemployment rate at 6.5%. Test an
appropriate hypothesis and state your conclusion. Use a significance level of 10.0%.
(a) What are the null and alternative hypotheses?
Ho: P
0.077 #
HA: P
0.077
(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)
(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)
(d) Based on the p-value, reject
CS Scanned with CamScanner
the null hypothesis.
Transcribed Image Text:In April of 2011, the unemployment rate in Canada was reported to be 7.7%. Suppose that Statistics Canada claims that the current unemployment rate is lower than that of April 2011. Suppose a test was conducted on current unemployment and a random sample size of 1200 found an unemployment rate at 6.5%. Test an appropriate hypothesis and state your conclusion. Use a significance level of 10.0%. (a) What are the null and alternative hypotheses? Ho: P 0.077 # HA: P 0.077 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, reject CS Scanned with CamScanner the null hypothesis.
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