Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.3 % . To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 454 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 21 report now being married. Does this evidence support Annie's claim, at the 0.10 level of significance, that the chances of getting married for this group is greater than 3.3 % ? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :p = 0.033 Ha :P. 0.033

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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2- Compute the value of the test statistic. Round your answer to two decimal places.

3- Draw a conclusion and interpret the decision.

Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of
marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.3 % . To demonstrate that this percentage is too small, Annie uses her
resources at the Baltimore Sun to conduct a simple random sample of 454 never-previously-wed, university-educated, American women who were single at the beginning
of their 40s and who are now 45. Of these women, 21 report now being married. Does this evidence support Annie's claim, at the 0.10 level of significance, that the
chances of getting married for this group is greater than 3.3 % ?
Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.
Ho :p = 0.033
Ha :P.
0.033
Transcribed Image Text:Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.3 % . To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 454 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 21 report now being married. Does this evidence support Annie's claim, at the 0.10 level of significance, that the chances of getting married for this group is greater than 3.3 % ? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :p = 0.033 Ha :P. 0.033
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