A famous perfumery house based in the US, Gollum's, recently developed a new scent for women. While conducting market studies, the sales department at Gollum's is interested to test whether there is a difference in the proportions of young women P1 (Population 1, under 40 years old) and older women P2 (Population 2, at least 40 years old) who would purchase the MyPrecious fragrance. A random sample of 100 young women revealed 20 liked the MyPrecious fragrance well enough to purchase it. Similarly, a sample of 200 older women revealed 100 liked the fragrance too, well enough to make a purchase. Use a 0.05 level of significance. Which of the following statements is/are true? I. The computed value of the test statistic is -3.4582 II. There is sufficient evidence to reject Ho and conclude in favor of Ha P - P #G

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A famous perfumery house based in the US, Gollum's, recently developed a new
scent for women. While conducting market studies, the sales department at Gollum's
is interested to test whether there is a difference in the proportions of young women
P1 (Population 1, under 40 years old) and older women P2 (Population 2, at least 40
years old) who would purchase the MyPrecious fragrance. A random sample of 100
young women revealed 20 liked the MyPrecious fragrance well enough to purchase
it. Similarly, a sample of 200 older women revealed 100 liked the fragrance too, well
enough to make a purchase. Use a 0.05 level of significance.
Which of the following statements is/are true?
I. The computed value of the test statistic is -3.4582
II. There is sufficient evidence to reject Ho and conclude in favor of Ha P1 - P 0
O Il only
O l only
O Neither I nor II
O Both I and II
Transcribed Image Text:A famous perfumery house based in the US, Gollum's, recently developed a new scent for women. While conducting market studies, the sales department at Gollum's is interested to test whether there is a difference in the proportions of young women P1 (Population 1, under 40 years old) and older women P2 (Population 2, at least 40 years old) who would purchase the MyPrecious fragrance. A random sample of 100 young women revealed 20 liked the MyPrecious fragrance well enough to purchase it. Similarly, a sample of 200 older women revealed 100 liked the fragrance too, well enough to make a purchase. Use a 0.05 level of significance. Which of the following statements is/are true? I. The computed value of the test statistic is -3.4582 II. There is sufficient evidence to reject Ho and conclude in favor of Ha P1 - P 0 O Il only O l only O Neither I nor II O Both I and II
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