Are American men or women more into online dating? Researchers from a pop culture magazine conducted a study to see if there is a difference in the proportion of men and women under 30 that use online dating sites. They collected independent random samples of 96 women and 88 men, ranging from 18-30 years old, from across the US. Of the women, 67 reported using online dating sites, while 62 of the men reported using online dating sites. Assume the subjects responded honestly. What would be the test statistic and P-value for performing a hypothesis test H, : P1 = P2 vS. HA : P1 + P2 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Are American men or women more into online dating? Researchers from a pop culture magazine
conducted a study to see if there is a difference in the proportion of men and women under 30 that
use online dating sites. They collected independent random samples of 96 women and 88 men,
ranging from 18-30 years old, from across the US. Of the women, 67 reported using online dating
sites, while 62 of the men reported using online dating sites. Assume the subjects responded
honestly.
What would be the test statistic and P-value for performing a hypothesis test Ho : P1 = P2 vs.
HA : P1 + P2 ?
Select one:
O a. z =-0.098 ; P-value = 0.9204
O b. z =-1.13 ; P-value = 0.1292
O c. z =-3.77 ; P-value is approximately 0
O d. z =-0.098 ; P-value = 0.4602
O e. z =-1.13 ; P-value = 0.2594
Clear my choice
Transcribed Image Text:Are American men or women more into online dating? Researchers from a pop culture magazine conducted a study to see if there is a difference in the proportion of men and women under 30 that use online dating sites. They collected independent random samples of 96 women and 88 men, ranging from 18-30 years old, from across the US. Of the women, 67 reported using online dating sites, while 62 of the men reported using online dating sites. Assume the subjects responded honestly. What would be the test statistic and P-value for performing a hypothesis test Ho : P1 = P2 vs. HA : P1 + P2 ? Select one: O a. z =-0.098 ; P-value = 0.9204 O b. z =-1.13 ; P-value = 0.1292 O c. z =-3.77 ; P-value is approximately 0 O d. z =-0.098 ; P-value = 0.4602 O e. z =-1.13 ; P-value = 0.2594 Clear my choice
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