In a recent Pew Research poll, adult men and women in the U.S. were asked to identify Egypt when is was highlighted on a

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In A Recent Pew Research Poll Adult Men And Women In The U S Were Asked To Identify Egypt When Is Was Highlighted On A 1 (81.5 KiB) Viewed 71 times

In a recent Pew Research poll, adult men and women in the U.S. were asked to identify Egypt when is was highlighted on a map of the Middle East. 285 out of 506 randomly selected men were able to identify Egypt, while 212 out of 500 randomly selected women were able to identify Egypt. Is this convincing evidence that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map? a) Write a pair of hypotheses O HO: PM-Pw = 0 [PM = Pw] Ha: PM - Pw > 0 [PM > Pw] O HO: PM - Đw = 0 [PM = Pw] Ha: ÔM - PW 0 [PM Pw] Ho: PM -Pw = 0 [PM = Pw] Ha: PM -Pw < 0 [PM <Pw] O Ho: PM-Pw = 0 [PM = Pw] Ha: PM -Pw 0 [PM # Pw] b) Calculate the standardized test statistic. (3 decimal places) z = c) Determine the p-value. (4 decimal places) p-value = d) What is your conclusion at a = 0.010? O Because the p-value is so small (p-value < 0.010) we reject Ho, there is strong evidence that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. Because the p-value is so small (p-value < 0.010) we fail to reject Ho, there is not enough evidence to say that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. Because the p-value is so large (p-value > 0.010) we fail to reject Ho, there is not enough evidence to say that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. Because the p-value is so small (p-value < 0.010) we reject Ho, there is not enough evidence to say that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. O Because the p-value is so large (p-value > 0.010) we reject Ho, there is strong evidence that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. Because the p-value is so large (p-value > 0.010) we fail to reject Ho, there strong evidence that there is a difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. e) Construct a 99% confidence interval for the difference between the proportion of all adult men in the US that can identify Egypt on a map and the proportion of all adult women in the US that can identify Egypt on a map. (4 decimal places)