Do you use the same password for all your social networking sites?” A recent survey in the USA found that 32 % of social network users use the same password for all their social networking sites. a. A similar study will be conducted in Turkey and the same question will be asked to a random sample of people from among the social network users. It is desired to estimate this proportion with 90% confidence with a margin of error at most 0.03. How many people should be sampled to achieve this? b. Now suppose a random sample of 340 social network users in Turkey were asked this question and 136 of them said yes. Find a 90% confidence interval for the proportion of Turkish social network users who use the same password everywhere.
“Do you use the same password for all your social networking sites?” A recent survey in the USA found that 32 % of social network users use the same password for all their social networking sites.
a. A similar study will be conducted in Turkey and the same question will be asked to a random sample of people from among the social network users. It is desired to estimate this proportion with 90% confidence with a margin of error at most 0.03. How many people should be sampled to achieve this?
b. Now suppose a random sample of 340 social network users in Turkey were asked this question and 136 of them said yes. Find a 90% confidence interval for the proportion of Turkish social network users who use the same password everywhere.
c. Can we say that the percentage in Turkey is more than the percentage in the USA? Use 1% level of significance to test.
d. Calculate the P-value for the test statistic in part (c).
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