880 randomly chosen people surveyed. 493 of them admitted to chewing gum. If we use a signifagant level of 0.01, can we conclude that a majority of people chew gum?

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- May 4th 2009, 04:15 PMmherrsignificance level
880 randomly chosen people surveyed. 493 of them admitted to chewing gum. If we use a signifagant level of 0.01, can we conclude that a majority of people chew gum?

- May 4th 2009, 10:40 PMmatheagle
test $\displaystyle H_0:p=.5$ vs. $\displaystyle H_a:p>.5$

$\displaystyle \hat p=493/880$ the test statistic is $\displaystyle {\hat p -.5\over \sqrt{(.5)(.5)\over 880}}$

the rejection region is $\displaystyle Z>Z_{\alpha}$ - May 4th 2009, 11:30 PMmherr
- May 5th 2009, 04:58 AMmr fantastic
- May 5th 2009, 05:10 AMplm2e
z.99 = 2.33