In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed. a) Determine the null and alternative hypotheses. Ho: P = Ha: p Select an answer ✓ b) Determine the test statistic. Round to two decimals. 2 = c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. (Put in the correct symbol and value)

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In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this
percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is
there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot
indicates that the population is normally distributed.
a) Determine the null and alternative hypotheses.
Ho: P
=
Ha:p Select an answer
b) Determine the test statistic. Round to two decimals.
z =
c) Find the p-value. Round to 4 decimals.
P-value =
d) Make a decision.
Reject the null hypothesis
O Fail to reject the null hypothesis
(Put in the correct symbol and value)
e) Write the conclusion.
O There is sufficient evidence to support the claim that the percentage of college students who work is
different than 71%.
There is not sufficient evidence to support the claim that the percentage of college students who
work is different than 71%.
Transcribed Image Text:In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed. a) Determine the null and alternative hypotheses. Ho: P = Ha:p Select an answer b) Determine the test statistic. Round to two decimals. z = c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. Reject the null hypothesis O Fail to reject the null hypothesis (Put in the correct symbol and value) e) Write the conclusion. O There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%. There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
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