Citizens of a country were asked if they thought unemployment would increase, and $40\%$ thought that it

would increase. Later, they were asked again. At that time $219$ out of $620$ said that they thought

unemployment would increase. At the $10\%$ level, is there enough evidence to show that the proportion of

citizens who believe unemployment would increase is less than the proportion who felt it would increase in

the earlier survey?

State the hypotheses.

$H_0$:$p$

$H_a$:$p>v$

Calculate the test statistic. Round to four decimal places.

hat$(p)=|$

Calculate the standardized test statistic. Round to three decimal places.

$z=$

Find the p$-$value. Round to four decimal places.

$p-$value $=$

State your decision.

Since the p$-$value is less than $\mathrm{.}10,$ reject $H_0.$

Since the p$-$value is greater than $\mathrm{.}10,$ fail to reject $H_0.$

Since the p$-$value is greater than $\mathrm{.}10,$ reject $H_0.$

Since the p$-$value is less than $\mathrm{.}10,$ fail to reject $H_0.$