10. working students an education researcher claims that 57% of college

students work year-round. in a random sample of 300 college students, 171

say they work year-round. at a = 0.10, is there enough evidence to support

the researcher's claim?

Yes

Step-by-step explanation:

As per the given information,  we have to test the hypothesis:

, where p = Population proportion of college  students work year-round.

Since the alternative hypothesis is two-tailed , so test  is a two-tailed test.

In a random sample of 300 college students, 171  say they work year-round.

⇒ sample size : n= 300

⇒ sample proportion :

Test statistics :

P-value = 2P(Z>|z| = 2P(Z>|0|))

=2P(Z>0) = 2(1-P(Z<0))  [∵ P(Z>z)=1-P(Z<z)]

=2(1-0.50) [ By z-table]

=1.00

Decision : P-value(1.00) > Significance level (0.10) , it means we cannot reject the null hypothesis.

We conclude that there is enough evidence to support researcher's claim that 57% of college  students work year-round.

you already gave the answer

step-by-step explanation:

do you have an easier question cause this shh is hard like theheck

step-by-step explanation: