Question

(1585) Spg 2019 (2192) Time Remaining 1:0818 Quiz 6 Chapters &, n | 4 of 8 Arcent study at a loca aliegt damed hat the proportion, p of students who connmute more than fifteen miles to school is no more than 25% if a random sample of 265 students at this college is selected, and it is found that: 71 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance? Perform a one-tailed test. Then fll in the table below Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas-) The nul hypothesus: The value of the test statistic: (Round to at least three decimal The critical value at the O.1 level of significance decimal places.) Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than 25% Yes No

Where it says “the type of test statistic , chose one) the options are Z, t , Chi square , F”

Answer 1

Null
Ho: p <= 0.25
Alternate
H1: p > 0.25
type of statistic
Z

TS = (p^ - p)/sqrt(pq/n)
=(71/265 - 0.25)/sqrt(0.25*0.75/265)
=0.67386

critical value = 1.282

since TS < critical
we fail to reject the null

No