Question

A simple random sample of conference attendees evaluated the conference as follows: Very useful Useful Of little use Not useful Male 150 240 98 65 Female 140 298 102 64 When testing to see if conference evaluation is independent of gender, a) State the null and alternate hypotheses and identify the claim b) Identify the type of test statistic and give its value c) Use the p-value to state the conclusion in response to the claim d) Describe a type I error in context e) Show how to find the expected frequency for the cell Female and Very Useful

Answer 1

A) Null hypothesis ( H0) : conference evaluation is independent of Gender,

Alternative hypothesis (H1) : Conference evaluation is depends on Gender.

B) Test statistics is = 4.446

(Obs freq – Expectedfreq)?/ Expectedfeq)

C) P-value is 0.2171. Which is > 0.05 So We accept null hypothesis that Conference Evaluation is independent of Gender.

D) Type I error is reject h0 even it is actual true here it will be We Reject Claim that Conference Evaluation is independent of Gender based on our obs (Data) even actual it dependt on Gender.

E) Expected frequncy for Very Useful and Female is calculated as (F+V)/N

Where F is Female row total i.e (140+298+102+64)=604

V is very useful  colums total i.e (140+150)=290

And N is grand total i.e sum of all obs 150+240+.....102+64

Expected Freq=(604+290) / 1157 = 894/1157 =