Please help...failing thisclass is not an option and I\'ve read and read until I

Question

Please help...failing thisclass is not an option and I've read and read until I'm blue in theface.

4a) A group ofstatistics students believed that more than 50% of the LSU studentpopulation has 1 or 2 credit cards. After collecting data,the group found that 18 out of 31 LSU students in their sample have1 or 2 credit cards. Does the group have sufficient evidenceto believe that more than 50% of all LSU students have 1 or 2credit cards? Perform a hypothesis test with =.10.

Step 1: H0:__________     H1:___________

Step 2: =____________

Step 3: Calculatedtest statistic:______________

Step 4a: Criticalvalue(s) and region(s):____________

Step 4b: p-value:_____________________

Step 5: Compare thecritical value with the test statistic and state the decisionrule.

Conclusion regardingH0:____________________

Step 6: Conclusionin words:_________________________

Explanation / Answer

Agroup of statistics student believed that more than 50% of LSUstudent population has 1 or 2 credit cards. After collectingdata, the group found that 18 out of 31 MSU students in theirsample have 1 or 2 credit cards. Does the group havesufficient evidence to believe that more than 50% of all LSUstudents have 1 or 2 credit cards? Perform a hypothesis testwith =.10.

Step1: H0:______p>.5___________            H1:______p<.5____________

Step2: =______.1____________

Step3: Calculated test statistic:_____________.897__________________________________

Step4a: Critical value(s) andregion(s):________Z>1.28___________________________

Step4b: p-value:___________.8159_____________________________

Step5: Compare the critical value with the test statistic andstate the decision rule.

Conclusion regarding H0:_since test statisticdoesn’t lie in the critical region so we can accept the nullhypothesis ___________________________

Step6: Conclusion in words:____ the group has sufficient evidenceto believe that more than 50% of all LSU students have 1 or 2credit cards _________________________

4b): Use the same data from above, create a 90% confidenceinterval to estimate the percentage of all LSU students who have 1or 2 credit cards. Set up the formula with the nubmers in it,but you may use the calculator to finish it.

Confidence interval setup:____ p ± z p, p =(p(1-p)/n)___________________________

Confidence Interval:________ .5806 ±.11392_____________________

Anycalculator commands used:______z was calculated usingtables_______________________

4c): Interpret your confidence interval from above:

Youare 90% confident that....

The percentage of LSU student having 1 or 2 credit cards isbetween .5806 ± .11392

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