In the past, Dumont Clothing Store had 72% charge purchases and 28% cash purchases. A representative...

In the past, Dumont Clothing Store had 72% charge purchases and 28% cash purchases. A representative sample of 200 recent purchases shows that 160 were charge purchases. Does this suggest a statistically significant change in the paying practices of Dumont customers?

1-Hypothesis test for one population mean (unknown population standard deviation)

2-Confidence interval estimate for one population mean (unknown population standard deviation)

3-Hypothesis test for population mean from paired differences

4-Confidence interval estimate for population mean from paired differences

5-Hypothesis test for difference in population means from two independent samples

6-Confidence interval estimate for difference in population means from two independent samples

7-Hypothesis test for one population proportion

8-Confidence interval estimate for one population proportion

9-Hypothesis test for difference between two population proportions

10-Confidence interval estimate for difference between two population proportions

Solutions

Expert Solution

7-Hypothesis test for one population proportion

(bellow is test details):

null Hypothesis: Ho: p	=	0.720
alternate Hypothesis: Ha: p	≠	0.720

for 0.05 level with two tailed test , critical z=		1.9600
Decision rule : reject Ho if absolute value of test statistic \|z\|>1.96

sample success x =	160
sample size n =	200
std error se =√(p*(1-p)/n) =	0.0317
sample proportion p̂ = x/n=	0.8000

test stat z =(p̂-p)/√(p(1-p)/n)=	2.52

since test statistic falls in rejection region we reject null hypothesis
we have sufficient evidence to conclude that,there is a statistically significant change in the paying practices of Dumont customers

orchestra answered 1 year ago

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