Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A consulting firm claimed that 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex. The claim was tested by taking a random sample of 60 online shoppers and assigning them each a different randomly selected e-commerce Web site to test. 45 reported sufficient frustration with their sites to deter making a purchase. The data was entered into STATISTIX and the following output was generated:

Hypothesis Test - One Proportion

Sample Size 60
Successes 45
Proportion 0.75000

Null Hypothesis: P = 0.65
Alternative Hyp: P > 0.65

Difference 0.10000
Standard Error 0.05590
Z (uncorrected) 1.62 P 0.0522

Method 95% Confidence Interval
Simple Asymptotic (0.64043, 0.85957)

Which of the following statements is correct if we are testing at α = 0.05?

a. There is sufficient evidence to indicate that more than 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
c. There is insufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
d. There is insufficient evidence to indicate that more than 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.

Sagot :

akiran007

Answer:

b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.

Step-by-step explanation:

Not significant,accept null hypothesis that population proportion = 0.65

When we accept the null hypothesis that P= 0.65

Then only option b is correct which states that  there is sufficient evidence to support that population proportion is exactly 0.65 .

1) We obtain a P - value of 0.0522 which is greater than 0.5 indicating that the null hypothesis is not rejected.

The rejection region for this right-tailed test is z > 1.64

2) Test Statistics

z= p`-p0/ sqrt(p0(1-p0)/n)

The z-statistic is computed as follows:

z= 0.75-0.65/ √(0.65*0.35)60

z= 1.624

3) Decision about the null hypothesis

Since it is observed that z = 1.624 is less than z ∝=1.64, it is then the null hypothesis is not rejected.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.