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Mathematics, 02.04.2021 17:30 alexacarillo

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.

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