Question

Response rates to web surveys are typically low, partially due to users starting but not finishing...

Response rates to web surveys are typically low, partially due to users starting but not finishing the survey. The factors that influence response rates were investigated. A survey company designed a study to verify this information. Web users were directed to participate in one of several surveys with different formats. One format utilized a welcome screen with a white background and the other one with a blue background. Data of the survey are given in OnlineHW.xlsx. Use three digits whenever necessary.

white blue
completed 141 146
breakoff 49 37

1) The survey company assumes when a welcome screen with a blue background is used the rate of break off will be less than 0.25. Test the claim with a =0.

a. State the hypothesis

b. What is the decision rule?

c. Test statistic

d. Decision and managerial decision

e.Calculate the p-value

f. Interpret hypothesis using p-value

Homework Answers

Answer #1

The hypothesis being tested is:

H0: p = 0.25

Ha: p < 0.25

Reject Ho if p-value < 0.05.

p̂ = 37/(141 + 146 + 49 + 37) = 0.10

The test statistic, z = (p̂ - p)/√p(1-p)/n

z = (0.10 - 0.25)/√0.25(1-0.25)/373 = -6.73

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that a welcome screen with a blue background is used the rate of break off will be less than 0.25.

Please give me a thumbs-up if this helps you out. Thank you!

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