In: Statistics and Probability
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 table. Use three digits whenever necessary.
white screen | blue screen | |
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 =0.07.
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
1) total number of web users 37+146=183
Please follow the following steps to conduct the hypothesis.
a)
b) Reject the null hypothesis if Z statistic is < -1.48
c) Z = -1.494
d) Reject the null hypothesis,
e) P-value = 0.0676
f) Since P-value is less than the significance level 0.07, we will reject the null hypothesis.