91影视

Consider X_red= 49 and n_eed= 190.

The value of the break-off rate for the white welcome screen is,

$\begin{array}{l}{\underline{\underset{\_}{P}}}_{red}=\frac{x_{white}}{n_{white}}\\ =\frac{49}{190}\end{array}$

= 0.258

Consider x_red = 37 and n_red= 183.

The value of the break-off rate for the red welcome screen is,

$\begin{array}{l}{\underline{\underset{\_}{P}}}_{red}=\frac{x_{red}}{n_{red}}\\ =\frac{37}{183}\end{array}$

= 0.202

The value of the break-off rates shown in the table is verified.

Null hypothesis:

H₀ = P_white - P_red= 0

The real break-off rate for Internet users who see the red welcome display will be smaller than the actual break-off percentage for Internet users who see the white welcome display.

Alternative hypothesis:

H₀: W_hite-P_red > 0

The real break-off rate for Internet users who see the red welcome display will be smaller than the actual break-off percentage for Internet users who see the white welcome display.

MINITAB procedure:

Step 1: Choose Stat > Basic Statistics > 2 Proportions.

Step 2: Choose Summarized data.

Step 3: In the First sample, enter Trials as 190 and Events as 49.

Step 4 in the Second sample, enter Trials as 183 and Events as 37.

Step 5: Check Perform hypothesis test. In Hypothesized proportion, enter 0.

Step 6: Check Options, enter Confidence level as 90.0

Step 7: Choose greater than in alternative

Step 8: Click OK in all dialogue boxes

Test and CI for Two Proportions

Difference = p (1) - p (2)

Estimate for difference: 0.0557089

90% lower bound for difference: 0.0000130753

Test for difference = 0 (vs > 0) : z = 1.28 P-Value = 0.101

Fisher's exact test - P-Value 0.124

From the MINITAB output, the value of the test statistic is 128.

Finds the p-value by using MINITAB.

From the MINITAB output in step-4, the value is 0.101.

Rejection rule:

If p-value < 伪 . then reject the null hypothesis.

Conclusion:

Here, the p-value is greater than the level of significance.

That is p-value (-0,101) > 伪(-0,05)

Therefore, the null hypothesis is not rejected at 伪 = 0.05

It can be concluded that the actual break-off rate for Web users of the red welcome screen is hot lower than the corresponding true break-off rate for the white welcome screen.