# In a survey of 500 women, 120 said that Valentine’s Day was their favorite occasion to receive flowers. Construct an 88% confidence interval for the proportion of all women who feel that Valentine’s Day is their favorite occasion to receive flowers.

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In a survey of 500 women, 120 said that Valentine’s Day was their favorite occasion to receive flowers. Construct an 88% confidence interval for the proportion of all women who feel that Valentine’s Day is their favorite occasion to receive flowers.

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Step 1

Step-by-step procedure to obtain the value of z using MINITAB:

• Choose Graph > Probability Distribution Plot choose View Probability > OK.
• From Distribution, choose ‘Normal’ distribution.
• Choose Probability and Both Tail for the region of the curve to shade.
• Enter the Probability value as 12.
• Click OK.

Output using the MINITAB software is given below:

Step 2

From the output, the value of z is 1.555 for 88% confidence.

The value of sample proportion is,

Step 3

The 88% confidence interval for the proportion of all women who feel that Valentine&rs...

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MathStatistics