Hello, can you please help me solve the below questions. Thank you very much!

1. Managers of a software development firm have established a wellness program during the lunch hour to enhance the physical and mental health of their employees. Now, they would like to see whether the wellness program has increased the proportion of employees who exercise regularly during the lunch hour. To make this assessment, the managers surveyed a random sample of 100 employees about their noon-time exercise habits before the wellness program was initiated. Later, after the program was initiated, another 100 employees were independently chosen and surveyed about their lunchtime exercise habits. The results of these two surveys are given in the file P09_14.xlsx.

a. Calculate a 95% confidence interval for the difference in the proportions of employees who exercise regularly during their lunch hour before and after the implementation of the corporate wellness program, that is, the after minus before difference. Round your answer to three decimal places, if necessary.

Lower Limit_______?

Upper Limit_______?

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2. A market research consultant hired by a leading soft-drink company wants to determine the proportion of consumers who favor its low-calorie drink over the leading competitor's low-calorie drink in a particular urban location. A random sample of 250 consumers from the market under investigation is provided in the file P08_17.xlsx.

a. Calculate a 95% confidence interval for the proportion of all consumers in this market who prefer this company's drink over the competitor's. Round your answers to three decimal places, if necessary.

Lower Limit
Upper Limit

What does this confidence interval tell us? Round your answers to one decimal place, if necessary.

We are ______% confident that between ______% and _________% of all consumers in this market prefer this company's drink over the competitor's.

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3. A group of 25 husbands and wives were chosen randomly. Each person was asked to indicate the most he or she would be willing to pay for a new car (assuming each had decided to buy a new car). The results are shown in the file P09_65.xlsx. Can you accept the alternative hypothesis that the husbands are willing to spend more, on average, than the wives at the 5% significance level?

What is the associated p-value? Round your answer to three decimal places, if necessary.

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