Please tutor me by answering these statistic problems please. Thanks.

46. Furniture Land South surveyed 600 consumers and found that 414
were enthusiastic about a new home décor they plan to show in their
store in High Point, North Carolina. Construct the 99 percent
confidence interval for the population proportion.


53. You are to conduct a sample survey to determine the mean family
income in a rural area of central Florida. The question is, how many
families should be sampled? In a pilot sample of 10 families, the
standard deviation of the sample was $500. The sponsor of the survey
wants you to use the 95 percent confidence level. The estimate is to
be within $100. How many families should be interviewed?


17. Experience raising New Jersey Red chickens revealed the mean
weight of the chickens at five months is 4.35 pounds. The weights
follow the normal distribution. In an effort to increase their weight,
a special additive is added to the chicken feed. The subsequent
weights of a sample of five-month-old chickens were (in pounds):

4.41 4.37 4.33 4.35 4.30 4.39 4.36 4.38 4.40 4.39

At the .01 level, has the special additive increased the mean weight
of the chickens? Estimate the p-value.

21. The following hypotheses are given.

H0: pie is less than/equal to .70
H1: pie is greater than .70

A sample of 100 observations revealed that p =.75. At the .05
significance level, can the null hypothesis be rejected?
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?

25. Chicken Delight claims that 90 percent of its orders are delivered
within 10 minutes of the time the order is placed. A sample of 100
orders revealed that 82 were delivered within the promised time. At
the .10 significance level, can we conclude that less than 90 percent
of the orders are delivered in less than 10 minutes?


26. Research at the University of Toledo indicates that 50 percent of
the students change their major area of study after their first year
in a program. A random sample of 100 students in the College of
Business revealed that 48 had changed their major area of study after
their first year of the program. Has there been a significant decrease
in the proportion of students who change their major after the first
year in this program? Test at the .05 level of significance.