A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually less than the reported percentage. A random sample of 160 found that 60% of the readers owned a laptop. Is there sufficient evidence at the 0.02 level to support the executive's claim?

A hospital director is told that 55% of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is less than the expected percentage. A sample of 240 patients found that 120 were insured. At the 0.05 level, is there enough evidence to support the director's claim?

Assume you barrow $100,000 for a year and the stated interest rate is 5 percent. The loan will be st up as an installment loan with monthly payment. 1) What is the annual percentage rate? 2) Discuss why the annual percentage rate is different then the stated interest rate.

Which of the following statements concerning the nondiscrimination requirements of profit-sharing and stock bonus 401(k) plans is correct? ​​​ (A) The actual deferral percentage of the highly-paid employees may not exceed 100% of that of the nonhighly-paid. (B) The actual deferral percentage of the highly-paid employees may not be more than 200% of that of the nonhighly-paid, and the difference between the two percentages may not exceed 2%. (C) The use of a safe-harbor provision is prohibited. (D) In addition to the ADP test, the plans must satisfy both the ratio percentage test and the average benefit test.

A genetic experiment with peas resulted in one sample of offspring that consisted of 442 green peas and 171 yellow peas. a. Construct a 95​% confidence interval to estimate of the percentage of yellow peas. b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations? a. Construct a 95​% confidence interval. Express the percentages in decimal form. nothingless thanpless than nothing ​(Round to three decimal places as​ needed.) b. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

3) A bond has four years to maturity, an 8% annual coupon and a par value of $100. The bond pays a continuously compounded interest of 5%.

a. What would the actual percentage change in the price of the bond be if the interest rate goes up from 5% to 6%?

b. What would be the percentage change in the price of the bond implied by the duration approximation?

c. What would be the percentage change in the price of the bond implied by the duration plus convexity approximation?

d. Why does adding the convexity term to the approximation improve it?

(PLEASE EXPLAIN THE CALCULATION)

1. The frequency of two alleles in a gene pool is 0.19 (A) and 0.81(a). Assume that the population is in Hardy-Weinberg equilibrium.

(a) Calculate the percentage of heterozygous individuals in the population.

(b) Calculate the percentage of homozygous recessives in the population.

2. An allele W, for white wool, is dominant over allele w, for black wool. In a sample of 900 sheep, 891 are white and 9 are black. Calculate the allelic frequencies within this population, assuming that the population is in H-W equilibrium.

3. In a population that is in Hardy-Weinberg equilibrium, the frequency of the recessive homozygote genotype of a certain trait is 0.09. Calculate the percentage of individuals homozygous for the dominant allele.

. During a recent track meet, the average time for all people who ran the 100-meter dash was 11.4 seconds with a standard deviation of 0.6 seconds. Assuming the times were approximately normally distributed:

a. What percentage of runners finished in less than 10.5 seconds?

b. What percentage of runners finished in greater than 12 seconds?

c. If a runner wanted to be in the top (fastest) 20% of times, what time would she or he need to beat?

d. What percentage of runners finished between 10.5 and 12 seconds?

The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.08degreesF and a standard deviation of 0.61degreesF. Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the​ mean, or between 96.25degreesF and 99.91degrees​F? b. What is the approximate percentage of healthy adults with body temperatures between 96.86degreesF and 99.30degrees​F? a. Approximately nothing​% of healthy adults in this group have body temperatures within 3 standard deviations of the​ mean, or between 96.25degreesF and 99.91degreesF.

1. The average score and standard deviation of a kinesiology test were; Mean: 80 Std Dev: 4
   1. What percentage of scores on the test were below 76? Show your calculations. 3 points
   2. What percentage of scores on the test were above 83? Show your calculations. 3 points
   3. What percentage of scores on the test were between 76 and 83? Show your calculations. 1 point
   4. What score on the test did a student earn if that student was at the 25^th percentile on that test? Show your calculations. 3 points