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Compute the corresponding standaridized sample test statistic

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I am stuck on two parts. Compute the corresponding standaridized sample test statistic and What do the results

tell you.

A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.

(a) Can a normal distribution be used for the p̂ distribution? Explain. 

No, nq is greater than 5, but np is less than 5.

Yes, np and nq are both less than 5.

No, np is greater than 5, but nq is less than 5.

Yes, np and nq are both greater than 5.

No, np and nq are both less than 5.

(b) State the hypotheses. 

H0: p = 0.5; H1: p < 0.5

H0: p = 0.5; H1: p ≠ 0.5

H0: p = 0.5; H1: p > 0.5

H0: p < 0.5; H1: p = 0.5

(c) Compute p̂. 

Compute the corresponding standardized sample test statistic. (Round your answer to two decimal places.) 

(d) Find the P-value of the test statistic. (Round your answer to four decimal places.) 

(e) Do you reject or fail to reject H0?

 Explain. 

At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(f) What do the results tell you? 

The sample p̂ value based on 20 trials is sufficiently different from 0.50 to justify rejecting H0 for α = 0.05.

The sample p̂ value based on 20 trials is not sufficiently different from 0.50 to not reject H0 for α = 0.05.

The sample p̂ value based on 20 trials is sufficiently different from 0.50 to not reject H0 for α = 0.05.

The sample p̂ value based on 20 trials is not sufficiently different from 0.50 to justify rejecting H0 for α = 0.05.

 
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For example, the first data pair indicates that 34% of all fatal accidents of 17-year-olds

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I understand a and b. It is C-E that I am confused about.
style=”color:rgb(0,0,0);”>Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 34% of all fatal accidents of 17-year-olds are due to speeding.x17273747576777y342420121075Complete parts (a) through (e), given Σx = 329, Σy = 112, Σx2 = 18,263, Σy2 = 2450, Σxy = 3954, and r ≈ −0.965.
(a) Draw a scatter diagram displaying the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe’s website.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)Σx=Σy=Σx2=Σy2=Σxy=r=(c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)x= y= = +  x(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.


 
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)r2 =explained     %unexplained     %(f) Predict the percentage of all fatal accidents due to speeding for 55-year-olds. (Round your answer to two decimal places.) %

 
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Use a calculator for this exercise

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Use a calculator for this exercise.
style=”color:rgb(0,0,0);”>Suppose you decide to obtain a four-year lease for a car and negotiate a selling price of $36,500. The trade-in value of your old car is $3450. If you make a down payment of $1700, the money factor is 0.0027, and the residual value is $15,000, find each of the following. (Round your answers to the nearest cent.)(a) The net capitalized cost$  
(b) The average monthly finance charge$  
(c) The average monthly depreciation$  
(d) The monthly lease payment$ 

 
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An amount of $1700 is deposited

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An amount of $1700 is deposited

for 6 years in an account that earns 8% interest. (Round your answers to two decimal places.)

(a) Calculate the simple interest earned.

$  

(b) Calculate the interest earned if interest is compounded daily.

$  

(c) How much more interest is earned on the account when the interest is compounded daily?

$ 

 
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