Nationally, the distribution of weapons use in robberies is as shown in the tabl

Question

Nationally, the distribution of weapons use in robberies is as shown in the table. The following data represent the weapon of choice in 1652 robberies on school property. Does the distribution of weapon choice in robberies in schools follow the national distribution? Use alpha = 0.01 significance level. Please answer: 1. State the null and alternative hypotheses 2. Find the test statistic 3. Find the p-value 4. State a conclusion Is Father's height useful in predicting son's height? The following table presents a sample of 16 pairs, with height measured in inches. 1. Computer the least-squares regression line for predicting son's height (y) from father's height (x). 2. Construct a 95% confidence interval for the slope. 3. Test H_0: beta_1 = 0 versus H_1: beta_1 notequalto 0. 4. Can you conclude that father's height is useful in predicting son's height? Use alpha = 0.05 level of significance.

Explanation / Answer

1)

1)

null - follow national distribution

alternate - does not follow national distribution

2)

TS= 511.475417

3)

df= r-1 = 3

p-value = P(X^2 >511.475417) = 0.000

4) since p-value < 0.01

we reject the null

Oi Ei (Oi-Ei)^2/Ei 0.42 329 693.84 191.8428249 0.09 122 148.68 4.787613667 0.4 857 660.8 58.25429782 0.09 344 148.68 256.5906807 1 1652 1652 511.475417

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