Question

1. Suppose that BC financial aid alots a textbook stipend by claiming that the average textbook at BC bookstore costs $$ 67.29. You want to test this claim.

Based on a sample of 130 textbooks at the store, you find an average of 66.69 and a standard deviation of 18.4.

The point estimate is: ___ (to 3 decimals)

The 95 % confidence interval (use z*) is: ___to ___ (to 3 decimals)

2. Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.

Based on a sample of 800 people, 76% owned cats

The p-value is: ____ (to 2 decimals)

Answer 1

Here, we have, n = 130 T = 66.69 o: 18.4 Hypothesis Ho: 4 = 67.29 Ho: 4 67.29 This is a two failed dest point estimate = 166.690) At 95% confidence interval, :12:0.025 de 10.9530.05 Z critical = 20.025 3 1.96 gov confidence interval for mean = a + Zerificar * = 66-69 * 1.96* 1834 3 66.69 + 3.16302 = 63.52698, 69.85302 - 163.527, 69.853 There is sufficient) evidence to support the claim that the average textbooks ar be book, 8 fore cost $67:29, AS HAB 67.29 lies within the confidence interval ($63.527 and 69.853) . Vigo

(2) Hers we have m - 800 076 Hawthris Ho: P = 0.80 Har PI 0.80 This is two failed test pest statistics 12. Tess 2. Ômp ✓ PLIEP 0.76-0.80 0.80.160. So 800 -[-2.83] Pralle at 3:1-2183] Paradise : 21P12) 2.83) =911-P12 & 2.83) :211- 0.997673) = 0.00465 - 10.00] Round to 2 decimal places Since, Pualue <a 10.05), hence, Reject the hell Hypothesis. Conclusion There is sufficient evidence to support the claim that the proportion of people who own car is different than 80%