ou are asked to perform a hypothesis test that population proportion is different from 0.35.  Which of the following is the correct statement of the null and alternative hypotheses for this test?   a H₀: π = 0.35 H₁: π ≠ 0.35 b H₀: π ≠ 0.35 H₁: π = 0.35 c H₀: π ≥ 0.35 H₁: π < 0.35 d H₀: π ≤ 0.35 H₁: π > 0.35

In the p-value approach to hypothesis testing, we reject the null hypothesis if O p-value > 0.05 O p-value 0.05 O p-value 0.05 O p-value < 0.05

the probability of reaching the wrong conclusion to 0.05 the probability of a Type II error equal to 0.05 the probability of reaching the correct conclusion equal to 0.05 the probability of a Type I error equal to 0.05 attached in ss below thanks

Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a constant using the least square method (OLS estimation). The estimated equation is y = 2.59 +5.19 x + e where e is the residual. The standard errors for the constant and the coefficient were 0.51 and 1.58 respectively. To test the null hypothesis of zero coefficient (for x) at a given significance level, we may use t-statistic. Compute the t-statistic for the coefficient. Make sure the answer is round up to the nearest hundredth. e.g. 3.015 --> 3.02