Question

You wish to test the following claim at a significance level of α=0.05α=0.05.

You wish to test the following claim at a significance level of a = 0.05. Ho:P = 0.68 H1:P < 0.68 You obtain a sample of size n = 418 in which there are 258 successful observations What is the critical value for this test? (Report answer accurate to 2 decim al places.) What is the test statistic for this sample? (Report answer accurate to 3 decim al places.) Questions Q 1 (0/1) Q2 (0/1) Q3 (0/3) Q4 (0/3) Q5 (0/5) Q6 (0/5) Q7 (0/2) Q8 (0/1) Q 9 (0/2) Q 10 (0/1) Q 11 (0/4) Q 12 (0/4) Q 13 (0/4) Q 14 (0/4) Q 15 (0/4) Q 16 (0/4) Q 17 (0/4) Q18 (0/4) Q 19 (0/6) ► Q 20 (0/4) Q21 (0/2) The test statistic is in the critical region not in the critical region This test statistic leads to a decision to Oreject the null accept the null fail to reject the null Grade: 0/68 Print Version As such, the final conclusion is that Othere is sufficient evidence to conclude that the population proportion is less than 0.68 Othere is not sufficient evidence to conclude that the population proportion is less than 0.68. Othere is sufficient evidence to conclude that the population proportion is equal to 0.68. Othere is not sufficient evidence to conclude that the population proportion is equal to 0.68.

Answer 1

Critical value = 1.65

= x / n = 258 / 418 = 0.6172

р

Test statistic = z

=
р
- P₀ / [$\sqrt$P_{0 *} (1 - P₀ ) / n]

= 0.6172 - 0.68 / [$\sqrt$(0.68 * 0.32) / 418]

= -2.751

In the critical region

Reject the null hypothesis .

There is sufficient evidence to conclude that p is less than 0.68