Question

Suppose you made a 98% Confidence interval for a population mean and got:

(7.2, 12.5)

If we were to do a hypothesis test to see if there was evidence that the population mean was different from 14. What would we know about the p-value?

Impossible to tell

It will be less than .001

It will be less than .02

It will be greater than .02

Answer 1

TOPIC:Testing of hypothesis.

The answer is @ It will be less than 0.02 M EXPLANATION - Here, ce confidence Level 298%. z) 100(-4). = 98Y. 2) { X= 0.02 = level of significance. Now, the gov. CI of the population meanſ is given as (7.2, 12:57 =) To test where whether there was evidence that the population mean was different from 14. 90 the required yoll and alternative hypotheses would be Ho se = 14 vs. Hein € 141 Now, observe does not include mean (alo = 14). at x=0.02 , that, the 98% CI of 'ne', that the null hypothesized Thus, we can reject to I Now, we know, so is rejected at level d'; if p-value ca] and so is not rejected at level a'; if p-value Tisza, Hene, . jlo is rejected ; at x = 0.02. The p-value should be less than 0.02. (By no nule sis)

ANSWER: Option-c: It will be less than .02.