Testing of Hypothesis

What hypothesis states no equality or existence of differences, relationship, or effect?

• Null Hypothesis

• Alternative Hypothesis

• Statistical Hypothesis

• Random Hypothesis

A level of significance of 5% means:

• There's a 5% chance we're wrong

• There's a 5% chance to reject the true null hypothesis

• There's a 5% chance of failing to reject the true null hypothesis.

• There's a 5% chance you'll get an A on the test.

Which of the following shows a right-tailed test?

• H1: µ < 15

• H0: µ < 15

• H1: µ > 15

• H0: µ > 15

A Type I error is when:

• We obtain the wrong test statistic

• We reject the null hypothesis when it is actually true

• We fail to reject the null hypothesis when it's actually false

• We reject the alternate hypothesis when it's actually true

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using 1% level of significance

We conclude "Fail to reject H₀". What could we use as our interpretation?

• The proportion of babies born male is not 0.50.

• There is not enough evidence to say that the proportion of babies born male is different from 0.50.

• There is not enough evidence to say that the proportion of babies born male is 0.50.

Which of the following is not an option for an alternative hypothesis?

• Ha = k

• Ha > k

• Ha < k

• Ha ≠ k

What does it mean to say a test is two-tailed?

• Ha = k

• Ha > k

• Ha < k

• Ha ≠ k

A P-value indicates:

• the probability that the null hypothesis is true

• the probability that the alternative hypothesis is true

• probability of a Type I error

If the test is two-tailed, the critical region, with an area equal to α, will be on the left side of the mean.

• True

• False

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?

• H0 = 47, Ha > 47

• H0 = 47, Ha = 47

• H0 = 47, Ha < 47

• H0 = 47, Ha ≠ 47