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Consider the following hypothesis test:

 

 

A sample of 45 provided a sample mean of 19.6. The population standard deviation is 1.6.

a. Compute the value of the test statistic (to 2 decimals).

b. What is the p-value (to 3 decimals)?

c. Using , what is the critical value for the test statistic?

  

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Sumant
SumantLv10
6 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Consider the following hypothesis test:

 A sample of 500 provided a sample mean of 14.15. The population standard deviation is 3.

a. Compute the value of the test statistic.

b. What is the p-value?

c. At a=.05, what is your conclusion?

Consider the following hypothesis test:

 

A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6.
a. Compute the value of the test statistic.
b. What is the p-value?
c. At α = .01, what is your conclusion?
d. What is the rejection rule using the critical value? What is your conclusion?

(1 point) A random sample of 130 observations is selected from a binomial population with unknown probability of success p. The computer value of is 0.64.

    (1) Test : : p = 0.65 against : p > 0.65. Use α= 0.05.

test statistic z =

critical z score

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⭕ A. We can reject the null hypothesis that p = 0.65 and accept that p is > 0.65.

⭕ B. There is not sufficient evidence to reject the null hypothesis that p = 0.65.

    (2) Test : p = 0.5 against :p < 0.65. Use α = 0.01.

test statistic z =

critical z score

The final conclusion is 

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⭕ B. There is not sufficient evidence to reject the null hypothesis that p = 0.5.

   (3) Test : p = 0.55 against : p ≠ 0.55. Use α = 0.01.

test statistic z =

positive critical z score

 

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