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# Hypothesis Testing of Mean: P-value Method

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Kannon Camera has developed a new camera that it claims can take an average of more than 10 photographs per second. You decide to evaluate the company's claim. In this problem you are given:

In Part 1 of 5 you found that the kind of problem is; a hypothesis test of the population mean; with the population sigma known; requiring us to use the standard normal distribution; with a right tail test . In Part 2 of 5 you found that the null and alternative hypotheses are:

Null Hypothesis: Population Mean â?¤ 10

Alternative Hypothesis: Population Mean > 10

Finally, in Part 3 of 5 you found that the critical value = 1.28, and the test statistic = 3.85. In addition you correctly concluded that, because the test statistic is further out in the tail than the critical value, you could reject the null hypothesis and accept the alternative hypothesis at alpha = .10.

The 4th part is to use the test statistic to find the p-value of the test statistic; then interpret the p-value in terms of the given alpha; and, finally interpret the weight of evidence provided by the p-value against the null hypothesis and for the alternative hypothesis.

On the right, enter each of the asked for values or alternatives.

Test Statistic =
Round the test statistic to two decimal places.

p-Value =
Round the p-Value to four decimal places.

Interpreting the p-value in terms of the given alpha:

Because the p-value is; Larger than, Equal to, or smaller than?

alpha =

We can accept the null hypothesis and accept the alternative hypothesis?
We can accept the null hypothesis and reject the alternative hypothesis?
We can reject the null hypothesis and reject the alternative hypothesis?
We can reject the null hypothesis and accept the alternative hypothesis?

At alpha =

Interpreting the weight of evidence against the null hypothesis and in favor of the alternative hypothesis:

Because the p - value is : Larger than, Equal to, smaller than? Than ______?

the weight of evidence for rejecting the niull hypothesis and accepting the alternative hypothesis is:
Little to no, Some, Strong, Very Strong, Extremely Strong?

https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-of-mean-p-value-method-373234

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included.

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## Hypothesis Testing of Mean P-Value Method

Task: Use a P-value to test the claim about the population mean using the given sample statistics. State your decision for a=0.05. Claim: mean does not = 230; Sample statistics: x(bar) = 216.5, s=17.3, n=48.

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