The top question ask What are the null and alternative hypotheses? Assume that a

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The top question ask What are the null and alternative hypotheses?

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of pages from a dictionary is obtained. Listed below are the numbers of words defined on those pages. Given that this dictionary has 1459 pages with defined words, the claim that there are more than 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.10 level significance level to test this claim. What does the result suggest about the claim that there are more than 70,000 defined words in the dictionary? 55 47 79 70 54 63 45 43 63 91 Click the icon to view a table of critical t-values A, Ho: = 48.0 HI : 48.0 C. Ho: = 48.0 H1 : > 48.0 B. Ho: > 48.0 H1 : -48.0 D. H0: =48.0 H1 :

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 48
HA : > 48

Hypothesis test results:

Hence,

Hypotheses: Option C is correct.

Test statistic = 2.645

Critical value = 1.383

Reject; is sufficient

Option D is correct.

Variable Sample Mean Std. Err. DF T-Stat P-value Data 61 4.9148302 9 2.6450558 0.0133

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