Hypothesis, math homework help

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Hypothesis, math homework help

Q4. There are a number of highly touted search engines for finding things of interest on the internet. Recently, a consumer rating system ranked two search engines ahead of the others. Now, a computer user’s magazine wishes to make the final determination regarding which one is actually better at finding particular information. To do this, each search engine was used in an attempt to locate specific information using specified key words. Both search engines were subjected to the same 100 queries. Search engine 1 successfully located information 88 times and search engine 2 located the information 80 times. Using a significance level equal to 0.05, which of the following is true?

a. Based on the sample data, the null hypothesis of equal population proportions is rejected since the test statistic exceeds the critical value.

b. Based on the sample data, the null hypothesis should not be rejected since the test statistic of z = 2.04 exceeds the critical value of z = 1.96.

c. According to the test results, the null hypothesis should be rejected since the test statistic value z = 1.54 falls in the rejection region.

d. Based on the sample data, there is not sufficient evidence to conclude that a difference exists between the proportion of search hits since the test statistic, z = 1.54, does not fall in the rejection region.

Q5. The Russet Potato Company has been working on the development of a new potato seed that is hoped to be an improvement over the existing seed that is being used. Specifically, the company hopes that the new seed will result in less variability in individual potato length than the existing seed without reducing the mean length. To test whether this is the case, a sample of each seed is used to grow potatoes to maturity. The following information is given:

Old Seed New Seed

Number of Seeds = 11 Number of Seeds = 16

Average Length = 6.25 inches Average Length = 5.95 inches

Standard Deviation = 1.0 inches Standard Deviation = 0.80 inches

Based on these data, if the hypothesis test is conducted using a 0.05 level of significance, the calculated test statistic is:

a. F = 1.25.

b. F = 0.80.

c. F = 0.64.

d. F = 1.56