It is often said that more than one-fifth of all small businesses fail during the first year. Researchers from the University of Western Australia used data on 5,196 randomly-selected small business start-ups throughout Australia to test the hypothesis that the proportion of all small businesses that fail is in fact higher than 20%.What type of test is this?a. Left- Tailedb. Right- Tailedc. Two-Tailed

b. Right-Tailed

Step-by-step explanation:

This hypothesis test have a claim that the proportion of all small businesses that fail is higher than 20%. The alternative hypothesis is then written as:

If the sample outcome gives a test statistic that is higher than the critical value (z>z_c), it will fall in the rejection region and the null hypothesis, that states that the proportion is not different from 20%, will be rejected.

As the rejection region comprises all the values in the right tail, above the critical value, we can conclude this is a right-tailed test.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5