A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.42. You believe that the proportion is actually greater than 0.42. The hypotheses for this test are Null Hypothesis: p ≤ 0.42, Alternative Hypothesis: p > 0.42. If you select a random sample of 25 people and 17 have a food allergy and/or sensitivity, what is your test statistic and pvalue?
Question 8 options:









Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is different from 0.79, a claim you would like to test. The hypotheses here are Null Hypothesis: p = 0.79, Alternative Hypothesis: p ≠ 0.79. If you take a random sample of players and calculate pvalue for your hypothesis test of 0.0037, what is the appropriate conclusion? Conclude at the 5% level of significance.
Question 9 options:









Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is greater than 0.51, a claim you would like to test. The hypotheses here are Null Hypothesis: p ≤ 0.51, Alternative Hypothesis: p > 0.51. If you take a random sample of players and calculate pvalue for your hypothesis test of 0.9482, what is the appropriate conclusion? Conclude at the 5% level of significance.
Question 10 options:









Solution8:
Hp:p<=0.42
Ha:p>0.42
p^=x/n=17/25=0.68
In ti 83 cal
go to
STAT>TESTS>1 PROP Z TEST\
z=2.6339
p=0.0042

olution9
Ho:p=0.79
Ha: p not =0.79
p=0.0037
p<0.05
reject Ho
5) 
The proportion of active MLB players that have an average higher than .300 is significantly different from 0.79. 
Solution10:
Ho:p<=0.51
Ha:p>0.51
p=0.9482
p>0.05
Fail to reject Ho.
5) 
We did not find enough evidence to say the proportion of active MLB players that have an average higher than .300 is larger than 0.51. 
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