Calvin thinks a certain potato chip maker is putting fewer chips in their regular bags of chips. From a random sample of 23 bags of potato chips he calculated a P value of 0.061 for the sample. (a) At a 5% level of significance, is there evidence that Calvin is correct? (Type: Yes or No): (b) At a 10% level of significance, is there evidence that he is correct? (Type: Yes or No): (c) In a statistical test of hypotheses, we say that the data are statistically significant at level a if OA. the P-value is less than a OB. the P-value is larger than a OC. a= 0.05 D. a is small. E

Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05.   (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2    H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large.    The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…

Males and females were asked what they would do if they received a $100 bill in the mail that was addressed to their neighbor, but had been incorrectly delivered to them. Of the 70 males sampled, 55 said yes they would return it to their neighbor. Of the 130 females sampled, 120 said yes. The overall question is: Is this sufficient evidence to say that the two true proportions are different? Assume that the p-value turns out to be .027 (again not the correct p-value for this situation but use it to answer this question). What is your decision on this hypothesis test using a 5% level of significance? O Fail to reject the null hypothesis Reject the null hypothesis

A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of n, = 86 urban residents showed that r, = 14 subscribed, and a random sample of n, = 97 suburban residents showed that r = 20 subscribed. Does this indicate that a higher proportion of suburban residents subscribe to Sporting News? Use a 5% level of significance. What are we testing in this problem? O difference of means O difference of proportions O paired difference O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P1 P2 O Ho: P1 = P2i H1: P1 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005

The manufacturer of a popular soft drink claims that cans of this drink contain 12 ounces.  A consumer group is suspicious of this claim and believes the amount in each can is less than 12 ounces.  A random sample of 18 cans is selected and the amount in each can is measured.  The results are as follows: 11.9     11.9     12.0     11.9     12.0     11.7     11.6     11.5     11.6    12.0     11.8     11.7     12.2     11.5     12.1     11.8     12.1     11.8 Calculate the sample standard deviation s. Round its value to two decimal places.____________

Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 215 women, r1 = 63 responded yes. Another random sample of n2 = 185 men showed that r2 = 49 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05.

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