Statisics
H0: p1 – p2 ≤ 0.05
HA: p1 – p2 > 0.05
Calculate the test statistic
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A certain financial services company uses surveys of adults age 18 and older to determine if...
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 800 adults showed 280 indicating that their financial security was more than fair. (a) State the hypotheses that can be used to test for a significant difference between the population...
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of...
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,470 1,440 Total Rooms 1,750 1,800 (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p1 = population proportion of...
The authors of a paper studied a random sample of 346 Twitter users. For each Twitter...
The authors of a paper studied a random sample of 346 Twitter users. For each Twitter user in the sample, the tweets sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent. Category Description IS Information sharing OC Opinions and complaints RT Random thoughts ME Me now (what I am doing now) O Other The accompanying table gives the observed counts...
A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those...
A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and 1996) and 59% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 Millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay...
Consider the following competing hypotheses and accompanying sample data. H0: p1 − p2 ≥ 0 HA:...
Consider the following competing hypotheses and accompanying sample data. H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 248 x2 = 266 n1 = 444 n2 = 444 a. At the 1% significance level, find the critical value(s). b. Calculate the value of the test statistic.
Birds use color to select and avoid certain types of food. The authors of a particular...
Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior of 1-day-old bobwhites. In an area painted white, they inserted four pins with different colored heads. The color of the pin chosen on the bird's first peck was noted for each of 35 bobwhites, resulting in the accompanying table. Color First Peck Frequency Blue 15 Green 9 Yellow 7 Red 4 Do these data provide evidence of a color...
Recent incidents of food contamination have caused great concern among consumers. An article reported that 33...
Recent incidents of food contamination have caused great concern
among consumers. An article reported that 33 of 80 randomly
selected Brand A brand chickens tested positively for either
campylobacter or salmonella (or both), the leading bacterial causes
of food-borne disease, whereas 69 of 80 Brand B brand chickens
tested positive.
(a)
Does it appear that the true proportion of non-contaminated
Brand A chickens differs from that for Brand B? Carry out a test of
hypotheses using a significance level 0.01....
1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2...
1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2 > 0 Here p1 is the population proportion of “happy” of Population 1 and p2 is the population proportion of “happy” of Population 2. Use the statistics data from a simple random sample of each of the two populations to complete the following:(10 marks) Population 1 Population 2 Sample Size (n) 1000 1000 Number of “yes” 600 280 a. Compute the test statistic z....
A study was done to investigate what people think is "creepy." Each person in a sample...
A study was done to investigate what people think is "creepy." Each person in a sample of women and a sample of men were asked to do the following. Imagine a close friend of yours whose judgment you trust. Now imagine that this friend tells you that she or he just met someone for the first time and tells you that the person was creepy. The people in the samples were then asked whether they thought the creepy person was...
A sample of 307 urban adult residents of a particular state revealed 64 who favored increasing...
A sample of 307 urban adult residents of a particular state revealed 64 who favored increasing the highway speed limit from 55 to 65 mph, whereas a sample of 179 rural residents yielded 76 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? (a) Test H0: p1 − p2 = 0 versus Ha: p1 − p2 ≠ 0 using α = 0.05, where p1 refers...
Recent incidents of food contamination have caused great concern
among consumers. An article reported that 33 of 80 randomly
selected Brand A brand chickens tested positively for either
campylobacter or salmonella (or both), the leading bacterial causes
of food-borne disease, whereas 69 of 80 Brand B brand chickens
tested positive.
(a)
Does it appear that the true proportion of non-contaminated
Brand A chickens differs from that for Brand B? Carry out a test of
hypotheses using a significance level 0.01....
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