Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.65
Alternative Hypothesis, Ha: p > 0.65
The type of test statistic si single proportion z test
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.7185 - 0.65)/sqrt(0.65*(1-0.65)/270)
z = 2.36
P-value Approach
P-value = 0.0091
As P-value < 0.1, reject the null hypothesis.
Yes, we can reject the claim
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to...
A presidential candidate's alde estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 65%. If 188 out of a random sample of 260 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in...
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A recent study at a local college claimed that the proportion, p. of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 255 students at this college is selected, and it is found that 53 commute more than fifteen miles to school, can we reject the college's claim at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at...
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 275 students at this college is selected, and it is found that 55 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below Carry your intermediate computations to at...
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 25%. If a random sample of 275 students at this college is selected, and it is found that 87 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below Carry your intermediate computations to at...
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 20%. If a random sample of 270 students at this college is selected, and it is found that 71 commute more than fifteen miles to school, can we reject the college's daim at the 0.01 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at...
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A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce is at least 80%. In a random sample of 245 married couples who completed her program, 183 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places...