A person can pay $14 for a membership to the history museum and then go to the museum

An automobile owner found that 20 years ago, 72% of Americans said that they would prefer to purchase an American automobile. He

LenaWriter [7]

Answer:

$z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395$

Now we can find the p value taking incount that we are using a bilateral test

$p_v =2*P(z>2.395)=0.01662$

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct

Step-by-step explanation:

Information given

n=43 represent the random sample taken

X=38 represent the Americans who they would prefer an American automobile

$\hat p=\frac{38}{43}=0.884$ estimated proportion of Americans that they would prefer an American automobile

$p_o=0.72$ is the value that we want to check

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the percentage of Americans that they would prefer an American automobile today differs from 72%, then the system of hypothesis are:

Null hypothesis: $p=0.72$

Alternative hypothesis: $p \neq 0.72$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395$

Now we can find the p value taking incount that we are using a bilateral test

$p_v =2*P(z>2.395)=0.01662$

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct

5 0

3 years ago

How did convenience store there is a 25% chance as customer enters the store within one minute of closing time describe the comp

valentinak56 [21]

The complementary is not entering the store one minute before closing.

The probability of not entering the store one minute before closing is 75%

7 0

3 years ago

Read 2 more answers

one number has 4 thousands, 12 hundreds, and 0 tens. Another number has 4 thousands, 6 hundreds, and 5 tens. Which choice correc

IRISSAK [1]

You will use this information to create the numerical (standard form) value of each.

4 thousands, 12 hundreds (1 thousand and 2 hundred) = 5200
4 thousands, 6 hundreds, 5 tens = 4650

5200 is greater than 4650.

4 0

3 years ago

18. the distance that a object covered in time was measured and recorded in the table below.

Leno4ka [110]

Answer: False

================================================

Explanation:

x = time in seconds

y = distance in meters

Pick any two rows to compute the ratio y/x

Row 1: y/x = 4.0/1 = 4
Row 2: y/x = 5.5/2 = 2.75

We get different results, so this is enough to show y isn't directly proportional to x.

7 0

3 years ago

Read 2 more answers

Kalista is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress.

sukhopar [10]

Answer:

$9.98

Step-by-step explanation:

The first step is to calculate the total fabric that Calista has

= 2 1/2 + 1 3/4

= 5/2 + 7/4

= 17/4

The next step is to calculate the fabric that she needs

= 17/4-3

= 5/4

If each yard of fabric costs $7.98 then the amount needed can be calculated as follows

= 7.98 × 5/4

= 7.98 × 1.25

= 9.975

= $9.98

Hence Kalista needs $9.98

4 0

3 years ago